diff --git "a/data/dm_maths/full_data_2/17_11255.jsonl" "b/data/dm_maths/full_data_2/17_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/17_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m = 1945 - 2034. Put -3, m, 7, -1 in decreasing order.\nAnswer: 7, -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.03, 22.858, 0 in increasing order.\nAnswer: 0, 0.03, 0.5, 22.858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -17*g**2 + 2*g. Let x(u) = -52*u**2 + 5*u. Determine 11*o(s) - 4*x(s).\nAnswer: 21*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3 - 3)*(1 - 3 + 3)*(0*r**2 - 3*r**2 + 5*r**2).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -20 (c) -1 (d) 0.3 (e) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -54558923 at least -54558914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 39. Calculate the remainder when 149 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148780 divided by 3972\nAnswer: 37195\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/86)\/(2\/(-3))*(-32)\/444.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 652 - 650. Solve -o + 4*m - 14 = m, 0 = n*o + 5*m - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 (base 4) in base 2?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 19*v**3 + 222*v**2 - v + 5. Let t(f) = 15*f**3 + 220*f**2 - f + 4. Calculate 4*o(n) - 5*t(n).\nAnswer: n**3 - 212*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 184 = -620. Let m be (9\/(-6))\/(3\/(-10)). Suppose 8*i = 5*s + 3*i - 945, 0 = s + m*i - z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -59*p**2 - 5 - p + 5 - 2. Let i be x(-1). What is the units digit of (3 - 1)\/((-8)\/i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.24+9.982018\nAnswer: 7.742018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3725839 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 37*-0.04\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -792 + 632. Let n be (-94)\/8 + 360\/f. Sort n, -5, -3, -1.\nAnswer: n, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100101101101010101 (base 2) in base 14?\nAnswer: -1a6c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 = 2*c + 4, 4*c - 31 = -5*q. Suppose -21 = -5*o + c*o. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -7\/1492 (c) -4 (d) 0.02 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*b + 15, s + 5*b = 18 - 0. Suppose a = 2*a - 5. Suppose -25 + 5 = -a*o. Solve -x - 3 = -s*d, -4*x = o*d + x - 23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) -7 (b) -2 (c) 55 (d) 0.4 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5404 divided by -2702.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/11 or -6174?\nAnswer: -6174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 44045.\nAnswer: 88090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/3)\/((-1)\/(-6)). Suppose 4*c - 2*u = -16, q*c + 2*u = c - 5. Sort c, -2, -1 in descending order.\nAnswer: -1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23043 to the nearest 100.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 1234265.\nAnswer: 1234265.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 27. Let u(h) = h + 12. Let v(x) = 3*t(x) + 5*u(x). What is v(9)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 180*j**2 + 589*j + 614. What is the tens digit of d(-185)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/((-6)\/23))\/((-1)\/(-10)) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 4, z: 4, u: 6, e: 3}. What is prob of picking 3 n and 1 e?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 = x, 3*x - 2*x + 2 = 0. Suppose 14 = u*n - 1. Suppose -n = -l + b + 60, -3*b + 3 = 0. What is the remainder when l is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -805, 4\/3, 50, 0.5?\nAnswer: -805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 2, m: 3, e: 1}. What is prob of sequence ommm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 + 2.5. Which is the third smallest value? (a) m (b) -25 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6684 - 3551. Calculate the remainder when g is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 22*w + 4. Let i = -5722 + 5726. Let t(k) = 22*k + 5. Determine i*t(b) - 5*r(b).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*z - 1413*z + 8670*z + 8948*z + 8932*z in the form h + f*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.91331 rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*k + 24 = 0, 3*i + 2*i - 4*k = 13. Suppose 4*l + 22 = 5*d, 2*d - 4*l + i - 21 = 0. What is f in 4*f + 7 + 4 - 7 + f**d = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-6)\/96). Suppose -3*s + f = s. Find the third derivative of -3*a**s - 3*a**6 + 0*a**2 + a**6 - a**2 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 441\/6*(-696)\/1044?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2812, 5623, 8434, 11245, 14056, 16867?\n\"Answer: 2811*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 - 11*j**2 + 16*j - 5. Is i(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:15 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -48\/36827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(152)\/sqrt(8)*-1) + sqrt(19) - (sqrt(19)*-2*-5 + sqrt(19)))**2 - (-2 + -2*sqrt(171))**2*1.\nAnswer: -24*sqrt(19) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11, -26, -47, -74, -107, -146, -191?\n\"Answer: -3*c**2 - 6*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7620 + 6523. Sort t, -5, 2 in increasing order.\nAnswer: t, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (75 + -71)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u. Solve u = 3*y - 3*k, 2 = k + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1413*v + 835*v - 3520*v - 579*v = 191757 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -25, -48, -69, -82?\n\"Answer: p**3 - 8*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/27))**27\/(h**(1\/4)*h*h\/h**(2\/27)))**(-30) assuming h is positive.\nAnswer: h**(635\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 7 + 3)*(k**4 - k**4 + 2*k**4) + 4*k**4 - 4*k**4 - 4*k**4 as u*k**4 + h + c*k + p*k**3 + y*k**2 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9083009 is divided by 50461?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89934329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2 + 1591*j = 0.\nAnswer: 0, 1591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288) - sqrt(32))\/(-6*(sqrt(576) - (-2*sqrt(576) + sqrt(576)) - sqrt(576))))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:24 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4539 + -4539.9308. Round b to 2 decimal places.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 30*k**2 + 2. Let y(o) = 900324*o. Determine x(y(i)).\nAnswer: 24317499149280*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (21 - (-16 - -19) - -8).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-18))\/((-1)\/(-9)). Suppose -f*d - 32 = 2*d. Is (-470)\/d - (-3)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 698, 690, 670, 632, 570, 478, 350?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25328 - 25333.2638. Round y to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*b + 1574 - 513*b + 807*b - 1574.\nAnswer: -75*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(5\/2)\/r))\/((r**(-5)\/r)\/r) assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.464 - -0.236. Which is the closest to 1\/4? (a) 2\/7 (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:13 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4124, -4177, -4232, -4289, -4348, -4409, -4472?\n\"Answer: -r**2 - 50*r - 4073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -29, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.74 + 16.74. Suppose t - y + 2*y = -3, t + 3*y = 1. Let r = 3 + t. Put -1, r, 1\/6, d in decreasing order.\nAnswer: 1\/6, -1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l - 0*l. Let f(g) = g - 3. Let b be f(3). Solve l*w - 4*w = b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/2 - 33*g**4\/2 - 149*g**3\/2 - 259*g**2\/2 - 99*g - 28 = 0. Calculate g.\nAnswer: -28, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211569, -207025, -202465, -197883, -193273?\nAnswer: -188629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 767260160 to the power of 1\/2, to the nearest integer?\nAnswer: 27699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)*(s\/((s\/((s*(s*(s**(2\/9)\/s*s)\/s)\/s)\/s*s))\/s))\/s*s**(-2\/27)\/s**(-2\/17))**(-2\/31) assuming s is positive.\nAnswer: s**(-2138\/71145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -413.38 + 411. What is l rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + -5*(sqrt(1100) + -3))**2 - ((-1*sqrt(1100)*-1 + -6*(1 + sqrt(1100)))*-5)**2.\nAnswer: -660371 - 17300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:35 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q*q**(-3\/2))**(-1\/5)\/((q**2)**11*q**0\/(q*q**5*q)) assuming q is positive.\nAnswer: q**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*t - 26 = -5*t, 5*f = -2*t + 31. Suppose 0 = f*r + 5*m - 30, 6*m = 3*m. What is the units digit of (10\/(-3))\/((-1)\/r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 - 20288*l**2 - 40582*l - 20292 = 0.\nAnswer: -1, 10146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1857, 3 in decreasing order.\nAnswer: 5, 3, 0, -1857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.387 (b) -3\/7 (c) 0.4 (d) 15 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70972, 141963, 212954, 283945?\n\"Answer: 70991*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 5, -3, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 23606090.4.\nAnswer: 23606090.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 2*w - 8. Let f(n) be the first derivative of 4*n**2 - 2. Let g be f(1). Let t be h(g). Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 91*u**2 + 5*u - 1. Let r be b(-1). Let s = 91 + 0. Suppose 2*p - r = s. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 - -69?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 17 = 3*f, -2*f - 3 = 2*o - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - 242708?\nAnswer: -242729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = 7. Suppose -2*j - d*r + 57 = 0, -6 = -j - 0*r + 5*r. Let n be (2 - 12\/j) + -2. Is 0 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321479392 divided by 6764?\nAnswer: 47528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z + 158 + 23 + 88 + 263.\nAnswer: -52*z + 532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9 - d**2 + 8*d**2 - 2*d**2 + 2*d. What is the tens digit of f(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17\/(5 + (-48)\/10)*9. What is the highest common divisor of w and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.124133km in nanometers?\nAnswer: 6124133000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(99) + -1 + sqrt(720)*2*1.\nAnswer: -1 + 73*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1563, 1822, 2117, 2466, 2887, 3398, 4017?\n\"Answer: 3*u**3 + 238*u + 1322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13837894*f**3 + 29526*f**2 - 144.\nAnswer: -83027364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 88685.7 to the nearest one hundred.\nAnswer: 88700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -229 + 246. Suppose t*v = 1031 + 2658. List the prime factors of v.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 84. Let u be z(0). Let n = 75 + u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -1884?\nAnswer: -1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(68)\/(sqrt(16)\/sqrt(4)) - (sqrt(17) + (sqrt(170)\/(sqrt(40)\/sqrt(4)))**2 - sqrt(17))) + sqrt(153)*3 + -5)*1.\nAnswer: -23 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 426 = 2*n, 4*s - 2*s = 5*n - 1023. Suppose 3*p = 11 - n. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 2*d**2 + 0*d**2 + 2*d**2 - 2*d**2 to l*d + p + b*d**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 12) to base 8\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 14*x**2 - 23*x - 20. What is the tens digit of g(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -8*f + 4*r + 20, 7 = -5*f + 4*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*g - 19, -c = 4*g + 3*c - 20. Let s(f) = 3*f**g - 4*f**2 + 3*f**2. Let d(u) = -4 + 4 - 2*u. Give d(s(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 5 (c) 1\/4 (d) -5428 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 2. Let k be n(11). Let v = k - 15. Suppose -v*z + 25 = -25. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4*sqrt(275))**2*3 - ((sqrt(275) - (sqrt(275) - sqrt(275)*-2)) + -2)**2) + 0.\nAnswer: -40*sqrt(11) + 12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 956, 3721, 8178, 14327, 22168, 31701, 42926?\n\"Answer: 846*l**2 + 227*l - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*k + 15, 133*m + 4*k - 37 = 130*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - 696*u**2 - 8542*u - 213. Give j(-219).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -24446686 and -24446686 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215492326?\nAnswer: 2, 7, 15392309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 + x**4\/2 - x**3\/6 + 7*x**2\/2 + x. What is the tens digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84541 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 598145*f. Let o(p) = 9*p. Determine w(o(a)).\nAnswer: 5383305*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4010, 4272, 4978, 6350, 8610, 11980, 16682?\n\"Answer: 37*c**3 + 3*c + 3970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.19 - -36.19. Which is smaller: 71 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -13 + -7 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-118*n**2 + 148*n**2 + 266*n**2)*(-10 + 0 - 3 + 2*n) to the form i + s*n**3 + t*n + v*n**2 and give v.\nAnswer: -3848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -11) + 3 - (22 + -5)) + (3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121577.\nAnswer: 121577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4981 times -0.895\nAnswer: 4457.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1021*j - 990*j - 2635279 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1943 and 2048994.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2 - 2) + 4. Suppose -3*n - u*r = -240, n - 90 = -0*n + r. Suppose 4*j = -j + n. Calculate the remainder when 49 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 457 and 9360731?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-876340.\nAnswer: -26290200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28832 and 377248.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7413370 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31506443, -31506444, -31506445, -31506446, -31506447, -31506448?\n\"Answer: -y - 31506442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6152581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 377 = -64. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249223165\/4 greater than or equal to 62305790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2758.9 - 2758.921278. What is m rounded to 4 dps?\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let y(x) = -7*x. Let k(f) = 5*g(f) + y(f). Suppose -l - n + 3*n - 7 = 0, 4*n = 4*l + 8. Let a(t) = -l*t - 7*t + 4*t. Give k(a(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17424 = 157*l - 141*l. Calculate the highest common factor of l and 847.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -3)*5 + sqrt(1216) + sqrt(1216)*2 + -3.\nAnswer: -18 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0.0351 in ascending order.\nAnswer: 0.0351, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 4 - 4)*(2 - 3 + 2)*((-110*y + 94*y - 112*y)*(4 - 5 - 2) - 2*y + y + 2*y).\nAnswer: -1540*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0977 + -0.09768626. Round h to 7 decimal places.\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1638 divided by -21894\nAnswer: 273\/3649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from pnphhhphhnphhnpnp.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -5, -46, -129, -266, -469, -750?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-30)*(4 + 1). Let g be 4\/22*(-3)\/(-6). Let z = 0.7 - 0.7. Which is the nearest to 2? (a) g (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 - -0.43. Let i = -0.55 - c. Let b = -0.05 + i. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puupfa. What is prob of picking 1 p and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43496903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.7 - 9.3. Let g = s + 75.74. What is g rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 267*j**2. Let n(w) = -59*w**2. Determine n(a(s)).\nAnswer: -4206051*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.580563 rounded to two decimal places?\nAnswer: 308.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.053 + 37.053. Let o = r + -20. Let c = -16.8 + o. Sort c, 1, 0.4 in increasing order.\nAnswer: c, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-1)*5\/45.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3308, -3295, -3280, -3263, -3244, -3223?\nAnswer: -3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15279 + 15447 + d**2 - 2*d**2.\nAnswer: -d**2 + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 56 + 44 = 0. Calculate the remainder when j is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2346088 plus 616?\nAnswer: -2345472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q + 3. Let z be (56\/1260)\/(2\/3 - 1). Sort 3\/4, -1, q, z.\nAnswer: q, -1, z, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 357624742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15125?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3916 to two decimal places.\nAnswer: 3.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2946*l**5 - 34*l**2 + 9 wrt l?\nAnswer: -176760*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3564869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 18 = -l, 0 = -2*l - 3*x + 16. Suppose -2*w + 11 = f, 14 = 2*f - 0*f + l*w. Suppose 3*s = -3*u - 2*u + 1, -f*s + 5*u + 41 = 0. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 3200312?\nAnswer: -3200322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 557.4214 - 557. Let n = o + -0.423. Round n to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 258202 and -133.\nAnswer: 258069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8287907?\nAnswer: 59, 140473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1603623 (base 7) to base 10.\nAnswer: 219831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14356690 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r\/r**(-1)*r)\/r*r)*r)\/r)**(-31\/5)\/(r\/r**0)**(3\/11) assuming r is positive.\nAnswer: r**(1008\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21279*o + 29342 wrt o.\nAnswer: 21279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1997529 at most as big as -1997625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2004.793612 to the nearest integer.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3)*t\/t**(1\/12))\/(t\/t**2)**(1\/11) assuming t is positive.\nAnswer: t**(353\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/32823 and -46\/33862395.\nAnswer: 101587185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1174, 2319, 3438, 4537, 5622, 6699?\nAnswer: 7774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 1. Let z(y) = -y - 4. Let u(x) = 3*r(x) + z(x). Suppose 2*m = 4*d + 24, -4*m = -5*d - 20 - 13. What is u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -267 + (-9)\/(7 + -4). Let k = c + 695. Suppose -2*g - 3*g = -k. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 5. Let f be j(-5). Suppose -o - 9 = -5*k + 9, -4*o + 8 = f. Let i be (-3 - -3) + (-44)\/(-4). Solve i = k*w + 27 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-539) + 1555687\/(-155771).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1149847, 1150156, 1150671, 1151392, 1152319, 1153452, 1154791?\nAnswer: 1156336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/3 - 7*u**3 - 195*u**2. Calculate z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 70?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:38 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37943\/26 + 18991\/13. Factor 12 + 21\/2*l - d*l**2.\nAnswer: -3*(l - 8)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -81 - -12?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4626 * -35.425.\nAnswer: -163876.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 c when four letters picked without replacement from {i: 6, v: 4, c: 7}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -75. Suppose 0 = r*m - 5*m - 30. Put m, -3, 1 in ascending order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 69*o + 2119. Calculate m(-54).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = 4. Let c(g) = -g**2 + 3*g + 4. Let p be c(q). Suppose p = -y + 5*y - 236. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/6 + 1*4. Solve -t + 12 = r*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**5)*r*(r*r**(2\/7))\/r*(r**0)**(1\/17))**48 assuming r is positive.\nAnswer: r**(2448\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**7\/420 + 7*q**5\/120 + 5*q**4\/12 - 2*q. Let u(d) be the third derivative of z(d). Differentiate u(r) with respect to r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2810 and 2529?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4831342713.\nAnswer: 3, 397, 450727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5. Suppose 3*g - 11 = a. Let z = 443 + -441. Solve -z*i - 12 = g*q, 4*i - 7 = -4*q - 27 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/6*(-4)\/(-6). Suppose 9 = -5*l + s*c, 8*l + 12 = 3*l + 4*c. Put l, 1, -1 in ascending order.\nAnswer: -1, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 2) + 3\/1. Suppose s*d = 19 + 3. Let m = 18 - d. Solve 1 = -2*v - 5*y, 5*y = v - 5*v - m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**47\/z)\/(z\/z**6))\/(z\/(z**12*z))**43 assuming z is positive.\nAnswer: z**567","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8)\/(1\/2). List the prime factors of w\/(16\/(-6332)) + 3\/(-4).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4536 and 142695?\nAnswer: 3424680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -235440 (base 6) to base 3\nAnswer: -1001101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/36 and -82\/225.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 5*l - 6. Let x be t(2). Suppose 0 = -h + x*h + 301. Let y = h + 103. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 9688.3976\nAnswer: -29065.1928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 51 = -15. Let d = -115 - -118. Let k = -1 + 1. Solve d*u + 0*u + a = k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 3, z: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b, 4*f + 5*b = 3*b. Let s(q) be the second derivative of 1\/10*q**5 - 1\/3*q**3 + 0 + 0*q**4 + f*q**2 - 2*q. Factor s(i).\nAnswer: 2*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*g - 128*g + 94631 + 384085. Is g a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-1))\/(1\/(-1)). Let y = m + 113. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1))**(8\/7)*(q**1\/q)**(1\/76) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -30*h + 21. Let c(s) = 6*s - 4. Let q(r) = -21*c(r) - 4*t(r). Let d(g) = -7*g. Give 4*d(v) - 5*q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -29. What is the highest common factor of 51 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**3 + 43*s**2 + 36*s - 43. What are the prime factors of g(15)?\nAnswer: 2, 7, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -14. Suppose y = u - 3 - 0. Suppose u*m - 2*p - 48 - 9 = 0, m = 2*p + 23. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 21*p - 22. Suppose -u + 4 = o - 2*o, 3*o - 16 = -u. What is the remainder when i(u) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/4 (b) -0.1 (c) 0.58 (d) 87\/391 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*l + 40*l + 3*l)*(-11 - 11 + 11).\nAnswer: 286*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 79646.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*c + 2*c**2 - 41*c**3 - 5*c**3 - 18*c**3 - 5.\nAnswer: -64*c**3 + 2*c**2 + 70*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1549.700006471 + -1549.7. Round k to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 43*q - 765. Let g be n(19). Solve -10*y - g = -23*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -102*v**2 + 0*v + 2 - 4\/3*v**3 + 1\/10*v**5 - 11\/24*v**4 + 1\/120*v**6. Give c(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -595000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*l = -19 + 13, 0 = -4*l + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1111703*d**4 - d**3 + 2*d - 42189 wrt d?\nAnswer: 13340436*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3249, -3259, -3269, -3279?\n\"Answer: -10*n - 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = f - 5*f. Let p(q) = 5 + f*q**2 - 5. Let v(h) = -676*h + 364*h + 314*h. Calculate p(v(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + 99 - (2 + -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + 15*i**2 + 8*i + 57. Is j(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35947 and -108811957.\nAnswer: -108847904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 402*n**5 + 3*n**4 - 184*n**3 - 20*n**2 + 369035*n?\nAnswer: 24120*n**2 + 72*n - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/20 + 293*i**4\/12 - 4*i**3 - i**2 + 2956*i. What is the second derivative of o(b) wrt b?\nAnswer: 6*b + 586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424 - 454 = 2*z. Suppose -z - 148 = -3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*n - 7*n + 8*n + 72*n as j*n + v and give j.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/464 + 16469\/1392. Calculate the common denominator of -34 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 9:36 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/7, 0, -96?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-21) + (-4)\/6. Suppose m - 8 = 3*x, l*m - 10 = -2*m + 4*x. Let g = m + 19. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545135749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.08525 and 1604424.\nAnswer: 1604430.08525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -3*r - 20. Suppose r*x + y - 55 = 6*y, 3*x - 2*y - 35 = 0. What is the highest common factor of x and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -173 - 311. Calculate the lowest common multiple of 1056 and w.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 917 and 438457.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5581286, -11162579, -16743872, -22325165?\nAnswer: -27906458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-55)*(-35)\/(-931). Is 0 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29844.44124 rounded to the nearest one hundred?\nAnswer: -29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-5) - (-27 + -12). Is y at most as big as 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-330 + 119 - 279)*(-2*i + 2*i - 2*i)*(-1 - 4 + 4) in the form d + w*i and give w.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3038, 3028, 3004, 2960, 2890, 2788, 2648?\nAnswer: 2464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01513 + -0.38513. Let x = 9.8 + -10. Put y, x, 0.2, -0.3 in ascending order.\nAnswer: y, -0.3, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 5*n**2 + 3. Let q be -8 + -1*(-6)\/3. Let s = -1 - q. Let r be z(s). Sort 4, r, 0 in descending order.\nAnswer: 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/21)\/l**6)\/((l**(5\/8)*l)\/(l*l**16)))**29 assuming l is positive.\nAnswer: l**(46139\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 72 - -5 - (19 - (28 - 13)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.6. Let q be 18\/(-5) + 6\/(-15). What is the nearest to 0 in x, q, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -t - 0*t - 15, -21 = -5*t + w. Suppose 3*s + 4*a = t*s - 6, 4*s - 4*a = 16. Let k(r) = r. Let z be k(-6). Put z, -5, s in decreasing order.\nAnswer: s, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -639033380 by -4372.\nAnswer: 146165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27886.65 millennia in years?\nAnswer: 27886650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*0 - -19. What is the remainder when 58 is divided by (-1 - 2) + v + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8013900 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*l**3 + 24*l**3 - 19*l**3 - 43*l**3.\nAnswer: -185*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/15 + 46\/(-6). Let a = u + 8. Let o be (-2)\/5 + (-4)\/(-10). Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a - 164 = -5*i, -5*a = 4*i - 376. Let d(k) = k**2 + 11*k - 18. Let b be d(-13). Calculate the highest common divisor of a and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13093 and -3.8.\nAnswer: -49753.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 13*m + 14. Let v be p(12). Let i be -1*(-4 - 2) - v. Solve 0 = -i*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.43504487 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5788\/13 (b) 0 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = -9*y + 22. Let i be 0\/((y + 5)*1). Let l(z) = z + 11. Let r be l(-6). Solve -r*c + 30 = -5*m, i*m + 3*m = c - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -435, -433, -429, -423, -415?\n\"Answer: d**2 - d - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00748246 to 5 dps.\nAnswer: 0.00748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p = 273*p - 387 + 1033 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, and 2 z when four letters picked without replacement from tztzkjzjz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1544730*g**2 + 100379*g + 12 wrt g?\nAnswer: 3089460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -3868105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/403575 and -26\/125.\nAnswer: 2017875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - b**5 + 2*b**5 + (2*b**3 + 3*b**3 - 6*b**3)*(-b**2 + 2*b**2 + 0*b**2) + 2*b**5 - 2*b**5 + 2*b**5 - b**5 + 6*b**5 + 2*b**5.\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98286 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 smaller than -1162\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -12026\/1035?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61.623 + -65.623. Suppose -4*r + r = -2*q + 13, -3 = -3*q - r. Let n be -2*(15\/4)\/(-3). Which is the biggest value? (a) t (b) q (c) 4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17273560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 49. Let c be (-1)\/(22\/(-45)) - r. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11058 and 693530115?\nAnswer: 5529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 12700.\nAnswer: 25400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15180000 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35424456 a multiple of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4))**(-5\/2) assuming m is positive.\nAnswer: m**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.0369.\nAnswer: -0.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278.09 - 613.1. What is p rounded to zero decimal places?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122.159 - -121.9. Round c to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2584 = -191*d - 4116 - 13737 for d.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*t**3 + 5*t**3 - 2 + 435*t**2 - 23*t**3 + 0*t**3 to the form a + o*t**3 + q*t + i*t**2 and give i.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-3))\/28)\/((-994)\/17395)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 3*v - 9. Let x be w(-7). Let u = 12 - x. Suppose i + u = 2. Calculate the greatest common factor of 16 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11882, 11885, 11888?\nAnswer: 11891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3 - x - 2 + 10. Let j be f(3). Suppose 2*s + j*s = -20. Put 4, s, -2 in descending order.\nAnswer: 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.4 - 27.76. Round m to one decimal place.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23*r**3 + r**2 - 2*r + 2. Let j be (-4693)\/(-5187) + (-4)\/(-42). Calculate n(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + 40b27?\nAnswer: 40b38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*g**3 - 53*g**2 + 3*g + 36713.\nAnswer: -576*g**2 - 106*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 760*s - 22799. Give g(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1562, -12253, -41268, -97769, -190918, -329877, -523808?\n\"Answer: -1527*f**3 - 2*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 21 + -774 + 743.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -8430.\nAnswer: -13\/8430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c - 5*r - 42, 2*c - 18 = r. Let a be ((-2)\/(-2))\/(-1)*-1. What is the highest common factor of c and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/21 and -101\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 4. Let x be i(6). Let t = -32 + x. Let s = 38 + t. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15*x**2 + 67*x - 17. Calculate the smallest common multiple of s(-5) and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9455 - 9450. Suppose 0*y - 4*q = y - 17, 26 = 4*y + 2*q. Let i = -28 - -84. Solve y*j + 16 - i = 5*a, -3*a + x*j = 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 - 3*a - 8. Is p(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Let q(u) = -177*u. Determine q(r(n)).\nAnswer: 354*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 100832 divided by 2192?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3a995b (base 12) to base 14\nAnswer: -1b3ad1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 19498*k + 760423. Determine m(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(2*(-9)\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4263 and 84315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*b - 8. Let n be (b - 3)*(-2)\/(-1). Solve 4*q = -6*o + n*o, -5*q = -4*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + (-87 - -63) + -90?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:07 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 9) to base 4.\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335\/6 - -139\/2. Suppose -4*b = -4*p, p - 5*b + 10 = 2. What is the common denominator of n and (p\/(-4))\/(2\/174)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 41*w**4\/6 + 5*w**3\/6 - 8*w**2 - 101*w. Is l(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/120 - n**5\/15 + n**4\/6 - n**3\/2 - 10*n**2 - n. Let d = 0 - -2. Determine a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 188 and 167 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 1, r: 2, i: 3, s: 1}. What is prob of picking 3 g and 1 s?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/(y\/(y\/(y**(2\/5)\/y)))))*y)\/(y**6\/y)*(y**(-1\/9)\/y)\/y**1)**(-28))**27 assuming y is positive.\nAnswer: y**(17052\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 93*t**4 + 2*t**2 - 80*t**3 + 88*t**3 - 6*t**3 in the form x + s*t**3 + y*t**2 + z*t**4 + u*t and give z.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0325 + 0.2325. What is the second smallest value in -9, -0.1, f, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412500 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14793999, 29587994, 44381989, 59175984, 73969979?\nAnswer: 88763974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from bbfblblbblbbfbflf.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*l**2 - 116*l**2 - 111*l**2 - 116*l**2 - 112*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307178 is divided by 307143?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 57, -241, -2990, 5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 499021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*t + 9 = 0, 5*q + 11 + 3 = -3*t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -17531475007.\nAnswer: 17531475006.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - i + (-6 + 2 + 1)*(2*i - 5*i + 4*i))*(3*i**2 - 4 + 4).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let h be (10 - 11)\/((-5)\/(-79)). Let s = h - -16. Which is smaller: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**4\/24 + b**3\/6 + 733*b**2 + 3*b + 1. Suppose -12 = -3*l - 0. Let z(r) = -7 - l*r - 2*r + 2*r. Give 6*i(t) + z(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32210761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 924557, 1849112, 2773681, 3698270, 4622885, 5547532, 6472217?\n\"Answer: o**3 + o**2 + 924545*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 175b - -3?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 15) to base 7\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/9 + 98*q**4\/3 + 2026*q**3\/9 - 21562*q**2\/3 - 22724*q = 0. What is q?\nAnswer: -138, -19, -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 3*u**2 + 3*u - 3. Let g be w(2). Suppose p = g*p - 48. Calculate the least common multiple of p and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h**3 - 7*h**2 - 7*h. Let u(w) = 9*w**3 + 5*w**2 + 5*w. Let q be ((-4212)\/27)\/(-1*2). Let c = q + -83. What is c*n(z) - 7*u(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + ((4*(sqrt(72)*1 + sqrt(72)))\/(sqrt(1296)*-2))**2.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -105?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {p: 8, j: 9, e: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1034*d**2*f**2 + 618*d - f**2 wrt d.\nAnswer: -2068*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 240\/495 - ((-24)\/(-30))\/(22\/(-5)). Factor 2\/3*q**3 + c*q + 4\/3*q**2 + 0.\nAnswer: 2*q*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -15. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(-11*h - 14*h + 13*h) as f + w*h and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1781.117 times 0.5\nAnswer: 890.5585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -4, 8, 3 in decreasing order.\nAnswer: 41, 8, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*(-20)\/8*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j**(-11)\/j)\/j)\/j)\/(j**(-40)*j))\/(j*j\/j**26)**(-12\/11) assuming j is positive.\nAnswer: j**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/15))**(-27)*(t*(t**(7\/4)\/t)\/t)\/(t\/t**22) assuming t is positive.\nAnswer: t**(-177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 15710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 426142 (base 7) in base 11?\nAnswer: 507a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7422.9 centimeters?\nAnswer: 74229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114191626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 2477\nAnswer: 22\/2477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 52. Let r(a) = 22363*a**2. Calculate o(r(g)).\nAnswer: 500103769*g**4 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 10*y**2 + 10*y - 10. Let v be m(9). Let q(k) = -29*k. What are the prime factors of q(v)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28.9, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 8, -5*j - s - 91809 = -91790 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2. Let t(w) = -5*w**2 + 2*w. Determine l(t(c)).\nAnswer: 175*c**4 - 140*c**3 + 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12783, -51095, -114943, -204321, -319223, -459643, -625575?\n\"Answer: g**3 - 12774*g**2 + 3*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8378577221 to the nearest integer?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 385957, 771912, 1157867?\n\"Answer: 385955*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-8)\/(-4) - -2 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2094112 divided by -8.\nAnswer: -261764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/30 - b**4\/3 - 5*b**3\/6 + 2*b**2. Let q be i(5). Solve -n = -k + q, k = 6*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -321 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1938788800 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13618795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121179370.\nAnswer: 2, 5, 13, 932149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = j - 154. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81 + (68 - 119) - 19) + (1 - 0 - 18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 18 - 3 = 0. Let m(i) = 1. Let p(h) = h + 1. Let z(u) = l*m(u) - p(u). Let k(y) be the third derivative of -11*y**4\/12 - y**2. Give k(z(v)).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 7*k**2 + 10*k + 18. Let b = 3 - -1. Let a be b\/(((-35)\/(-10))\/(-7)). Let m be j(a). Solve -25 = 5*n, 5*w - n = m*n + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 13*w - 17*w. Let m(u) = u. Let b(o) = -12*o + 51. Let x(t) = w*b(t) + 12*m(t). Differentiate x(i) wrt i.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19)*5)**2)*3 - (sqrt(171) + 5*sqrt(171) + sqrt(171) + sqrt(171))\/sqrt(9))*2.\nAnswer: -2850 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3660168 and 612?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-140)\/(-204) - (-3)\/(-9). Is 1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 2*w**2 - 102759*w**3.\nAnswer: -102759*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 1:11 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - 188 + 56 + 54 + 66 + 7*a**3 to the form l*a**2 + t + j*a**3 + i*a and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, d: 3, i: 7, g: 1}. What is prob of picking 1 f and 2 d?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 21. Let j = -313 + 306. Let o(w) = 5*w**2 - 49. Let u(l) = j*r(l) - 3*o(l). Let g(m) = -9*m**2. Give u(g(n)).\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -139 + 1. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 1, z: 2, h: 8, n: 2}. What is prob of sequence ozpn?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310360 and 1080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -47\/10, -4284 in increasing order.\nAnswer: -4284, -47\/10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-6)\/(-9) + 138. Let t = s + -136. Let k be ((-136)\/32 - t\/8) + 1. Let b(g) = g**2 + 2*g + 4. Calculate b(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i - 6. Let w(f) = -2 - f**2 + 4 + 0 - 4*f. Let m be w(-5). What is the units digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/26 + (101\/(-606))\/((-78)\/(-140))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000111617063 rounded to seven decimal places?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 37 = -2*n - 5*k, 4*n + 4*k = 44. Solve 5*t - 1 = -n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*r + 143, 0 = -3*k + 3*r - 0*r + 90. What is the remainder when (-1)\/2*172*-1 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 + -0.2. Let m = h - 3.2. Let j = 583.3 + -583. Which is the nearest to -1? (a) m (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183795 is divided by 978.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-40)\/24)\/((-2)\/18). Solve 4*f - 16 = v*t, 0 = 3*t + 2*f + 6 + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190 (base 11) to base 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-1170))\/(24\/(-15) + 2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34610 divided by -30.\nAnswer: 3461\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17167 - -16?\nAnswer: -17151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6545100 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 2*v**4 - 5*v + 16*v - 2 - 11*v.\nAnswer: -2*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 7*i - 2*y - 1, 0 = -2*i - 4*y - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 1\/5 (c) 1.229 (d) 2 (e) -3.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdd when four letters picked without replacement from gtdgddhddhddhhhhdh?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 = 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 10411?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46030423.12136 - -5.\nAnswer: -46030418.12136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 6}. What is prob of sequence txtx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4908 = -3*u, -12*u + 8192 = -7*u - l. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*p + 5 - 1621*p - 5 + 824*p + 0.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200210 - 10?\nAnswer: 200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -900781.1707 rounded to the nearest one hundred?\nAnswer: -900800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 0. Calculate the remainder when j\/(-9)*-3 - -34 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/30 - z**2. Suppose -4 = 4*k - 12. Let c(v) = -3*v**2 + 3*v**k + v**2 - 3*v**2. Determine c(x(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.1 + 24.2. Which is the closest to 0.1? (a) -2 (b) r (c) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5\/3, 0, 1\/8, 19\/11, -6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283173927 is divided by 1794?\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.1 (b) -0.4 (c) -4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.8, 0, -0.5, 7 in increasing order.\nAnswer: -4.8, -0.5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(18))\/(sqrt(112)*4).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2 - ((-665)\/84 - -9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 226129853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from lhha.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 29*v - 36 + 178*v - 70*v + 21.\nAnswer: 137*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -9*u - 12. Let f be (2 - 0)*-1 + 9. Suppose -u = -4*s, 2*k + f*s = 3*s. Let p(i) = 2*i + 9. What is p(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00137462 rounded to 6 decimal places?\nAnswer: 0.001375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/4 (b) 2\/11 (c) -4 (d) 204 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/60)\/(-16 + (-42)\/12).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 8, -2*m - 46 = -3*m + 2*y. Is 41 a factor of (-2)\/(-27)*6 - (-58674)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -6094636.\nAnswer: 1828390.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015626 rounded to five decimal places?\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1937*l + 7753. Let u be n(4). Sort -3, u, -235 in increasing order.\nAnswer: -235, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 811\/9. Let q = 0.56 - 2.06. What is the nearest to 1\/2 in n, q, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096*z**2 + 30708*z - 560 = 0. Calculate z.\nAnswer: 5\/274, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2351535 and 665?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u - 14 + 44. What is the highest common divisor of u and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 31*d**2 + 3257*d + 198. What is s(-105)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -3*f**5\/10 - f**4\/24 + 2*f**2. Let w(s) = 126*s - 9071. Let t be w(72). Determine h(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**5\/120 - 135*l**4\/16 + 407*l**3\/6 - l**2 - 21*l - 1. Factor d(s).\nAnswer: -(s - 2)*(s + 407)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -2661130205?\nAnswer: -2661130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 29 + 9*i as l + z*i and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 2423, -25 in ascending order.\nAnswer: -25, -17, 4, 2423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) - (-2*sqrt(19) + 4)**2 - (sqrt(19) + (sqrt(2299) + 0)**2)) + -3.\nAnswer: -2399 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llw when three letters picked without replacement from {a: 5, w: 1, l: 3, r: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 185*q + 1126. Let d be k(6). Solve 55*w + d = 86*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 - 49*u + 1. Let v be c(-10). Calculate the highest common divisor of 104 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88 and 2?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 26 (b) 0.5 (c) 3 (d) -10 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 1133*k - 61337. Calculate h(57).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 - 179 + 0*r**3 - 173 - 174 + 60*r**3 + 697.\nAnswer: 60*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -178. Calculate the remainder when 221 is divided by m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6896 = -776*t + 345*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - -2503770?\nAnswer: 2504011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*h + 20*h + 12*h - 38*h as m*h + v and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-4\/17)\/((c\/(c\/(c\/(c*c**(-2\/25)*c*c))))\/c**(-2\/9))*c\/(c**(4\/5)\/c)*c\/c**(-4\/3)*c**1\/c**(-1\/2) assuming c is positive.\nAnswer: c**(50773\/7650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 102?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2)*a*a*a)\/a)**38\/(a*a\/a**(-3\/5)*a*a*a**(2\/21)))**50 assuming a is positive.\nAnswer: a**(-4930\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -1 + sqrt(275) + sqrt(275) - sqrt(275)) + 0 + 4)**2 + -2*sqrt(275)*-4 + sqrt(275)*-2 + 5.\nAnswer: 90*sqrt(11) + 1114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from khthnhvkktkn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -20 - 11*l**3 + l**2 + 5*l**3 + 20. Calculate z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + 18. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2 + -4)*2 + 6*(sqrt(325) + -1 + sqrt(325)))**2.\nAnswer: -2232*sqrt(13) + 50296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 361410 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6459, -6575, -6769, -7041, -7391, -7819?\nAnswer: -8325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (46 + -51 - (2 - 2) - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/413831 or -2\/5?\nAnswer: -23\/413831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 + 22*p**2 + 22*p + 169. What is the thousands digit of r(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/3 + (-6)\/(-3). Factor -j**3 + b - j**2 - 21 + 8.\nAnswer: -j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-336) + (-1407)\/(-56)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**13))\/(g**19*g) assuming g is positive.\nAnswer: g**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28284*i + 113158*i - 28293*i - 28280*i - 28290*i + 6 - 6.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*t + 181, 3*t + 2*z - 193 = z. Suppose 4*h = -21 + 57. Calculate the highest common factor of h and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (724\/8 - 2)*2. Let v be 4\/((-48)\/(-9))*4. Suppose -v*y = -1566 - x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -9. Find the common denominator of -1 + n - (-243)\/(-12) and (3 - -1) + (-1 - (-118)\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 63*m + 572 = 0. What is the highest common divisor of 17602 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-2 + -9)) + (26 - (104 + -1))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n**2 - 298*n**3 - 3 + 8*n**2 + 4*n - 4*n + 297*n**3. Determine g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -908, -875, -830, -767, -680, -563, -410?\n\"Answer: z**3 + 26*z - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/2*(-1084)\/16802*(-23)\/2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*i + 37, -99 = -5*f + 4*i + 65. Let p = f + -23. Let r = 19 - 9. Calculate the smallest common multiple of p and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3179987 and -512.\nAnswer: 3179475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 430*c**2 - 28 + 161*c**2.\nAnswer: 591*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h**(-1\/7))\/(h**(1\/4))**32*(h*h*h**(2\/21)*h*h**0*h)\/(h**(1\/3)*h**3) assuming h is positive.\nAnswer: h**(-733\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(1539) + 2)**2 + ((sqrt(304) - ((sqrt(304) + 3*1*sqrt(304))**2 - sqrt(304))) + sqrt(304))*2.\nAnswer: -3536 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 228*v + 26. What is the tens digit of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/24)\/((-1)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at least as big as 4015\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115\/287 - 7\/41. Let z = -1.1 - -1. What is the closest to z in u, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 10*p - 5*p. Let r(u) = u - 3. Determine r(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a factor of 13475488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 82780*t + 342626420 = 0.\nAnswer: -8278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 414*z**2 - 42009*z - 174724.\nAnswer: -(z - 209)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 - 4*u**5 - u**5 + (-u**2 + u**3 + u**2)*(-u**2 + 1 - 1).\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159.376 + 0.376. Let j = -158 - v. Which is the third biggest value? (a) j (b) 1\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -254150?\nAnswer: -3\/19550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 10*n**2 - 10*n + 4. Let z(o) = -1. Let t(i) = -g(i) + 4*z(i). Let u be t(9). Let m be (2 + u)\/((-18)\/12). Are -1 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h)*(3*h - 4*h - 2*h) + 3*h**2 - 4*h**2 - h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*x**3 - 15*x**2 + 13 + 17 + 25*x + 5*x**4 - 2*x**3 - 19*x + 29*x.\nAnswer: 5*(x - 3)*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*a + 2*y, y + 0 - 1 = 0. Suppose -6*k = -a*k + 51. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1267 (base 8) to base 16\nAnswer: 2b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 19*q**2\/2 + 4205*q - 25401\/2 = 0?\nAnswer: -8467\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7959*h**5*j**3 + 5*h**5 - 3*h**2*j - 21090*h*j**3 wrt h?\nAnswer: 477540*h**2*j**3 + 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3 + 35\/15)*(9 - 2940\/192) and 39\/3524.\nAnswer: 21144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395.7661ml to litres.\nAnswer: 0.3957661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 19871882\nAnswer: -11\/19871882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 67\/5. Sort 3, -0.1, o in increasing order.\nAnswer: o, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6*j = 5*i + 21, 2*i = -i + 14154*j - 14156*j - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1961 and 39\/74?\nAnswer: 3922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 69, -0.5, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 4 - 6)*(0 - l + 0)*(4*l**3 - 2*l**3 + 0*l**3) as w*l**4 + r + z*l**3 + h*l**2 + p*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -270, 2\/53, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 - 109*u + 177. What is the smallest common multiple of 1215 and t(-28)?\nAnswer: 37665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 106?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 51*c - 92. Let g(p) = -2*p**2 - 102*p - 187. Let u(j) = -6*g(j) + 13*v(j). Let b be u(-44). What is the highest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*g + 771 = -143*g - 1017 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 298498769 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 + -1?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 30 = 6*r. Let m = r + 13. Calculate the greatest common factor of 49 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1480 (base 10) to base 15\nAnswer: -68a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (201 - 204) + 12\/(-42) + 6598\/14 and 60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbi when four letters picked without replacement from iiiibbiiiiiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53275 and -2.7.\nAnswer: -53277.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7384, 14775, 22168, 29563, 36960?\n\"Answer: l**2 + 7388*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.9 - -12. Let i = -1 + t. What is the smallest value in i, 5\/2, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**6\/3 - 4*o**5\/5 - 141*o**3 - 265. What is the third derivative of n(a) wrt a?\nAnswer: -120*a**2 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**3 + 11*x**2 - 11*x + 11. Let d(b) = 3*b**3 + 6*b**2 - 6*b + 6. Suppose -59 + 4 = 5*t. What is t*d(q) + 6*w(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -733, -1094, -1449?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119.4 + -112.4. Sort 1\/8, p, 4.\nAnswer: 1\/8, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 7*m**5\/2 + 1335*m**4\/2 - 435999*m**3\/2 + 23936089*m**2\/2 - 26347458*m + 6555942 = 0.\nAnswer: -379, 2\/7, 2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -940*o**2 + 16*o - 5. Let f be a(2). Round f to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*v - 580*v + 76558 = -203*v - 184*v for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-14)*s))\/(s\/s**(-17)))\/(s**(3\/13)*s**(2\/85)))**19 assuming s is positive.\nAnswer: s**(-89319\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -1109682208?\nAnswer: 1109682207.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050*(-104)\/(-2912)*2\/(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 98 = 4*d, -3*d + 4*z - z - 87 = 0. Let m = 28 + d. Suppose -7 - m = -w. What is the highest common divisor of 27 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 327*l**2 + 762*l - 36387. Calculate j(325).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 20*f + 47. Let b be r(-22). Suppose -n = -3*k - 19 + 305, -5*k + b*n + 474 = 0. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmohoooomm. Give prob of picking 1 m and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 91604, 732785, 2473138, 5862251, 11449712?\n\"Answer: 91598*b**3 - 2*b**2 + b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 10:42 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 10) in base 9?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-12))\/(2\/(-260)). What is the greatest common factor of 26 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -317350 by -10.\nAnswer: 31735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*q + 5, 0 = -2*h + 5*q - 5 + 2. Let f = h + 9. Suppose -5*r + 5*i = -0*i - 145, f*i = r - 37. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/9)\/(3 - (-908)\/(-300)). Suppose 5 = -8*y + 3*y + h, -q = 3*y - 5*h. Solve -2*o + 5*d = -4 - 8, y = -5*o - d - 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -0.4. Let u = -6.698 - -7.698. Which is the closest to 3? (a) 4\/5 (b) m (c) -5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -478? (a) -2\/23 (b) 2\/7 (c) -0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 14*y**2. Suppose -5*m + b + 22 = -3*m, 0 = -4*m - 3*b + 54. Let n(x) = -x + m - 12. Calculate i(n(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1485*r**3 + 11*r**2 + 14*r - 2. Let f(z) = 495*z**3 + 4*z**2 + 5*z - 1. What is -8*f(x) + 3*p(x)?\nAnswer: 495*x**3 + x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 a, and 1 u when three letters picked without replacement from aalalllllaaul?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222022 - 11?\nAnswer: -222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 87*u**3\/4 + 451*u**2\/2 - 607*u\/4 - 11\/2 = 0.\nAnswer: -11, -1\/29, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 6.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -10) + 7\/(49\/(-14)). Let m be (-1)\/((-9)\/24)*54\/t. What is the greatest common divisor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, and 2 e when four letters picked without replacement from eaeememlmeembbme.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z + 83980 + 282771 = -48269. What are the prime factors of z?\nAnswer: 2, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.06 * 0.37.\nAnswer: 5.9422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 + x - 4. Let o(n) = 4*n**2 - 4. Let k(t) = -4*o(t) + 5*y(t). Let v be k(3). Find z such that -2*z - 5*z**2 - 2*z**2 - z**v = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - -0.3. Let p = 4\/5 - 1. Let c = -0.23 - -0.53. Sort b, c, p.\nAnswer: p, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from zezuzzezdzde.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 = -36*l - 15*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71688033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6883, -6773, -6663?\n\"Answer: 110*c - 6993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6 + 7*n**2 - 2 + 7 - 15*n**2 + 6*n**2. Determine z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119678 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + -1 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -12.42 (c) 25211 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5 + (-7 + 0 + 2)*(-1 + 6 - 3))*(2*p**4 + 3*p**4 - 4*p**4)*(-34*p - 4 - 6 + 32*p) + 0*p**3 + 0*p**3 + p**5.\nAnswer: 25*p**5 + 120*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4124022 (base 5) to base 8\nAnswer: 203473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/12)\/a**8)\/(a**7\/a**13) assuming a is positive.\nAnswer: a**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in 1, -22, 6, 0.2, -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, -495, 5, -58 in descending order.\nAnswer: 17, 5, -5, -58, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40894 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/7)\/(1\/7). Sort 49, -3, f.\nAnswer: f, -3, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144475039?\nAnswer: 47, 3073937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-7) + 5694\/(-546). Which is the nearest to r? (a) 0 (b) -1\/6 (c) -2\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3 = -t - 6*j, -4*t + 5*j + 40 = 0. Suppose 19*k - 16*k - 52 = -2*n, -t*k + 3*n = -55. What is the remainder when k is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3072\/(-72)*3\/(-54)*-27.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/8 - 3\/(-6). Suppose -u = -0 - m. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**(-7\/8)\/m)\/m*m)\/m)\/m**8 assuming m is positive.\nAnswer: m**(-71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 36*v - 185. Determine h(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/(-3))\/(-77) + (-279272)\/(-44) + 0 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - (-11 - (7 - 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.4 - -15.6. Let o = r - 83. Put o, -0.2, -2\/7, -4 in descending order.\nAnswer: o, -0.2, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1100*i + 103343. Determine v(-94).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.017 (b) 2\/7 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -1467 + 1458 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - -53144.\nAnswer: 53144.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3\/2)*f*f**6\/f)**(-9\/8)*f**(-6)*((f\/(f**(2\/9)*f))\/f)\/f*(f**(-2\/3))**(-44\/5) assuming f is positive.\nAnswer: f**(-6151\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 + 309. Let k = c + -58. Suppose -4*s + k = -47. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -4 + (0 - (2 + -2)). Suppose 0 = -5*l - 10, 4*l - 4 = -5*i + 3. Solve -4*m + i*m = -v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34514958 to the nearest integer?\nAnswer: 5875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3, -1, 1, -92, 4?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from hyohchohco.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 + 10*q**2 - 4.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 590248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0.3 (b) 2\/19 (c) -2.2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**14*t**(-13)\/t**(-4) assuming t is positive.\nAnswer: t**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -16.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 121006 (base 7) to base 9\nAnswer: 33107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 12120?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 798081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1204067, 1203518, 1202981, 1202462, 1201967, 1201502?\n\"Answer: u**3 - 556*u + 1204622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 22.485057.\nAnswer: -8.9940228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 9*a + 2. Let q(x) = -2*x + 2. Let t be q(-2). What is the tens digit of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216851?\nAnswer: 216851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*49\/42 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139554*q**2 - 153933*q.\nAnswer: 279108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -4, 14 in descending order.\nAnswer: 14, -4, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 212 = 12*b + m, -3*b - 5*m + 200 = 0. Suppose 7*w = -b + 413. Let o(q) = q**3 - 9*q**2 + q + 8. What is the remainder when w is divided by o(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*j + 248484 = -20691. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000012021 (base 3) to base 12.\nAnswer: -255237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (4 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccnnccnccncn. What is prob of picking 1 n and 3 c?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*y + 0 + 1\/3*y**2.\nAnswer: y*(y + 315)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176780190 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.7 (b) -3\/7 (c) -1\/141 (d) 0.3 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506485205?\nAnswer: 3, 5, 19, 379, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 12*f + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 501, 1, 3 in increasing order.\nAnswer: 0, 1, 3, 16, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (68\/51)\/(4\/1518). Suppose 0*d + 187 = d + 3*z, 0 = 3*d - 2*z - v. Let k = d - 101. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 - 5 = 0. Let m = 4711 - 4665. Suppose 3*p + 75 = 5*s, -n*p + m = 5*s - 3*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from ywlaaiybi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5713421007 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkkqqkkqq. What is prob of sequence qq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u - 3. Let h(o) = 19*o + 5. Let m(d) = -3*h(d) - 5*v(d). Let y be m(-1). Suppose 11 + y = 3*q. What is the greatest common divisor of 48 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + (7 - 13) + -12 - 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 33. Let u = 21 - t. Suppose -u*p - z + 1788 = 0, z - 535 - 358 = -p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {y: 1, w: 1, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 13. Let i(d) = -4*d - 13. What is 2*i(b) - 3*p(b)?\nAnswer: b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -250951000 to the nearest ten thousand.\nAnswer: -250950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -6, 38, 108, 210?\n\"Answer: a**3 + 4*a**2 + 5*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1692 - l**3 - 1686 + l + 3398 to the form x + f*l**3 + t*l**2 + h*l and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.95 + 3.186. Let r = u + -0.23548. What is r rounded to 5 dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 0, 77625, -5 in increasing order.\nAnswer: -5, -0.9, 0, 77625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5339, -5950, -6561, -7172?\nAnswer: -7783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141610 and 390?\nAnswer: 5522790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -762\/5*i**5 + 65019\/4*i**4 - 1778112*i - 635292*i**3 + 267 + 1\/2*i**6 + 1809864*i**2. Factor z(w).\nAnswer: 3*(w - 84)**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1974*d + 189. Let q(b) = -21*b - 2. Let s(k) = -2*m(k) - 189*q(k). Let r(g) = -2*g. Determine r(s(p)).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 135887040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*u = -92*u + 5. Suppose u*h = -9*h + 42. Let c be 26\/6 + h\/(9\/2). Let z(d) = -d + 4. Give z(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0117 + -0.809\nAnswer: -0.7973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/7 (b) -79 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1503, 2?\nAnswer: 1503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**5 - 5755*j**4 + 34410*j**3 - 68750*j**2 + 57265*j - 17175 = 0. Calculate j.\nAnswer: 1, 3, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 682715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 + 4*q + 3. Let f be v(-2). Suppose 6 = f*s - 0. Suppose s*o + 412 = 6*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3710 is divided by 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 1820?\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7221\/16432 - 2\/1027. Let h = -83\/80 + s. Let u = 3763 + -3766. Which is the second biggest value? (a) -0.2 (b) h (c) -1\/6 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:10 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*o**2 + 3 - 6 - 1 wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3260141 is divided by 5853?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49726 or 49724?\nAnswer: 49726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 126, 238, 340, 426, 490?\n\"Answer: -l**3 + l**2 + 116*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 17 = -8*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 35*k**2 - 3611*k - 10511. Calculate u(106).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -86*j - 843. Determine f(-12).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(539) - sqrt(539) - (sqrt(110) + sqrt(110) + sqrt(110)*-1 + sqrt(110) + sqrt(110))\/sqrt(10).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -52. Calculate the common denominator of 14\/9 and (-100)\/9*u*6\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -70?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 20*n**2 - 5*n + 79. What are the prime factors of c(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y**5\/19 + 33324*y**4\/19 - 15478904*y**3\/19 + 51330064*y**2\/19 - 47841024*y\/19 + 13660416\/19 = 0.\nAnswer: 2\/3, 2, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-5)\/(-690))\/((-2)\/(-8)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 4*o**2 - 5*o**2)*(-2 - 3*o + 2) + (4*o**2 + 4*o**2 - 6*o**2)*(3*o + 2*o - o) - 3*o**2 + 3*o**2 + o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 3.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 17*w**4\/24 - 13*w**3\/2 - 164*w**2. What is the remainder when 44 is divided by j(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 7*n**2 + 7*n + 4. Let y be o(8). What is the units digit of (112\/(-42))\/(y\/138)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 7*y - 6. Let n be b(-5). Suppose -4*f = -8 - n. Solve 5*a = 5*d, -f*a = d - 7*a + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*c - 14 - 43, 0 = 5*c - 25. Let a be ((-9)\/54*-18)\/(6\/n). Let z(i) = -i**3 + 2*i**2 + 5*i + 1. Give z(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/17 (c) 0.069 (d) -274\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:55 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 294*t + 2. Let r(p) = 153820*p. What is i(r(q))?\nAnswer: 45223080*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12366, -12415, -12496, -12609, -12754?\n\"Answer: -16*v**2 - v - 12349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5743 + 72?\nAnswer: -56a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 57, 63, 53, 21, -39, -133, -267?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**2*w**3 - 15*g*w**3 - 697*w**3 with respect to g.\nAnswer: -8*g*w**3 - 15*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -o - 3*o + 3*l, 3*o + l = 17. Let s = 6 - o. Is 2\/((-1)\/s) + 29 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(171) + (sqrt(190)\/(sqrt(30)\/sqrt(3)))**2 + sqrt(19).\nAnswer: -5*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578987 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + -34b71a9?\nAnswer: -34b7184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*m + 150*m = -40. What is the third derivative of 175*v**4 + 146*v**4 + 74*v**2 - 376*v**m wrt v?\nAnswer: -1320*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 5 + t**3 - t - 5. Let r be p(-2). Suppose -29 = -r*b - 5. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 5*i + 2 - 4*i**2 - 1 - 6. What are the prime factors of c(4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 60\/(17 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8174, 32844, 74012, 131678, 205842, 296504?\n\"Answer: 8249*z**2 - 77*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 2 + 3 - 4. Let m be t(-4). Suppose -7 = 14*n - 8 + 1. Solve -f - m + 4 = n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1394 by 136.\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13865882 is divided by 729783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156749813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43664 divided by -1\nAnswer: -43664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/59319 and -163\/9126.\nAnswer: 118638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/60)\/(0 - -3). Let l = 1596 + -145234\/91. Which is the closest to -1\/3? (a) l (b) o (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82918709*g**3*r - 35777605*g**3 wrt r.\nAnswer: 82918709*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by 3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d + 6. Let y be q(2). Let z = 7 + y. Let h be 2 + z\/((-45)\/49990). Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229059307?\nAnswer: 19, 1597, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 10*c**2 + 12*c - 10. Calculate o(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 6214108*p**2 - p + 6214108.\nAnswer: (p - 6214108)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3015.05nm?\nAnswer: 0.00000000301505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*m**3 + 22*m**3 + 96*m**3.\nAnswer: 162*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 4*u**2 + 3*u + 3. Determine t(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38326058?\nAnswer: 2, 17, 97, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26354*f**2*s + 312712041*f**2 + 321*f*s wrt s?\nAnswer: -26354*f**2 + 321*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**2 + 6*o**3 - 44*o**3 + 19*o**3 + 7*o**3 + 26*o wrt o.\nAnswer: -72*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 18. Suppose -4*s + 100 = -4*w, -c*s - 2*w = -5*w - 97. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*y**3 + 3*y**3 + y**3 - 5*y**3 + (y + 3*y - 2*y)*(3*y**2 + 2*y**2 - 6*y**2).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -988 + 1000. Solve -2*x + 4*f = -o, -x = -6*x - f + 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - 236. Let f = l - -553. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67? (a) 74 (b) -0.1 (c) 5 (d) 0.08 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 18. Determine x(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4058 = b + 1105, -5*b + 14765 = 3*o. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 - (1 + 3)) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 17*y - 32. Let i be 2\/7 - ((-10)\/14 + y). Solve 11 + i = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.25 - -35. Let k = -0.25 - h. Let s = 10 - k. Which is the closest to 0.1? (a) -1 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 10:41 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72787843\/2514 - -28953. Do -1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3496, 6, -2 in decreasing order.\nAnswer: 6, -2, -3496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4 + 1972770*c**3 + 324298727475*c**2 - 6486763681500*c = 0.\nAnswer: -328805, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h**3 + 1\/4*h**4 + 0*h - 1\/12*h**6 - 6*h**2 + 0 + 0*h**5. Find the second derivative of n(i) wrt i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2)*(-32 - -36) - 26\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g = -60*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 7. Let b be m(3). Suppose 9*o - 3 = -b*f + 4*o, 4*o + 8 = 2*f. Let i(z) = 4*z**2 + 0*z**2 - f*z**2 - 4*z**2. Let w(k) = 2*k. What is i(w(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (31 - -1) + 660\/(-132). Solve 96 = -3*p + c*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62777, 128237, 193695, 259151, 324605?\nAnswer: 390057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*v - 40 = -179*v. Suppose v = p - 2*p. Let j(k) = k**3 + 9*k**2 + 6*k - 2. Determine j(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -346 from -2870866.64.\nAnswer: -2870520.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {v: 1, r: 1, a: 2, i: 2, b: 1, y: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 10 = 0. Suppose 2*t = -v + 2, v + t = -0 + f. Suppose 0 = -5*j + 3*r + 55, v*r = -0*j + j - 4. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3897 or 3340?\nAnswer: 3897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k + 21*k + 157041 - 157041.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1.3 (c) 3 (d) 5\/4 (e) -0.3 (f) -0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d6d8 (base 16) to base 12.\nAnswer: -279b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - v)*(2*v**4 - 2*v**4 - 2*v**4 + (3 + 2*v - 3)*(26*v**2 - 22*v**3 - 26*v**2)).\nAnswer: -92*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 8 + 5 + 2 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -27*s + 9. Let o(f) = -7*f + 2. Let t(j) = -2*b(j) + 9*o(j). Let v be t(-1). What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d - 2*d + 4 - 2 - 4. Suppose 3*n = -4*j + 18 + 29, -5*j = n - 45. Let v(r) = r - 1 - 9*r + r. Determine j*v(h) - 5*a(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7181.\nAnswer: 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -356 + 356. Solve x = -b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a + 2. Let w(n) = -5*n + 9 + 5 - 11. What is 3*g(f) - 2*w(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -16*x + 51. Suppose 5*m = 61 - 21. Let f = -3 + m. Solve f*b - 3 = x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c + -14a?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*(22 - 25). Suppose 0*g + 2*n - 412 = -4*g, -y*g - 4*n = -194. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2857 - 0.0143. What is the nearest to -9 in q, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4\/(-4)*-8. Let h = s - 13. Is 2 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1 minus 25585?\nAnswer: -25562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6354*g**2. Let k be x(-1). Let z = k - 63457\/10. What is the common denominator of z and 380\/(-384) + (-2)\/3?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqii when four letters picked without replacement from iiiiiiiiiqiiiii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/(5\/(-20)). Suppose v*f = f + 10. Suppose -s - 572 = -f*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 420\/26 - (-4)\/(-26). Suppose 0*m - 2*m + 2*a + 48 = 0, 5*a = -5*m + 130. Solve -3*b + m = u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 1. Suppose -x + x = x - 11. Which is the second biggest value? (a) -3\/8 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 427 = 14*c. Suppose -3*b + 66 = -3*l, 0*l + 3*l + 40 = 2*b. Factor -32*j + j**3 - 3*j**2 + c*j + 7*j**2 - b*j.\nAnswer: j*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 345 - 338. Suppose -6*v = -2*v - 48. Suppose -15 = -v*g + x*g. Sort -7, 4, g in ascending order.\nAnswer: -7, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249362 and 14227.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/60)\/3*3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 17. Let a be o(11). Let n = 11 - a. Suppose n*z - 27 = -d, -3*d - 2 = -2*z - 15. Solve -8 - d = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - 28*c - 17. Let w be x(-6). Let s(n) = -3*n + 16. Calculate s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2. Let p(h) = h**2 - 16*h - 8. Let s(v) = 5*m(v) - p(v). Let g be s(-6). Let r = g - 42. Is r <= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.22\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, -5, 754 in decreasing order.\nAnswer: 754, -5, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.108 + -0.108. Let n = 44 - w. Which is the biggest value? (a) -0.3 (b) n (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -14. Let s = 3 + -2.6. Which is the second smallest value? (a) -1\/4 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 155\/15)\/((-3)\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 7, n: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4534 and 20?\nAnswer: 45340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218197021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1178*f + 595*f + 594*f. Let z(i) = 7*i. Determine a(z(r)).\nAnswer: 77*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3. Let i = -47 - -48. What is the nearest to i in -3\/2, n, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17201267159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2308 - -16137\/7. Find the common denominator of -89\/808 and h.\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*g + 23, -3*a - g = 4*g + 16. Suppose -3*z + 6*t = a*t - 108, -4*z + 144 = -t. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -1085*y**5\/12 + 79*y**4\/24 - 14*y**3\/3 - 2*y**2 + 8*y - 12. What is the second derivative of a(g) wrt g?\nAnswer: -10850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 1 + 1)*(-2 + 127*i**3 + 13*i**2 - 19*i**2 - 91*i**3).\nAnswer: 108*i**4 - 18*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 86 = -2*o, -834*x + o - 19 = -835*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (55 - 33)*7\/(-168) and 97\/838?\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.5404\nAnswer: -0.10808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 3.4664?\nAnswer: 1.5336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10 = 120. Differentiate 30*s - a - 5*s + 4*s - 6 with respect to s.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 23 = p, -3*p + 74 = -7*p - 5*q. Let r = p + 57. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.19268324 plus 0.030056?\nAnswer: -1.16262724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o - 7. Does 13 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 6*s**2 - 8*s - 1. Let l(h) = h**2 - 9*h - 4. Calculate the least common multiple of l(11) and r(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3 - 3)*(22*g - 7*g - 50*g).\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6712, 13443, 20174, 26905, 33636?\n\"Answer: 6731*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 92b7ca (base 13) to base 6\nAnswer: 201221043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19245490 + -20238.\nAnswer: 19225252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -6, -765, -2, 162 in decreasing order.\nAnswer: 162, -1, -2, -6, -9, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(3\/(-1 + 4)). Suppose -2*z + 5*z + 2*c = -8, -4*c - 16 = d. What is the units digit of -2*(2 + -3) + z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4830324 and 6?\nAnswer: 4830324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1. Let k(n) = -4*n + 6. Let v(o) = k(o) + 4*p(o). What is the units digit of v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 25, 5 in decreasing order.\nAnswer: 25, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/14)\/((-3)\/4 + (-17)\/(-884)*26).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 614190466 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-520)\/(-39))\/((-12)\/(-10)*(-775)\/(-124)).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -18*w**3 - 222*w**2 - 841*w - 670. Let b(t) = -5*t**3 - 56*t**2 - 210*t - 168. Let p(x) = 22*b(x) - 6*r(x). Determine h so that p(h) = 0.\nAnswer: -3, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -196\/3. Find v such that -x*v + 2\/3 - 2\/3*v**4 + 0*v**2 + 4\/3*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/21)\/(6\/21). Suppose 2*a = -a + y. What is the lowest common multiple of -43 + 33 - (-2 + -9) and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -3*(2 + -1). Calculate the remainder when 61 is divided by (-5)\/(-15) + 62\/y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*(-297)\/(-22). Suppose -7*p - i = -16*p. Solve q + 2 = 0, p*o - o = -2*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 - 6*n - 3. Let g be l(-5). Suppose g*f = 6*f - 600. Suppose -5*b + 19 = -131. What is the greatest common divisor of b and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*p = -26, -3*p = -2*v - 2*p - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.06 - -2.059151. What is k rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4767*m - 325. Is z(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44260013 + -5?\nAnswer: 44260005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 29*h**3 + 27615*h**2 + 6668*h + 3807. What is f(-952)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f - 33*f - 4*f. Let y(w) = 2*w + 2. Let q be y(7). Let d = 2 - q. Sort d, 1, f in ascending order.\nAnswer: d, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c916 (base 13) to base 12.\nAnswer: 14194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -64*(-7 + 13\/2). Let f(t) = -t**3 + 4*t**2 + 4. Let b be f(4). What is the highest common factor of b and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 32 + -17 + 4 + -58 + -3\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/195 + (-1991)\/13 + 1. Let f be (r\/3 + (-2)\/(-3))\/(-2). Suppose 0 = -f*v + 31*v - 30. Solve -v*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36623619900 to the nearest 1000000.\nAnswer: -36624000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 + h + 1. Let b(r) = -6*r**2 + 2*r + 1. Let g(y) = -6*b(y) + 7*u(y). Is g(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*g**2 - 6*g**2 + 5*g**2 + (-2*g + 0*g + g)*(4*g + 3 - 3) + (755 + 106*g - 755)*(2 - 2*g - 2).\nAnswer: -191*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 30628, -0.333, 1\/7 in ascending order.\nAnswer: -0.333, 1\/7, 30628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d - 15. Let f be v(0). Let m be 18\/2*(-230)\/f. Let p be (0 + m)\/(1\/(-5000)). Round p to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*v + 63, -3*v + 2*o + 150 = 58. What is the tens digit of (-264)\/v*10\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w. Calculate the remainder when 58 is divided by -2*(-3 - (7 - w)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(-95))\/((-8094)\/(-1710)).\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 15*c**2 - 15*c - 16. Suppose 52 = -2*j + 24. Determine i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*c**2 - 2 - 312479*c + 2 + 607*c**2 + 312479*c - 1212*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*7\/((-14)\/6). Solve -p*z - 2*z + 19 = 3*i, -2*z - 5*i + 19 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141415 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -121606 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -4\/7, -3, 18, -2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5 - 1030*n + n**2 - 5 + 1031*n. Let r(x) = 3*x**2 + 22*x - 41. Let i(q) = -4*k(q) + r(q). What is the remainder when 158 is divided by i(9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75727 and 27705.\nAnswer: 1135905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 432114.9918 minus 0.08?\nAnswer: 432114.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98186189 is divided by 1505?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 9*q = -4. What is the second biggest value in q, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 8223*b**3 + 16*b**4 + 98*b + 24 + 16*b**4 + 2*b**5 + 152*b**2 - 8115*b**3 = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8302 and 12?\nAnswer: 49812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13049.\nAnswer: 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 7841*a\/3 - 5228.\nAnswer: (a - 15684)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119672 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 210 * 260534\nAnswer: 54712140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -519328 or -520363?\nAnswer: -519328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4862*r = -2174*r - 3457*r - 807961 for r.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -18421.\nAnswer: 73684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -1 - ((-6 - -15) + -3). What is the hundreds digit of (-1 + 745\/(-20))*i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/((-9)\/(45\/(-10))). Let n(c) be the first derivative of -1\/2*c**2 + 0*c - q. Let y(u) = u. Determine n(y(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - 20. Let w = 1231\/14 + c. Let q = 9\/28 + w. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 5*o = 7*k + 32943, 5*k = -2*o + 82314. What is k rounded to the nearest one hundred?\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -71062*j**2 + 6964052*j + 2352 = 0. What is j?\nAnswer: -12\/35531, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-2*sqrt(9)) - sqrt(22)\/(sqrt(22)\/sqrt(2)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**14)**(-40))**(-3\/16))**(-1\/4) assuming c is positive.\nAnswer: c**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -7.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**4\/26 + 2*r**3\/13 - 2*r**2\/13 - 4. Let h(d) = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-1)*((-25)\/20)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Sort 5, x, -2, 44 in descending order.\nAnswer: 44, 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 + 0 = 0. Let r be 1 - (-3 + 2)*s. Suppose 2*o - 3*l = -o - 12, 2*o - 5*l = -17. Put o, r, -3 in descending order.\nAnswer: r, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2. Let o be f(1). Let i = o + 3. Let l be 4\/(-1)*(-30)\/(-300). What is the second smallest value in 2, l, i, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5776.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*j + 4 + 2 - 5.\nAnswer: -125*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99790 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*w = -736, 4*q + 3*w - 2*w - 736 = 0. Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4303269*t - 3477574?\nAnswer: -4303269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156.43 + 155. Let k = g + 1.03. Let r be 13\/15 - (28\/(-10) - -3). Sort k, -4, r in ascending order.\nAnswer: -4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18460 is divided by 17922?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 32. Suppose b + 4*b = 20. Solve p - b*k = -0*p + 4, 4*p + k = -w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 1 = -14*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2583 and 16947.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 157384, -5, 1.2, -1\/5 in ascending order.\nAnswer: -5, -1\/3, -1\/5, 1.2, 157384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193118 is divided by 193107?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 92*w - 907. Give y(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-113 + 7) - (-65 + 83) - 5.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118679, -474289, -1066987, -1896785, -2963695, -4267729, -5808899, -7587217?\nAnswer: -9602695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.12\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2229, -1489, -727, 63, 887?\n\"Answer: y**3 + 5*y**2 + 718*y - 2953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/3370 - -10413\/340370. Let a = -238 + 239. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 12}. What is prob of picking 1 z and 1 b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 - ((-28 - -24 - -11) + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -8. Let k(a) = -a**3 + 11*a**2 - 10*a. Let d be k(h). Solve d = -s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 9*w**4\/4 + 7*w**2\/2 + 2. Let v(n) = -7*n - 4*n**3 - 9*n + 13*n. Let t = 103 + -97. Determine t*p(s) + 14*v(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*c**4 - 2150*c**3 + 32055*c**2 - 20410*c = 0. What is c?\nAnswer: -157, 0, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 - 8*p - 17. Let q(s) = -s**2 - 2*s - 4. Suppose 0*c - 6 = 3*c. Give c*h(b) + 9*q(b).\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 5. Let i(c) = -4*c - 4. Let o be i(-8). Suppose -3*d - d = o. What are the prime factors of u(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17793087?\nAnswer: 3, 13, 456233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/7322744 and 59\/143264.\nAnswer: 322200736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 47. Let c(m) = -8*m - 282. Let k(t) = c(t) + 6*x(t). Let g(z) = -2*z + 72. What is k(g(w))?\nAnswer: -8*w + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let x(t) = t**2 - 10*t - 50. Let h be x(20). Suppose -146*d = -h*d + 16. Solve v = 4*n - i + d*i + 27, -3*n = -4*i - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1075 - 153 + 1353*t + 3696 + 996*t wrt t?\nAnswer: 2349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 2*v**2 - v + 2. Let p be b(2). Suppose -8680*c + 16 = -8688*c. Let t be (c\/(-10)*p)\/(-2). Solve t = 3*u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 431244 and 30.\nAnswer: 2156220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5681*q + 27291 = 891*q - 39723 + 14324 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3479745964?\nAnswer: 2, 869936491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3441*t - 41272. Determine m(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.850529 rounded to two dps?\nAnswer: -27.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18907.3 + 18907. What is the closest to -2 in -5\/3, -116, p?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -34*p + 8. Solve 3*b - 2*i - p = 2*b, b - 8 = 3*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.134979? (a) -3\/2 (b) 5 (c) 0.5 (d) -1 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -684 + 719. Let r(l) = 15*l**2 + 52*l - 121. Is r(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihslllhlhhihhh. Give prob of picking 1 s and 2 i.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 46827097 and 46827099 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(152)*-2*-5)\/(sqrt(64)\/(sqrt(96)\/sqrt(108)))*4*4)**2.\nAnswer: 7782400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08131 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 + 15*q**3 + 16742*q**2 - 16742*q**2 + 0*q**3.\nAnswer: 23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Let u = 540 + -541. What is the closest to q in 1, 1.2, u?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -2.3?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 5:26 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {n: 1, v: 1, g: 1, a: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-65)\/10 + 6)*12. Let d be i\/(-10)*1620\/243. Let y be (-9)\/(-6)*1\/3. What is the second smallest value in d, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.84028km to centimeters.\nAnswer: 3684028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*t = -11 - 291, -2*u + 4*t = -148. Calculate the remainder when 45 is divided by (-40)\/(-6)*351\/u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1331130103 (base 4) to base 15.\nAnswer: -a2391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -30*s - 88 - 125*s - 858*s**2 + 125*s - 58*s. Let b(j) = -49*j**2 - 5*j - 5. Determine 88*b(o) - 5*p(o).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -3. Let y = -0.05 - 11.95. Let j = y - -7. Which is the smallest value? (a) j (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 15312.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 120709285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.0367 - -0.0367. What is the nearest to 0 in -1\/7, 1.6, h, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -11*u**6\/40 - 50*u**5\/3 + 182*u**2 + 3*u. What is the third derivative of x(q) wrt q?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 0, -7, 2 in descending order.\nAnswer: 2, 0, -7, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**6*y\/(y\/y**(-4))*((y\/((y*y*y*y**(2\/5)*y)\/y))\/y)**25 assuming y is positive.\nAnswer: y**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 7. Let k(h) = h**3 - 5*h**2 - 5*h - 4. Let q be k(6). Suppose -q*v - 3*v = -5*x + 5, v = -5*x + 23. Suppose 5*o - x*o = 5. What is d(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*y - 30*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62749080?\nAnswer: 2, 3, 5, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 4*x + o, x + 13 = -4*o. Suppose -7 + 1 = x*m. Let n = 3 - m. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -10\/679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 238624\/(-40) - (-2)\/(-5). Let k be 1\/(-2) + c\/4. Is (2 + -3)\/(4\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**8\/14 - d**4\/6 - 2*d - 2. Let r(m) be the first derivative of j(m). Find the third derivative of r(w) wrt w.\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1300179 + -927538. Let m = -372650.00033 + y. Let s = -9 - m. Round s to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a year in months?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.5467 rounded to 1 dp?\nAnswer: -24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(4\/(-8))\/((-3)\/6). Suppose -3*x = 5*g - 136, -2 = -x - l. What is the remainder when 114 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11224 and -0.26604215?\nAnswer: 11224.26604215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -73, -181, -363, -637, -1021?\n\"Answer: -3*u**3 - 10*u**2 - u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -5.269\nAnswer: 47.421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49682 is divided by 307.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f. Suppose x + 10 = 6*x. Let o(k) = -2*k**x + 91*k - 91*k. Calculate r(o(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -833*a + 1859. What is the hundreds digit of v(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84317? (a) -1\/21 (b) -3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3225\/11 - -293. What is the third smallest value in v, -4, 1.3, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9985777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b - 2\/21*b**7 + 0 + 2\/3*b**3 + 0*b**4 + 0*b**2 + 0*b**5 + 0*b**6. Find the second derivative of p(s) wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178499 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -75. Let p be (305 - 9)\/(h\/(-2)). Let g = p - 678. Round g to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 44\/(-6)) + 3\/(-9). Let c(g) be the first derivative of 1\/5*g**k - 2 + g**2 - 1\/2*g**4 + 0*g**3 - g. Factor c(s).\nAnswer: (s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57307 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67\/126 - -7\/18. Suppose 5*i - 14 + 44 = -5*g, 9 = i - 4*g. Suppose 3*d = 2*r + 17, 3*d + 2*r + 0 = 13. Sort d, i, l.\nAnswer: i, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:03 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1370\/3123 - 2\/347. Put -46, 2, u in decreasing order.\nAnswer: 2, u, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11453\/6 + 1894. Let m = 14270\/4826147 + -4\/5321. Let l = m - -55321\/2721. Calculate the common denominator of l and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -124, -202, -290, -388, -496, -614?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/235 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 - 1)*(-z - 3*z + 6*z) + 5*z + 19*z - 8*z)*(5 - 5 - 4*z**4).\nAnswer: -48*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 96504*i - 289405. Give a(3).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11218280 to the nearest one hundred thousand.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3824682 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60715 = 1678*f - 18151 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -0.12\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(1\/(-3)))\/(45\/135). Solve -4*m + 5*i - n = 0, 5*i - 21 = 36*m - 35*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-9 - (22 - (7 - -1)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**9*(w*w**(-1))**(-1\/14))**(4\/21) assuming w is positive.\nAnswer: w**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28695 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052.038092 rounded to the nearest 10?\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + 23.06. Let h = 11 + i. Let v = -34.57 + h. Round v to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -25\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -29b52004?\nAnswer: 29b52006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.3607 milliseconds in nanoseconds?\nAnswer: 953360700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68032 divided by -14?\nAnswer: 34016\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/5)*a)\/a**(1\/4))\/(a**(-2)\/a)**(1\/10) assuming a is positive.\nAnswer: a**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*j + 1415 = -2*j, 3*j = -3*r - 4245. Let o = r - -2145. What are the prime factors of o?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4965.1 to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2010 = 2*l, 396*m + 5 = 395*m. Calculate the remainder when l is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**3 + 2*c**2 + 4. Let o(f) = 6172215*f + 5*f**3 - 2*f**2 - 6172215*f - 3. Suppose 2*w + 8 = -0*w. What is w*o(v) - 3*d(v)?\nAnswer: -2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -5. Calculate the common denominator of (124\/h)\/(25\/15) and 0 + 1 - 125\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 6*i**2 + 2. What is x(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - 28 - (44 + -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*52\/91*(-231)\/198?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*x**2 + l**3 - 32*l**2*v*x**2 - 28*l*v*x + 2*l + 6*x**2 wrt l?\nAnswer: 12*l*x**2 + 6*l - 64*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 47. Give s(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1460*l**3 + 5874*l**3 - 3906*l**3.\nAnswer: 508*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 - 5*d - 4. Let k be u(-3). Let r be -5 + 3 + 4\/k. Suppose r*h - 4*h = b - 37, b = -2*h + 33. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(72)\/sqrt(3) + sqrt(24))*-1)\/(sqrt(40)\/sqrt(20)) + 2.\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -347*d + 352*d + 51*j - 184, 0 = -2*d - 4*j + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2456.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14.8 in 2\/5, 0, -2.5, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t + 113*t - 18939 = 49*t for t.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5475150339 and 2417.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*p - 4 = -2, -4*p = -n + 6. Find the common denominator of 3*n\/(-3) + (-54)\/(-174) and -7\/5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2821 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 = 90*c - 112*c - 84 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 23914*j**2 + 430128*j.\nAnswer: j*(j + 18)*(j + 23896)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24590\/11 + 2237. Calculate the common denominator of (27\/1 - (-68 + 87)) + (-71)\/10 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c. Let d(w) = 14*w + 28507. Calculate u(d(s)).\nAnswer: -42*s - 85521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 55\/1132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27038.98 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 14. Suppose -20 = m*n, 3*y + 2*n = 2 + 5. Let g(i) = -2*i - 3. Let o(s) = 2 + 2*s + 3 - 1. Give y*g(f) + 4*o(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 988022.4 decades in centuries?\nAnswer: 98802.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 30*r**2 - 2*r - 1037. Give n(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 51. Let q(g) = 2*g**2. Let n be q(-2). Let i(r) = -r**3 + 7*r**2 + 9*r - 5. Let w be i(n). Which is the nearest to -3\/5? (a) t (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4\/2 - 43323*y**3\/2 + 15164301*y**2\/2 - 45189597*y\/2 + 15034311 = 0. What is y?\nAnswer: -14783, 1, 2, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88*m**2*w**2 - 2*m*o**2*w + 258*m - 5*o**2*w**2 - 12048*o**2 wrt m.\nAnswer: 176*m*w**2 - 2*o**2*w + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1838*j + 479. Is g(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 - 2 = 0. Let z = i - -12. Let n(p) = 703*p - 12651. Let w be n(18). Solve b = w*b + z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 221*d**2 + 748*d + 2982. Calculate o(-4).\nAnswer: 3526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9695*l - 1289373. What is s(133)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -21*i + 2. Let g be r(1). Let h = 41 + g. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -4*x**4 - x**3\/3 + 18*x**2 - 11*x + 200. What is the second derivative of v(f) wrt f?\nAnswer: -96*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 187521199?\nAnswer: 187521199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06436 and -4.1.\nAnswer: -4.16436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35605*f**4 - 16*f**2 - 71 wrt f.\nAnswer: -854520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -94*a**2 + 77*a - 468. Let k(u) = -19*u**2 + 15*u - 94. Let t(h) = -11*k(h) + 2*w(h). What is the first derivative of t(y) wrt y?\nAnswer: 42*y - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/127 or 1?\nAnswer: 3\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 275*p + 586. Calculate the remainder when 185 is divided by u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q - 3\/2*q**4 - 3*q**2 + 8 + 0*q**3. What is the second derivative of l(t) wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 801120 and 14488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/4 - 36765*g**3 + 3972303*g**2\/4 - 6180069*g - 7209909 = 0.\nAnswer: -49047, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 116675*-1017\nAnswer: -118658475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/10)\/((-4)\/(-10)). Sort 0, x, -3.\nAnswer: -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2 + 5 + 30*d**3.\nAnswer: 30*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 53030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w + 0*w)*(-2 - 3*w + 5 - 2).\nAnswer: -6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 4*m**2 - 3*m - 4*m**2 in the form t*m + g + i*m**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 242970 divided by 1869\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z - 15. Suppose 7 = -5*x - 23. Let y(h) be the first derivative of h**2 - 7*h + 1689. Give x*g(i) + 13*y(i).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 272333087 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20835 and 60?\nAnswer: 83340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -241, -235, -227, -217, -205, -191?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**2*j**3 - 7604*h**2*j*l + 2*h*j**3*l + 108*h*j*l - 9*j**3 + 3*j*l - 8 wrt h?\nAnswer: 8*j**3 - 15208*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50702 and 2510.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 2*d**2 - 8*d + 5. Suppose -4*t = -3*r + 37, 3*r - t = 2*t + 33. Is k(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(50)*-2))\/(sqrt(150) - 4*(sqrt(150) - (sqrt(150)*-3 - sqrt(150)))).\nAnswer: sqrt(3)\/950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -54*u**5 + 486*u**4 - 1314*u**3 + 1010*u**2 - 304*u + 32 = 0.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11))**(-15)\/(i**17\/i**(-7\/6)) assuming i is positive.\nAnswer: i**(-1379\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22068 and 22068.\nAnswer: 22068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54999, -54991, -54969, -54927, -54859, -54759, -54621, -54439?\nAnswer: -54207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-18) + (-19)\/((-342)\/320).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -355 - 16441?\nAnswer: -16796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91, -109, -127?\n\"Answer: -18*i - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - x**2 + 10*x - 7. Let d be h(-5). Suppose d = 2*t + 35. Suppose 4*q - 24 = -t*g, 3*g - 4*g + 9 = 4*q. Solve 0 = a - q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7950*z**3 + 15907*z**3 - 7954*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 39*n - 67. Determine i(5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o - 1. Let s be j(-1). Let x = 10 + s. Solve x*g + g = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/12)\/((-2)\/3). Let a = -30 + 36. Is 16 a factor of -96*f\/(a\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -1 - (-9272)\/(-732).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-245)\/14) + 2 + 2 + -6.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13*(-12)\/4*46\/3. Calculate the highest common factor of 46 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -976.4, 6, 3 in increasing order.\nAnswer: -976.4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 411470507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18571 and 0.4.\nAnswer: 0.21429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 71 (c) 1\/3 (d) 0 (e) 1\/5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 12*q + 3. Suppose -286*c + 278*c = -208. Calculate the lowest common multiple of c and v(-13).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (296\/(-2220) - 18868\/(-210)) + (-10)\/(-35)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2784 and 144.\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3647.8115626085.\nAnswer: -3648.8115626085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and 11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o = 74*o - 88*o - 1050 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66406 is divided by 141.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from ivyvzvvvjj.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1. Let y be (-4)\/(-6)*(0 - 3). Let t(d) = d**2 + 1 - 2 - 1 + 3. Give y*t(c) + 2*h(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-7))**29*t**17*t**5 assuming t is positive.\nAnswer: t**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 + 7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 276.4521 millennia?\nAnswer: 2764.521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110141 + -2?\nAnswer: -110143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/13)*y**4\/y)**(15\/4) assuming y is positive.\nAnswer: y**(555\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*m - 4539, -4*m + 4*y + 0*y = -3620. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169.7568nm to millimeters.\nAnswer: 0.0001697568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 34646964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 350*171727\nAnswer: 60104450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4 = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 + 506*n**2 + 242*n - 1281. Determine u(-126).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2886234, -11545446, -25977466, -46182294, -72159930, -103910374, -141433626?\n\"Answer: -2886404*x**2 + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + 6. Suppose -b*t + 56 = -20*t. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tas when three letters picked without replacement from {t: 1, a: 4, l: 6, s: 6, e: 1}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12391.9 - -11710. Let s = 651 + u. Round s to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 132. Is l smaller than 26\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 10, 4, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:50 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3447782 greater than -3447781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = -1. Let i be -12*(o\/(-6) - 0). Suppose 5*s - 230 = -3*q, -3*q + i*s - s + 246 = 0. What is the highest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27b22 + -5?\nAnswer: -27b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*o + 745*o - 4*o**3 - 21 - 376*o.\nAnswer: -4*o**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 156270\nAnswer: -15627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5943, -5153, -3837, -1995, 373?\nAnswer: 3267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 72*j + 584. Calculate m(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w*z**3 + 48*w*z + 3*w - 4*z**2 - 2*z wrt z?\nAnswer: -30*w*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30220, 120868, 271948, 483460, 755404, 1087780, 1480588?\n\"Answer: 30216*a**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 1 + (-2 - 1 + 1)*(-4 + 1 + 2))*(2*u**3 - 5*u**3 + 4*u**3) in the form f*u**2 + t*u**3 + n*u + p and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5285841*1.14\nAnswer: -6025858.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -402?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*f**6 - 4*f**2 - 3*f**6 - f**6 wrt f.\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + j + 1. Let g be 6*(-1)\/((-6)\/3). Suppose -u + 10 = g. What is the lowest common multiple of c(2) and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-26 + 15*u + 26)*(-8 + 13 + 11) as p*u + t and give p.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (-6 - (3 + -11) - -6) + 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1\/10 - 0). Calculate the least common multiple of 30 and (1 + r\/4)*(3 + -9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 1, -7*h = -11*h - 5*f + 5. Let d = -3 - -6. Which is the nearest to h? (a) 1.9 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -0.3, -0.02, 0.05 in ascending order.\nAnswer: -5, -3, -0.3, -0.02, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12316 + -8116. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2853473159.\nAnswer: 1319, 2163361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713180527?\nAnswer: 23, 41, 756289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3415775 to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2. Suppose 3*h + 3 = -0*h. Let f be p(h). Suppose b + 4*a - 15 = f, 15 = -b - 2*b + 3*a. Put 0.1, 7, b in decreasing order.\nAnswer: 7, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.79 in 2, 0.1022, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let r be 1\/(-1) - 51\/42. Let n = r + 39\/14. Is n > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -28. Let x(z) = z**2 + 10*z - 2. Let k be x(-10). Let r be (5 + -8)*k\/14. Which is the smallest value? (a) n (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + 4\/(-7 + 3)*-21. Solve -r*b - 2 + 24 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/169*-6)\/(522\/(-4524))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441746, -883494, -1325242, -1766990, -2208738?\nAnswer: -2650486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/6 - 61371*f**2\/2 - 368235*f\/2 - 552357\/2 = 0.\nAnswer: -3, 184119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -529*q + 545*q - 80 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l - 387*l = 79*l - 8130 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143967412, 143967414, 143967416, 143967418?\nAnswer: 143967420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12*j**3 + 4*j**2 - 2*j + 4. Suppose -1104 = 226*q - 3590. Let v(l) = 35*l**3 + 11*l**2 - 5*l + 11. Calculate q*w(m) - 4*v(m).\nAnswer: -8*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = 5. Solve -10 = -2*v - 2*q + 5*q, q + 8 = -b*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22442294 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -6\/37, -1.03, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -519 - -3639\/7. Let w = -2.09 - -0.23. Let g = w - 0.14. Which is the nearest to 0? (a) k (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 27.61?\nAnswer: -30.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1756 + -6?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1151?\nAnswer: -1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 - 10*m - 2. Let g = 78 - 82. Give f(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 34 + -1 + 141 + -150\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 a factor of 369599912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95869, 95804, 95739, 95674, 95609, 95544?\nAnswer: 95479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 2:13 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13396 and 21148.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -11. Suppose 2*o + 4*j = -20, 3*j + 23 = -o + a. Let y = o + 15. Solve 5 = -5*g - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 5*y + 2. Let z(j) = -2 - 2*j + 2*j + j - 2. Let g be z(0). Let p be m(g). Which is the smallest value? (a) -5 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 5*j**4\/6 - 41*j. Let n(c) = -2*c + 5*c - c. Calculate n(b(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v + 1718 + 722 = 0. Let x = 4 - 33. Let r = v + x. What is the remainder when 219 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/570)\/(99\/90) + 53\/2508?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 788541?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 11*t**2 + 13*t**2 - 25*t**2 + 10*t**2 - 20*t**2 + 19*t.\nAnswer: -11*t**2 + 19*t - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spkp when four letters picked without replacement from pppykpppypppys.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 897.9.\nAnswer: -1526.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 57, -2, -4 in decreasing order.\nAnswer: 57, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.6132 - -0.4188. Round d to 1 dp.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:04 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m. Let f be j(-2). Find the common denominator of (143\/(-154))\/(2\/f) and -29\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413222 (base 10) in base 14?\nAnswer: aa83c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.5 + -11.5. Let x = 377\/5 + -75. Sort -1\/2, x, j in increasing order.\nAnswer: -1\/2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 0*a**2 + 3*a**2 + 88*a**3.\nAnswer: 88*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*c - 2 = -4*k, -c = 2*k + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3, 2\/3, 11\/3, -1 in increasing order.\nAnswer: -20, -1, 2\/3, 3, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i, 3*f = -3*i + 15. Let s = 0.1 + -4.1. Put s, -2\/3, f in decreasing order.\nAnswer: f, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -305*m**3 + 685*m**2 - 455*m + 75 = 0. Calculate m.\nAnswer: 15\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276 divided by 952?\nAnswer: 319\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 43. Let m be g(0). Let t = m + -27. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8455190*w**3 + 7292*w - 1270 wrt w.\nAnswer: -50731140*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*b + 3*b**3 - 307*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 2*h + 3. Let s(p) = -p. Let u(m) = c(m) - 5*s(m). Let y be u(4). Let i(b) = -14*b. What is the remainder when i(y) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/43 - (-48 - -47).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(-1*sqrt(5) - sqrt(5)) + 1)**2 + sqrt(112)*-6)*-2.\nAnswer: -11\/2 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y + n, n - 3 + 2 = 4*y. Let v(u) = 2*u**2 + 21*u - 11. Let t be v(-11). Let z be (t - (-4)\/18)\/((-6)\/(-9)). Sort -4, y, z in ascending order.\nAnswer: -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990503 divided by -990503.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234 + -53. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/93 + 109\/744. Suppose 24*b + 41 = 23*b. Let k = 247\/6 + b. Put k, 9, z in ascending order.\nAnswer: z, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19082997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -6*k - 1 - 1\/4*k**4 + 4\/3*k**3 + 7\/2*k**2. Suppose 4*w - 15 = w. Give p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -62*m**3 - m**2 - 5*m - 6. Let o(k) = -4*k - 82. Let p be o(-20). Is 16 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1118 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 401408 and 882?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 5:26 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzjyyzjyzszzz. Give prob of picking 1 y and 2 j.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*n - 33891 = -403*n + 307*n + 686*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 1494 - 3456 = 0. Is 27 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-2\/29))**(-2\/149)*(k**16)**(4\/7))**(4\/17) assuming k is positive.\nAnswer: k**(1102816\/514199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/655 and -21\/3406?\nAnswer: 17030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 19*w = -168543. Let p = -8916 + w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232579 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -246\/19?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*j - 175*j = -151*j - 1296 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20.1, 273, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 0.12524.\nAnswer: 0.17476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = 15*j + 420. Let x be (j\/(-18))\/(4\/30). Let q(v) = 12*v - 5. Let c(h) = 119*h - 49. Calculate x*c(p) - 49*q(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 94\/30 - 12\/(-15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 435978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 611 (base 8) to base 15\nAnswer: 1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.1 - 7.4. What is the closest to 1 in -4\/3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/(d*d*d**1))))**1\/(d*d*d**0*(d**2*d)\/d*d*d) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*s - 5, -3*p = 3*s + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-24))\/(3\/(-2))*1388. Let v = -388 - w. List the prime factors of (-2)\/(-4) + v\/4.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*m + 13*m. Let r = 10.3 - 10. What is the nearest to -0.4 in -0.5, r, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -9.132.\nAnswer: -136.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(17)))**2 + (sqrt(2057) - 2*sqrt(2057))**2.\nAnswer: 4*sqrt(17) + 2078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Suppose 0 = -c + q + 7, 0 = 3*c + 5*q - 57 + y. What is the remainder when 20 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from wnwawwanw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778327000 rounded to the nearest 1000000?\nAnswer: 2778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3408*x**2 + 1705*x**2 + 1702*x**2. Let o(u) = -u - 4. What is c(o(t))?\nAnswer: -t**2 - 8*t - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8416*h - 4025*h - 487401 for h.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12622 and 20?\nAnswer: 126220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2300\/3 + 767. Which is the nearest to 0? (a) 3 (b) w (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 5 - 14 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/6 - 4*j. Let q be x(-5). Suppose 3*k - 32 = -2*a, 2*k - a - 16 = -q*a. What is the highest common factor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 292 + -292. Let i = -0.3 - -0.4. Let o be (-1)\/3 + 1 + -1. Which is the closest to i? (a) k (b) o (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1372004 and -83\/2272.\nAnswer: 10976032","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -39?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63194 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 4 = 3*b - 16*d, b = 3*d + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*u + 1005 = 2*u, 0 = k - 4*u - 223. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7415 + 9610 = -1376*v - 1593*v - 57200 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 6 (c) 0.501 (d) -1\/7 (e) 4 (f) 270\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467661?\nAnswer: 3, 155887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/5, 0.5, 2\/3, -743, -0.073?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24335817477.296 and -1.\nAnswer: 24335817476.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (-5 + (sqrt(1331)*-2 - sqrt(1331)) + 4 + 4*(sqrt(1331) + -1)*5)*6))**2.\nAnswer: -7349100*sqrt(11) + 346622125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1 = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12023, -23396, -34141, -44252, -53723, -62548, -70721?\nAnswer: -78236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 384688248 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*b + 23, b = 5*c - 6 + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 17. Suppose 0 = -f - 2*f + m - 28, f = 4*m - 24. Let j = f + g. Solve j*a = 2*y + 15, -3*a + 9 = y + a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500*h**2 - 1467*h**2 + 4486*h**2 - 1503*h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 286279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2 + 1234874724*n - 127076298664506348 = 0.\nAnswer: 205812454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -4. Calculate the common denominator of (-658)\/1260 + (-2)\/(-9) and g + 0 + 77\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36980880 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 14. Let w be j(-12). What is the least common multiple of w\/(-12) - (-11)\/6 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 417 = -333. Let a(c) = 3*c - 10. What is a(g)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-14)\/v)\/v)**(-5\/2)*v**(-11)*v**(-15\/7))**(-3\/10) assuming v is positive.\nAnswer: v**(-282\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12120640?\nAnswer: 2, 5, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15224941 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 25 = -17. Solve -2*i = -d + 5, -2*i + 10 = l*d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-5)\/734). Let f = h + 73. Let j = 113 - 1693\/15. What is the nearest to 0.1 in -4\/5, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122012102010 (base 3) in base 5?\nAnswer: -41313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0 - 2*s + 379*s**2 + 2 - 4. Let m be y(2). Suppose 3*o + 4*d = 995 - 103, 5*o - m = 5*d. Round o to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {p: 4, w: 1, m: 2, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 108*g - 5653. Calculate z(16).\nAnswer: -3925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7550\/27 - -10037\/36. What is the common denominator of -163\/132 and y?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*v + 2143*v = 3133 - 102640 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczz. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 3562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1674355 nanometers to centimeters.\nAnswer: 0.00000001674355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361486.\nAnswer: 2, 61, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 43*u - 250. Calculate the least common multiple of 77 and i(-6).\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-2)\/(-1) + 4. Let c be 2\/(-6) + 26\/s. Solve -4*i = -6*m + 2*m - c, -m - 10 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -671*k + 673*k - 23*z, -4*k - 18*z - 49 = 3*z for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58133 = 2*t + 15*t - 175413. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - (-13)\/(-3). Let o be (-2)\/((-36)\/(-42)) - 4\/6. Put n, -2, o in descending order.\nAnswer: -2, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -717, -4, 2, 23, 5, 1, 183 in increasing order.\nAnswer: -717, -4, 1, 2, 5, 23, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -666, -1, -5 in ascending order.\nAnswer: -666, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -20. Is (-4)\/g*-670*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -2*k**7\/105 - k**6\/5 + 8*k**5\/5 - 13*k**4\/3 + 6*k**3 - 12*k**2 + 1. Suppose y(s) = 0. What is s?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmqqakqgq. Give prob of sequence qkmq.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + y = -1, -3*m + 0*m + 3*y = -15. Suppose -m*p + 3 = -3*b + 43, p - 4 = 0. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (-4 - (-4 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 + 368*n**4 + 359172*n**3 + 714944*n**2 - 1794256*n - 2150400 = 0. What is n?\nAnswer: -256, -3, -1, 2, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12430 and 2964998.\nAnswer: 2977428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5840 smaller than -5840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 51. Is (-4)\/(-5) - (l + 69366\/(-30)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5646 - 2.7. What is z rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142238947*d**2 - 597*d + 418591?\nAnswer: -284477894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.42 + 1.98. Let d = -2.1 + n. Suppose 0 = -5*t + 2*t - 9. What is the closest to -1\/2 in t, -1\/7, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -225*f**4 - 16590*f**3 - 303589*f**2 + 81844*f - 5476 = 0. What is f?\nAnswer: -37, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*y**5 + 0*y**2 + 3\/5*y**3 + 0 + 0*y + 0*y**4 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253114 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1654400 >= -1654400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) 0.302 (c) 271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, and 2 k when four letters picked without replacement from faqfakffqafqqfqkqef?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 9:58 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -12. Let z = 24 - g. Suppose 12*t - z*t = -985000. What is t rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p**2 + 61*p**3 + 0*p**2 + 41*p**2.\nAnswer: 61*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-84)\/15)\/(((-6)\/5)\/6). Suppose r = 13*t + 2. Solve 5*j - 5*a = 5, -t*a - 14 = j + 2*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) + sqrt(2057) + sqrt(2057) + -1 + sqrt(2057))*5 + sqrt(2057) - (4 + sqrt(2057)*3)) + -1)**2.\nAnswer: -3960*sqrt(17) + 666568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 1, t: 1, j: 2, d: 2}. What is prob of sequence ddj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 267\/356*((-15)\/70)\/((-9)\/4)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16070.14 and -82.\nAnswer: 1317751.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -526*n**4 - n**3 + n**3 + 2836*n**4 - 21 + 1219*n**4 wrt n?\nAnswer: 14116*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Suppose 4*m - 2 = 2. Suppose -o*s - m = -41. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -84*r + 93*r. Which is the fourth biggest value? (a) -4 (b) -2\/7 (c) r (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000601512 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18516*h**2 - 3091*h - 44. Let d(v) = 3703*v**2 + 618*v + 8. Let i(s) = -11*d(s) - 2*y(s). Find the second derivative of i(c) wrt c.\nAnswer: -7402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 4*n + 6. Let a(j) = -12*j**2 + 10*j + 5. Let s(q) = -26*q**2 + 23*q + 12. Let i(t) = -11*a(t) + 5*s(t). Determine 5*i(y) - 4*u(y).\nAnswer: -2*y**2 + 9*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 8, h: 11}. Give prob of sequence ah.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 6:40 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 11*h - 4. Let j(t) = -10*t - 3. Let a(k) = -6*f(k) + 7*j(k). Let b be a(1). Suppose -b*g = -5 - 5. What is the nearest to g in -1\/6, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17289\/37290 - 6\/(-165).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 608 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4064.673 to the nearest ten.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 - -10 - (-17 + 3 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 663809 * 18.\nAnswer: 11948562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17450554?\nAnswer: 2, 11, 793207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4220 + 3748. Suppose 3*q - q + 498 = 0. Let f = q - n. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2426\/29859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248528*p**4 - 16790*p**2 - 4?\nAnswer: -5964672*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/4 - 712*n**3 - 703943*n**2\/4 - 12667382*n - 281123388 = 0.\nAnswer: -2583, -161, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvw when three letters picked without replacement from {w: 6, m: 5, v: 1, i: 5, e: 2}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -10010?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6104\/93, 19, 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -84. Let n(m) = -1 - m**2 + 2*m - 3*m + 2*m**2. Let w be n(2). Put w, 3, x in decreasing order.\nAnswer: x, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = 5*j, -2*j = d - 1. Let h(a) = -21 - 8 + j + 6 - 13*a. What is the units digit of h(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 37*v**2 - 274 + 274 in the form f*v**2 + n + s*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714386119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140a98 (base 11) to base 10.\nAnswer: -220932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/45)\/(6\/40). Suppose 2*i + 2*i = q. Which is greater: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/27 and -7\/1485.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 8737\/4?\nAnswer: 8737\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.09 and -0.041642688.\nAnswer: -14.131642688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*(-593400)\/(-2967).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1819.329m?\nAnswer: 1.819329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + r + 3. Let f be m(0). List the prime factors of -2 + 33\/f + 1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19709?\nAnswer: 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2 = 3*g, 36 = 3*k + 5*g - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q**2 + 0*q**6 + 4\/3*q**3 + 0*q**4 + 1\/7*q**7 + 0*q**5 + 0*q - 5. Find the third derivative of m(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from htihs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 136 = -3*d + 3*l, -2*d = 5*l - 228. Let y = -122 + d. Let f(c) = c**3 - 4*c**2 + 3*c - 3. Calculate f(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 91. Suppose -c - 5*n = -0*n - 25, n - 5 = -s*c. Factor -16\/19*v**3 + 32\/19*v**4 + 2\/19*v**2 + 0 + c*v.\nAnswer: 2*v**2*(4*v - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 - 3*l**2 + 13*l + 11. Let n be z(-4). Suppose -117*j + 392 = -n*j. What is the greatest common divisor of j and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 1\/4*z**4 - 2\/3*z**3 + 7*z**2 + 0 - 1\/30*z**5 + 0*z. Solve d(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-10))**(2\/29)\/((q\/q**(7\/10))\/(q*(q*q**14*q)\/q)) assuming q is positive.\nAnswer: q**(4373\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-50)\/30)\/(2\/(-6)). Suppose -6*w = -z*w - 1. Let v(o) = w + 3*o**2 - 2 - 2 - 2*o. Let r(i) = 10*i**2 - 6*i - 10. Calculate 2*r(f) - 7*v(f).\nAnswer: -f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 13*d**2 - 5*d**2 - 3*d**2 - 249*d**3.\nAnswer: -249*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -3*b + 4*y, 4*b - 11*y + 16*y - 351 = 0. Calculate the remainder when 7307 is divided by b.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203.1 - 54.9. Let i = 156 + d. Let m = i + 101.99999957. What is m rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1 + 10 + 2*l - 3*l. Give z(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgaggxwggaw. What is prob of picking 2 a and 1 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14307 or 14308?\nAnswer: 14308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1516 = -7*j + 3*j, j = -3*m + 913. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -1.5. Let j = 7 + -25.2. Let o = -3.2 - j. Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/21678270 and 163\/778860.\nAnswer: 130069620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*r - 2, g + 0*g + 23 = 4*r. Let x = g - -13. Find o such that 3 + 5*o**2 - 2*o**2 - x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -85990, -171992, -257994?\n\"Answer: -86002*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8 + 156\/8. Let r be (0\/f)\/(-1 + (-1)\/1). Solve k - 32 + 29 = r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 6, z: 4}. What is prob of picking 1 f, 1 d, and 2 z?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrkwrwrkvzrkv. What is prob of sequence wk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (-417 - -428 - (0 - -3))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 113?\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -454*3\/1665 + 5593\/85 + -65.\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*g**3 + 51 - 6*g**3 - 6*g**3 + (3*g - 4*g + 0*g)*(g**2 - 4*g**2 + 2*g**2).\nAnswer: 20*g**3 + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 3*z**2 + 4*z + 3. Let u be 3\/(9\/(-60)) + 4. Let b be (-13)\/4 - 4\/u. Is k(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 11. Let x be 46\/6 + (-5 - 80\/(-15)). Let q be o(x). Solve 7*j - 25 = q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**6\/3 - 6*b**5\/5 + 2*b**4 + 32*b**3\/3 - 32*b + 101. Factor y(a).\nAnswer: -2*(a - 2)*(a - 1)*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-3)*s*s**(-12\/7)*(s\/(s**(-12)*s*s))\/s*s\/(s*s**(1\/2)) assuming s is positive.\nAnswer: s**(179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/231 and 310\/(-12)*(-114)\/(-4275).\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279814 by 16.\nAnswer: -139907\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (107 - -1)*6\/8. Let j(b) = b + 2. Let a be j(-8). Let p be 8\/(-6)*u\/a. What is the greatest common divisor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from itwugulwllwii?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756336355 to the power of 1\/3, to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2022 - -2021.7. Which is the nearest to 3? (a) -31 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 110057 - 110057 + z + 68*z**3.\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10001001001 (base 2) to base 6\nAnswer: 5025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181 * -5.\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 126\/(-27) + 7 + -3. Put i, -2\/41, 1\/2 in increasing order.\nAnswer: i, -2\/41, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206 + 18*s + 206)*(21*s - 39*s + 19*s + 142).\nAnswer: 18*s**2 + 2556*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from qqbqqqqqbqb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*z + 24 + 6, -35 = 5*k - 5*z. Let t = -6\/223 + 704\/9589. Is k bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 16 = -2*o + 4*l - 5, 24*o = 2*l - l - 547 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1288 or 31635?\nAnswer: 1288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z**2 + 7*z - 4. Let a(b) = b**2 - 7*b + 9. Let s be a(6). What are the prime factors of i(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10377 is divided by 2589?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + 0.212. Let i = a + 95.228. Round i to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 146 + 22?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-12)*1*6. Let f(y) = -11*y**2 - 9*y - 11. Let a(u) = -727*u + 1451*u - 5 - 5*u**2 - 728*u. Calculate w*f(p) + 9*a(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from eeqeeeeqeq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 s when four letters picked without replacement from wwssssssssisizziiiss.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 437623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11855 + 2.91995. Let n = k + -0.0385. What is the closest to -0.1 in -2, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59519?\nAnswer: 53, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(1*5\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*b - 45, -v - 69 = 4*b - 8. Let n = 81 + v. Let u(r) = 10*r**2 - 11*r - 3. What is the remainder when n is divided by u(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13493 minus 93913204?\nAnswer: -93899711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2689313*z**2 - 20077*z - 8 wrt z?\nAnswer: -5378626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.21 (b) -1\/2 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.855279kg in micrograms?\nAnswer: 2855279000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2923428 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(-4 - 1 + 3) + 2 + 2 - 5)*(-512*v + 70*v**2 + 512*v).\nAnswer: -210*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 14276942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.91 + 0.09. Let l = 14 - 13. What is the smallest value in l, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 6 - 3) + (4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 384718.\nAnswer: 33\/384718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7020000 to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7795281 millimeters?\nAnswer: 779.5281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1.2 (c) 2\/11 (d) -4 (e) -285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1444 - 924*g**4 + 1444)*(1 + g - 1) + 2*g**5 + 3*g**3 - 3*g**3.\nAnswer: -922*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -40. Let a be 4\/18 - (-2)\/(-9). Suppose -u + 41 = 2*r, u - 4*r = -a*u + h. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -220\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -297, -583, -869, -1155, -1441, -1727?\n\"Answer: -286*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(125)*-1 - sqrt(125)*2*-5 - (5 + sqrt(125) + 0 - (sqrt(125)*-2 + 1)).\nAnswer: -4 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alallalaalllallaaa. Give prob of sequence lla.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*h - 42 = -81*h. Suppose 0 = -h*n + 5*l - 6*l + 2948, -2*n - 4*l + 1952 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45124\/(-870) - -52)*(-6)\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -70, -160, -296, -484, -730?\n\"Answer: -b**3 - 14*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 434*h - 31433. Determine b(-92).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/12466 and -43\/91857.\nAnswer: 1145089362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 3*k + k - 5. What is the smallest common multiple of t(5) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d - 15. Let s be o(-10). Calculate the common denominator of 47\/7 and s\/8*(-6)\/9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 824541900 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11899 + 7703 = 6*r. Suppose 2*o + 5*b = -r + 24312, -4*b = -2*o + 21018. Is ((-4)\/(-2) + -1)\/(15\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0569 and 0.4?\nAnswer: 0.3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 35*b**4\/3 + 12*b**3 + b**2\/3 = 0.\nAnswer: -1, -1\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9599 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/84)\/(42\/(-21)))\/(3\/7)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2 + 1447739*w = 0?\nAnswer: -1447739, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -384, -461, -592, -795, -1088?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**(-1\/4)\/i*i)\/i*i))\/i)\/i*i**(-1\/6)*(i*i*((i\/((i**(1\/5)*i)\/i*i*i)*i)\/i)\/i*i)\/i**(-3\/5))**(-5\/3) assuming i is positive.\nAnswer: i**(-29\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 12\/(4*-1). Suppose 304 = z*o - 2001. Suppose -w - 5*u - o = -4*w, -2*w + 318 = 2*u. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3 = 3*k, -4*t - 3*k + 1 = -2. Suppose t = -8*a + a + 14. Suppose 0*r - 3*r = -a*w - 37, 80 = 4*r + 5*w. Solve -2*u - 3*u - r = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 3:04 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yddkykkykk. Give prob of sequence kydy.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**3 - 175*f**2 - 27*f + 30. Let a(j) = 5*j**3 - 83*j**2 - 13*j + 14. Calculate 13*a(w) - 6*n(w).\nAnswer: -w**3 - 29*w**2 - 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*o + 5 - 5)*(0 - 5 + 3) - 5 + 2*o + 5)*(24*o + 120 + 12*o - 33*o).\nAnswer: -18*o**2 - 720*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 13. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1*sqrt(22)\/sqrt(2) + 3 + (sqrt(44)\/(1*sqrt(4)) - (sqrt(44)\/sqrt(4) + 2)))*-4)**2.\nAnswer: -128*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 15, z: 4}. Give prob of picking 2 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*r - 726*r + 5*f = -58, 40 = 5*r - 3*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, -1, 1, -17204, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211138.0499815 + -211138. Let h = -0.05 + o. Round h to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158.49 + 157. Let n = 1.3 + q. Let r = n - -0.11. What is the second biggest value in -0.3, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.23 and 3.8?\nAnswer: -19.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**4 - 16*a. Let f(q) be the first derivative of 2*q**5\/5 + 5*q**2\/2 + 1. Let g(k) = 7*f(k) + 2*m(k). Find the second derivative of g(y) wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6)\/l*l*l**(3\/7)\/l*l*l**2*l\/l**(-1))\/((l\/l**(-1)*l)**(-3\/13))**(-1\/52) assuming l is positive.\nAnswer: l**(65045\/14196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 160301052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:05 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = -2*x, 4*s - 36 = -x + 5*x. What is the second derivative of -2*w + 9*w**4 + 2*w**4 + 6*w + s*w wrt w?\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, 47.316487, -1 in increasing order.\nAnswer: -5, -1, -2\/3, 47.316487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 2629*p**6\/120 - 127*p**5\/20 + p**4\/12 + 106*p**2 + 3*p. Find the third derivative of b(q) wrt q.\nAnswer: 15774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 162915?\nAnswer: -13\/162915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 3*z = 475. What is the highest common factor of 75 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2133\/(-135) + ((-8)\/50*-55 - 6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*(j\/(j\/(j*j**16)))\/j)*j*j**(-18)*j**(-1\/2)\/j*j*j*j**(2\/7)*j assuming j is positive.\nAnswer: j**(-437\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*m - 7 = -15, 0 = -2*i + 5*m + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 33 - 17 - 1040*s - 25 - 1344*s. Is u(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gai when three letters picked without replacement from vaagig?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4 - 5. Let a be (-80)\/44 - 2\/11. Is a != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let i(t) = t**2 - 17*t + 36. Let x be i(15). Factor -3 - x*d**2 + 0 + 2*d**3 + l + 6*d.\nAnswer: 2*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35223?\nAnswer: 3, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11221642?\nAnswer: 2, 5610821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 13) to base 11\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/6*3\/(-2). Suppose 0 = f + 4*n - h, 0 = f - 2*n - 42 + 1. What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/7 + 45*q\/7 + 754\/7 = 0. What is q?\nAnswer: -13, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 - 365 = -47*i. Solve -5*t = -5*o - i - 8, -2*o = -t + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -2 (c) -0.2 (d) -0.3 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1892486km in millimeters?\nAnswer: 189248.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, i: 3}. What is prob of picking 3 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 equal to -258098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 46*j**2 - 45*j - 30. What is w(-45)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 29 - 43 + 3 - 2 - 3 - 3 + 3 + 2 - 1 + 2 + 0 + (2 + 1 - 1)*(-6 + 2 + 2) + 3 - 2 - 10)*(-p - p**3 + p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 40. Suppose 4*u = -11 + 43. Calculate the least common multiple of y and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2427*w + 74. Is v(-31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*d**2 + 1)*(-4*d + 3*d + 0*d) + 4*d**3 - 5*d**3 + 0*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 32. Let d = k + -23\/2. Let -3\/4*f**2 - 5\/4*f**3 + d*f + 0 = 0. What is f?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {g: 1, q: 5, w: 5, n: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 7:48 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -699, -673, -647, -621, -595, -569?\n\"Answer: 26*c - 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 886741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*i - 12 = 0. Let m = i + -16. Is 536\/6*(-15)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Let q(r) = 3*r + 3. Let f be q(u). Factor f*j**3 - 6*j**2 + j + 0*j**4 + 0*j - 4*j**4 + 0*j**4.\nAnswer: -j*(j - 1)**2*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 65. Let w = d + 93. What is the highest common factor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-352)\/12*(-210)\/8. Suppose -n = -5*x - 0*x - y, 3*x = 4*y + 485. Let z = -4 - -35. Calculate the greatest common divisor of z and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 6*v. Let z be b(7). Let s(i) = i**3 + i**2 + 4. Let m be s(0). Suppose -7*d + 8*d - 13 = 0. Solve -m*g - z = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -3\/4, 0.2, 2\/9, 508?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*f - 6*f + 4*c, 0 = c + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32169942 by 6.\nAnswer: 5361657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from occmreve. What is prob of picking 1 e, 1 v, and 2 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 52*a - 5*a + 45*a - 24*a as s + b*a and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-30))\/(12\/(-2195))*-6?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 - 47*j - 20. Let w(p) = 15*p**2 - 117*p - 51. Let v(o) = 5*w(o) - 12*x(o). Let r(d) = -d**3 + d**2 + 1. Let a(c) = 3*r(c) - v(c). Factor a(u).\nAnswer: -3*(u - 3)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.476414 nanograms in grams?\nAnswer: 0.000000000476414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1128 + 27?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 70*l + 35. Let i be h(-34). Let s = i + -54. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0852 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(252)*-1.\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(-5 - (-112)\/21). Sort o, 5, -3, -16 in ascending order.\nAnswer: -16, -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 - (-15 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 10*i - 9. Let m be b(-9). Let o be 2 - 0 - (2 - 6). Let y be o\/(-14) - 85\/(-35). Put y, -9\/5, m in descending order.\nAnswer: y, m, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*i + 32450 = 3916*i + 635 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 11*r**6\/15 - r**4 - 22*r - 22. Let m(w) be the first derivative of o(w). Find the third derivative of m(p) wrt p.\nAnswer: 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 2. Let k(s) = -s - 4. Give -7*d(z) - 3*k(z).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q = 41*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10983134 divided by -5491567?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(2 - 1 + 3*t**2 + t**2).\nAnswer: 4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2677.4 + -2677.9. Which is the nearest to -1? (a) -41 (b) n (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 25. Let p be x(-4). Calculate the lowest common multiple of (-24)\/p*(-22 - -13) and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 605*f**8\/336 + f**4\/2 + 17*f**3\/6 - 2*f**2 + 8*f. Find the second derivative of o(a) wrt a.\nAnswer: 12100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9810 divided by 5.\nAnswer: -1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 28*x**3 + 460*x**2 + 1984*x + 768 = 0.\nAnswer: -8, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-3)\/6*1. Let t = -1 + p. Solve w = -5*j - 20, -5*j + t*w - 1 - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*t + 31. Let z(g) = -4*g + 53. Is z(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s + 2. Suppose 14*k + 10*k - 120 = 0. Calculate the least common multiple of -6*k\/(-90)*63 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 12 = 24 - 138 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 12032992?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y + 2 - 2 + 5. Let o(s) = -8*s + 4. Let b(u) = -3*o(u) + 2*x(u). Let v be b(3). What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 161*o**5\/10 + o**4\/12 + 67*o**2\/2 + 28*o. Find the third derivative of a(l) wrt l.\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.44070084 rounded to four decimal places?\nAnswer: 2.4407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 22379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35401.55 tonnes in kilograms?\nAnswer: 35401550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8535 + -8532. Solve 0 = -4*b - v + 25, -a*v = 87*b - 89*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502233252 (base 6) in base 15?\nAnswer: b31e3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 6:36 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1003 - 9 = u, 0 = 5*u + 4*n - 4979. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22466813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2 - 4 + 4)*(0 + 5 + 0)*(4 - 6 + 3).\nAnswer: 15*d + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-1)\/(21\/(-81)). Which is the third smallest value? (a) -0.1 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Let w be -3*(-4)\/(-6) + 11. Let v(d) = -57*d**2 + 9*d. Let k(j) = -14*j**2 + 2*j. Let x(o) = w*k(o) - 2*v(o). Calculate x(p(a)).\nAnswer: -48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**2 + 0*l**5 + 5\/12*l**4 + 1\/210*l**7 + 0*l**6 + 0*l**3 + 0 + 0*l. What is the second derivative of p(o) wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2672 - 26 = -258*b + 453 - 3225 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29955?\nAnswer: 3, 5, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809379 is divided by 1415?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*w = -110*w + 56. Suppose 4*i + 2*j - 34 = 0, 4*i - 10 = 2*j + 36. Let l(q) = q - 1. Let v be l(5). Solve i = -v*s + w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yiyiiyyiyyiyiyyyyyi.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.6. Let l(n) = -n**2 + n + 1. Let a = -2 - -5. Let w be l(a). Put w, t, -0.4 in ascending order.\nAnswer: w, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446607.\nAnswer: 3, 7, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -114523300 to the nearest 1000000.\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/11)*d)\/d**4)\/(d**(2\/3)*d**(-1)*d)*d**(-2)*d**1\/((d*d**(-4))\/d) assuming d is positive.\nAnswer: d**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (16 - ((5 - 19) + 24)) - -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h + 3*h = 0. Solve 0 = -4*c - h*c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {l: 5, i: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 5*m**2 - 3*m**2 + (0 + 0 + 2)*(-2*m**2 + 3 - 3))*((-m + m + 2*m)*(-4*m - 3*m + 4*m) - m**2 + 0*m**2 + 0*m**2).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + (4 - 4) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.71 from -20.\nAnswer: -21.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (192\/(-112))\/((-2)\/84). Let s = -48 + m. Suppose 17*o + 28 = s*o. Which is greater: 13\/3 or o?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -46603 + 12619. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 33501*f - 4. Let k be i(4). What is k rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 1045440*g + 54647239680 = 0. Calculate g.\nAnswer: -104544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 5, -1, -5 in decreasing order.\nAnswer: 5, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciiiiiiiizzc. What is prob of sequence zicc?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67, -164, -261, -358, -455, -552?\n\"Answer: -97*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -403110212?\nAnswer: -403110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from rgidddrd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(3*sqrt(16)\/sqrt(4)) + -4.\nAnswer: -4 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 8*v**2 - 22*v - 23. Let i be c(-10). Let w be ((-2)\/6)\/(i - 70\/(-21)). Let d be (3\/30)\/(3\/4). Sort -2\/5, 4, d, w in ascending order.\nAnswer: w, -2\/5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 24 = -2*d + 8*f - 1, -4*d + 48 - 55 = -f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 1. Let k be r(-3). Is (-5034)\/k - ((-240)\/50)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7474761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -681.5 - -682. Is 0.022 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74.84 - 75.34. Let t = -22 - -7. Let v be t\/27*-3 - 2. Which is the smallest value? (a) -2 (b) r (c) v (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 11*o - 2 + 7*o)*(o**3 + 2*o**3 - 2*o**3).\nAnswer: 13*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 411?\nAnswer: -5\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -0*a + 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 1256*r**2\/3 - 138*r - 836\/3 = 0. Calculate r.\nAnswer: -2\/3, 1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947818 is divided by 125.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p. Suppose -3*i + 70 = 5*k, 2*i - k + 4*k - 46 = 0. Let c(x) be the second derivative of 7*x**4\/3 - 10*x**3\/3 - x + 106. Give i*z(u) + c(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19416222.44 rounded to the nearest one thousand?\nAnswer: 19416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 74. Let f be h*((-8)\/2 - 0). Which is the fourth biggest value? (a) -2\/9 (b) 2 (c) f (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332819221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9318 + 8150 - 6512 = 492*w - 7248 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1651*h - 70. Let t(m) = 1650*m - 95. What is -4*p(l) + 3*t(l)?\nAnswer: -1654*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -9, -2*m - 3 = -x - 0*x. Let r be (-2)\/(-1 - (1 + -1)). Suppose -r*f - 2 + 4 = 0. Put x, f, 5 in decreasing order.\nAnswer: 5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -11. Let q(p) = 6*p. List the prime factors of q(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15)\/((-4)\/(-30))*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11371013?\nAnswer: 433, 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 0)*2\/4. Let b be (4\/28 + (-352)\/(-35))*-10. Let s = b - -102. Solve -q*i + i + 5 = s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1997192 is divided by 2509?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4187 + 4183. Let l(x) = 3*x**2 + 2*x - 6. Let j(z) = -5*z**2 - 3*z + 11. Calculate b*j(h) - 7*l(h).\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -542, -1067, -1592, -2123, -2666, -3227?\nAnswer: -3812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*a**4 + 49*a**3 + 102*a**2 - 196*a - 8.\nAnswer: -(a - 2)**2*(a + 2)*(25*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 d when four letters picked without replacement from {r: 2, t: 2, d: 4, w: 1, u: 3, y: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Let m be (2\/12)\/((-1)\/1). Let x = 3.1 - 3. Which is the nearest to x? (a) s (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1462926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3844*q**5 + 493396*q**4 - 8274120*q**3 - 1973443176*q**2 - 2661696828*q - 900153324 = 0. What is q?\nAnswer: -93, -21\/31, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 2*z**2 + z - 2. Let f be k(3). List the prime factors of f\/(-35) - 4122\/(-21).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2638 + -1191. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -40897, 5 in increasing order.\nAnswer: -40897, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 174?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 274*s - 8899. What is l(-39)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgr when three letters picked without replacement from {x: 2, g: 3, r: 4, y: 1, p: 3, c: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.84616ug in nanograms?\nAnswer: 18846.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144175 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 5, -3, -17, -37, -63, -95?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (-41 + (67 - 63))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3, b + l = 5*b + 21. Let z be -8*84\/(-48)*b\/7. Let o(a) = -a**3 - 11*a**2 - 9*a + 13. Determine o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:03 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(13) - (-3 + -1 + sqrt(13))) + 2*sqrt(637)*-1 - (3 + sqrt(39)\/(1*sqrt(3)) + sqrt(1872)*-1).\nAnswer: -3*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-31\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13394.8573 rounded to the nearest integer?\nAnswer: -13395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/5 (b) -21 (c) 399 (d) 4 (e) 0.2 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - 29 - (56 - 18)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/511779 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*g = -6*g - 6, -10 = -4*r + 2*g. Suppose -r*y = 2*y - 6. Solve -k + 6 = y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 3*s**2 - 2*s + 1. Let p be q(3). Suppose -3*w + 46 = 2*f, 4*w - 3*f - p = 2*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 79, 64, 45, 22, -5, -36?\n\"Answer: -2*m**2 - 9*m + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -40, -80, -126, -172, -212, -240, -250?\n\"Answer: h**3 - 12*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57333 = -3779*o + 30576 - 41265 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -1611046?\nAnswer: -1611046.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.02903642 to one decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 33. Let w = -318 + 314.98. Let n = w + 0.02. Which is the second biggest value? (a) 1\/5 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7345, 13349, 19353, 25357, 31361?\n\"Answer: 6004*l + 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-592)\/(-10)*(-3 + (-11)\/(-2)). What is the greatest common divisor of l and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 + 1142*o + 13. Is t(69) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(720) + ((1*sqrt(720))**2 - sqrt(720)) - sqrt(720)) + 4)*6 + 3.\nAnswer: -144*sqrt(5) + 8691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 15*4\/18?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 20*s - 11. Let g be w(-4). Let c(y) = 20*y + 16. Let p be c(-7). Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6427 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v. Let b(t) = -t**3 + t**2 + 3*t - 2. Let y be b(2). Suppose 18*s - 13*s = y. Let l be o(s). Solve -5*d + l = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1 - (7 - 5). Suppose -3*x = 9, -g*s + 5 = x - 2*x. What is the least common multiple of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 2*r. Suppose r = -11*b + 694 + 318. What is the greatest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o, -6*r - 10 = -4*r + o. Let n = r + -4. Let x = -2 - n. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v**3 + 11*v**2 - 11*v - 79. Determine n(4).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 395997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2343834us to milliseconds.\nAnswer: 0.0002343834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -35 (b) 4 (c) 184 (d) -0.06 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 35, 3, 6, 0.1, -1\/57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51370623.\nAnswer: 3, 19, 300413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/7, -1\/3, 724 in decreasing order.\nAnswer: 724, 1\/7, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 38. What is the derivative of 0*t - u*t**3 + 47 + 59*t**3 - 60*t**3 + 0*t wrt t?\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12867.06504 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -201747\nAnswer: 121048.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433225 by 2795.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2333 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 + (0 - (-45)\/84). Let v = -5.9 - -0.4. Let q = 0.5 - v. What is the nearest to n in 0.2, q, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:42 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -k - 23, 0*j + j = -2*k + 3. Solve 0 = -5*d + j + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-25)*10\/(-16)*4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5318 - 386. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369910.\nAnswer: 2, 5, 71, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0619581375 to five dps.\nAnswer: 0.06196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s - 191 = -39*s. Suppose -11 = 3*t - s. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 n when four letters picked without replacement from {s: 2, n: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 937693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 9*y + 4. Let a be j(6). Calculate the highest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 961 = -29*m. Suppose -4*b = 2*o - 74, -2*o + o - m = -2*b. Calculate the greatest common divisor of b and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 1 - -2) + -108 + 82.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 573*o**2 - 77*o - 1093962.\nAnswer: 1146*o - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*n - 2, -2*b - 5*n + 21 = -b. What is the common denominator of 178\/8*(-6)\/12 and -2*(b - -2) + (-205)\/76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7 = 3*j, 5*j - 7 = -o + j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - g**2 + 3*g + 4. Let p be f(-2). Suppose 59 = 7*u - p*u - 2*c, 2*c - 18 = -2*u. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65336233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 707 = -709 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/105)\/(12\/10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2377234?\nAnswer: 2, 23, 51679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4958069 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40804196*p**4 - 5344470 wrt p?\nAnswer: 163216784*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-3) - (-190)\/20. Factor -1\/2 - 3*i - y*i**2.\nAnswer: -(3*i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632218, -632384, -632660, -633046, -633542?\nAnswer: -634148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 421428 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -7*t**3\/3 - 3*t**2\/2 + 3*t + 13468. Suppose 0 = 4*z - 83 + 3. Let g(b) = -48*b**2 - 20*b + 20. Calculate z*r(c) - 3*g(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -9 - (-52 + 60)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1030154176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let o(v) = v. Suppose -4*u + y + 161 = 0, 3*u + 0*u = -5*y + 92. Let j = u - 32. What is j*f(w) + 6*o(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4342*-22\nAnswer: -95524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.2, -18.30728, -2\/17?\nAnswer: -18.30728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/54)\/(4\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/7010928 and 113\/1460610.\nAnswer: 35054640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6004 + 1.2004. Which is the third smallest value? (a) 1 (b) n (c) 1\/18 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Suppose q - 5 = -5*h, 0 + 5 = 5*h - f*q. Which is the second smallest value? (a) -2 (b) -2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnz when three letters picked without replacement from {e: 2, z: 1, n: 2, k: 6}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 2*t - 130. Calculate m(19).\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*9\/(-12) - (-91445)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5\/4)*o*o**(-1\/2))\/(o**10\/((o*o**(1\/10))\/o)))**(1\/16) assuming o is positive.\nAnswer: o**(-213\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39504713 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**3*l**3*y + 135336*a**3*l**3 - 3*a**3*l - 2*a**3*y - 165*a**2*y + 2*a*l*y - 5*a*y + l**2*y wrt l.\nAnswer: -102*a**3*y + 812016*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 3*c**2 - 22. Let r(m) = -2*m**2. What is b(r(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 11. What is the third smallest value in 0.4, -0.5, 2\/21, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.83048 to 1 dp.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from lggagaagsaax?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:29 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/4 + 2*v**3\/3 - v**2\/2 - v - 11. Let o(m) = -m**2 + m + 1. Let s(r) = -n(r) - o(r). Factor s(c).\nAnswer: -c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*3\/50)\/((-429)\/(-572)*(-8)\/30)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004429654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4730718741 and 0.1188?\nAnswer: 4730718740.8812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:10 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r + 107*r + 87098 - 87101.\nAnswer: 65*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 380*g - 6 - 377*g)*(-g**2 + 0*g**2 + 0*g**2) in the form s*g + z*g**3 + o*g**2 + v and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 906638495 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*u + 3*p = -220*u - 3431, -5*p = -4*u + 6867. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 16 = 4*l, 3*z + 5*l + 409 - 389 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 4.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -167 - -169 - (1 - 40527)?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*g + 0*g = -20, -4*g + 10 = -2*i. Solve 31 = -i*v - 2*c, 4*v - 3*c - c + 8 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.22405 and 1570.\nAnswer: 3491.7585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/2 + 7*f**3 - 320727*f**2\/2 - 1122716*f + 12862155272 = 0.\nAnswer: -404, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 212476 and -1.5?\nAnswer: -318714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjojozzjeiyzoizzzz. What is prob of sequence zze?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -18. Let t = 2 + -5. Suppose -5*x - 15 = c, 5*x + 5*c + 26 + 9 = 0. Sort z, x, t.\nAnswer: z, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0066 * 62.5.\nAnswer: -0.4125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/91*(-672)\/544.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 8 + 16. Let t(x) = -x. Let q(c) = -2*c**2 + 3*c. Calculate p*t(o) + q(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxgsd. Give prob of sequence xd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 691*r**2 + 19*r - 69. Is x(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*u - 7*u**2 + 244*u + 3*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d + 1688. Determine g(-211).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 19, 152293?\nAnswer: 152293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176879 is divided by 1256?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2. Let c(p) = 6*p**2 + 670723883 - 2*p - 670723883. What is c(b(u))?\nAnswer: 96*u**4 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least 354989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-20)\/20)\/(4\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 2:28 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2497, 4992, 7487, 9982, 12477?\n\"Answer: 2495*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153247 is divided by 2149?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 - 34 = 46*c - 141 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:35 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*d + 13815 + 14494 = -209*d - 8624 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159.06237 + 0.14763. What is l rounded to zero dps?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/16 - (1 - (-23)\/(-4)). Solve 0 = 3*i + 1 - a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06978 in -3\/7, 9, 2\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1394 + 1447. Calculate the remainder when 105 is divided by q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 252566 + 62442 = 0. What are the prime factors of c?\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202 or -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h - 1 + 1 - 6 + 5*h - h**2. Let s be w(9). Let z(k) = 9*k. Let m be z(3). What is the highest common factor of s and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3620 (base 7) to base 2.\nAnswer: 10100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**3\/7 - 282*g**2\/7 - 641*g + 4770\/7 = 0?\nAnswer: -265, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -125201, -250317, -375361, -500333, -625233, -750061, -874817?\n\"Answer: 36*q**2 - 125224*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 = 0, 0*z - 3*a - 437 = -5*z. What is the highest common divisor of 748 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7834 + 7834.4. Which is the second biggest value? (a) -0.3 (b) -2 (c) l (d) -4\/9 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 152 - 124 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-141)\/(-27) + 14\/(-63). Suppose -g + 10 = v. Suppose -2*j - 2 = r - 0*r, 0 = 2*r + 5*j + 6. Solve 4*t - 4*i = 16, r*i = 3*t + g*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3430*l**5 + 28*l - 11 wrt l?\nAnswer: -68600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 0, 0*i + 39600 - 10738 = 2*i + 2*v. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 179*h - 491. Let f(i) = -1791*i + 4926. Let a(d) = -2*f(d) - 21*y(d). What is the derivative of a(l) wrt l?\nAnswer: -177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -10*j + 4. Let o be z(0). What are the prime factors of 3312\/(10 + -8) - (o + -1)?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + -5*(sqrt(245) - (-2 + sqrt(245))) + (sqrt(245)*-2 - sqrt(245))*6)**2.\nAnswer: 4788*sqrt(5) + 79741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*i - 4, -4*i + 12 = -4*d + d. Solve 2*x - x - 1 = i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 47*f**4\/12 - f. Let c(q) = 119*q + 11221. Let t(i) = 5*i + 458. Let y(m) = -2*c(m) + 49*t(m). Calculate j(y(p)).\nAnswer: 2303*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 (base 8) in base 7?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1493962\/129 - 11581. Calculate the common denominator of v and 67\/24.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 690648504 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 1 + 29. Suppose -12 = 3*u - i*u. Let n(c) = 3*c**2 - 14*c - 3. Let s be n(u). Solve -b + 3*x + 14 = 0, -3*b - 3*x + s = -5*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0 + 2 + 0 + 2 - 10*l. Let c(y) = 3*y - 1. Let q(t) = -7*c(t) - 2*p(t). Calculate q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/4)\/((-15)\/(-80)). Calculate the common denominator of 18\/v*(-21)\/(-24) and -91\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 24*b**2 - 51*b - 2144. Determine t(-22).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1116 - -1116. Solve 1\/2*a**5 + 0*a**2 + 0*a + x*a**4 + 0 - 1\/2*a**3 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8 + 3.80000038. Round j to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20669*-4.\nAnswer: -82676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*t**2 - 7*t**2 + 16*t**2)*(-1 + 1 - t**2) - 3583*t**3 + 3583*t**3 - 943*t**4 to l + p*t + w*t**3 + r*t**4 + x*t**2 and give r.\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 34*j**2 + 3. Suppose 3*r - 12 = -6*o, 3*r - 66 + 24 = 4*o. Calculate the remainder when z(3) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 716 and 275481?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*c = -15, -18*w = -21*w - c - 15. Suppose -8*j + 6*j + 20 = 0. Let y be j\/55 + (-103)\/22. Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmxaxsaamya. What is prob of picking 3 m and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -419.6897 + 0.1897. Let p = u - -419.50005058. What is p rounded to six dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 25. Let c be z\/4 - (-11)\/2. Let p = 18 - 13. Solve -3*a + p = -c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:19 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/1)\/(3\/(-2)). Suppose -3*c - 5*v = -6, c = -0*c - 3*v + h. Is 4\/7 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -20 - (61 - 24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.82539 and -0.18.\nAnswer: 1.64539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 209?\nAnswer: -13\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1792 - 1789. Suppose 2 = -t, 0 = 2*p + 2*p - 3*t - 14. Let n = 6 - p. Solve z*c - n = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*l**3*p - 84*l**3 + 25813*l**2*p**3 - l**2 + 2*l - 7427 wrt p?\nAnswer: 17*l**3 + 77439*l**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -239*j**2 + 5*j**3 + 18*j**3 - 26*j**3 - 76*j**3 wrt j?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**3 - 134*k**2 + 79 wrt k.\nAnswer: 6*k**2 - 268*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*y + 36 = 0, -4856*l = -4859*l + 3*y - 27 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z**3 - 3*z**2 + 2*z + 4. Give d(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*f - 34. Suppose -2*w - w - 812 = -5*l, -300 = -2*l - 5*w. What is the remainder when f is divided by (2\/(-4))\/((-8)\/l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 - -2) + (-38 - -42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**3*t**2 - 1295*r**3*t - 2*r**2*t**2 - 10*r*t**3 wrt t?\nAnswer: 8*r**3 - 4*r**2 - 60*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-18)*(56 + 1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**3\/7 + 184*n**2\/7 + 180*n\/7 = 0.\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 726 + -691. Let l(s) = s**3 - 6*s**2 + 2*s - 7. Let b be l(6). Solve -b*f + j - 15 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 - w**3 - 184676*w + 184676*w + 2. Determine t(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let h(b) = 10*b. Let l(c) = -c**2 + c - 2. Let u be l(0). Let o(n) = -n. Let w(v) = u*h(v) - 22*o(v). What is w(d(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 143453 + 4?\nAnswer: 143501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from {q: 3, y: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a*y**2 - 53*a*y - a + 1329372*y**3 - 35871 wrt y.\nAnswer: 18*a + 7976232*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -254*s + 56. Let y be b(-30). Suppose y = 22*x - 5568. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 236\/16 + (-1)\/(-4). Let b be -6 + 7 - 3 - (-36)\/6. Factor 20*i - c*i - b*i + 2 - i**2.\nAnswer: -(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12615*l + 2838329. Determine y(225).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Suppose -k*l = -0*l + 3*j - 88, -j = -4*l + 84. Let y(m) = -615*m - 1151. What is the remainder when y(-2) is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 182*r**3 + 3*r**2 + 22. Let a(s) = 637*s**3 + 11*s**2 + 78. Calculate -5*a(n) + 18*u(n).\nAnswer: 91*n**3 - n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 965*z**2 - 205 wrt z.\nAnswer: 1930*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22149462, -22149459, -22149456?\nAnswer: -22149453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g - 7. Let o be i(-5). Let w = 6 - o. Suppose -11 = 5*r + 3*n, 0*n - 3*n = w*r + 9. Is 0 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.013837km in meters?\nAnswer: 9013.837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 270*u**7\/7 + 40*u**3\/3 - 290. Find the third derivative of m(d) wrt d.\nAnswer: 32400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 + 2*d + 5. Let q(u) = 13*u**3 + 3*u**2 + 11*u + 18. Determine -4*p(i) + q(i).\nAnswer: 9*i**3 - i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = 41. Suppose -n - 2*i = -l, i = -n - 2*n + 54. Calculate the remainder when n is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/108*(-15)\/(-3). Let c(v) = -2*v - 10. Let b be c(-10). Let u be 1\/(5*2\/b). What is the smallest value in 5, -1\/5, u, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1422, -2, 4 in decreasing order.\nAnswer: 4, -2, -1422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22319*x**3 - 10*x*y - 9543867*y wrt x?\nAnswer: -66957*x**2 - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -263093.05 * 6.\nAnswer: -1578558.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11386 - 2?\nAnswer: 11384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x - 258. Give u(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 59, 138, 269, 464, 735, 1094?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*d - 226 = -469 - 1377 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*k**3 - 40219732*k**2 + 1366*k**3 + 40219732*k**2.\nAnswer: 1113*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 4137312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5950, -2, 2, -1\/4, -0.5 in decreasing order.\nAnswer: 5950, 2, -1\/4, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*3*1. Let o(i) = i**2 + 11*i + 9. Let h be o(-9). Let m = q - h. What is the biggest value in 4\/7, 1\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, -57, -84, 0 in ascending order.\nAnswer: -84, -57, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (-9 - (-7 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1133 and 20394.\nAnswer: 20394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -88*u + 509. What are the prime factors of m(-39)?\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9373 and 9?\nAnswer: 84357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374779699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 2*m + 58, 4*r - 87 = 3*m. Let u = r + 11. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612351062 and 28670?\nAnswer: 5734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 148 = -3*q, 8*q + 4*t - 224 = 12*q. Let u = -48 - q. Solve 3*g + 0*g - l + 14 = 0, -u*g - 3*l = 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30) - 10\/50) + (-27695)\/(-100275)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 1532*d + 71 = -1529*d, -2*c = -0*c - d + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - v**2 - 2*v + 1. Let b be x(-2). Let w = -5 - b. Solve -w*r = 3*u - 0*r - 22, -3*u - 3*r = -27 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29626\/25 + 29636\/25. Find n, given that 0 + 2*n - z*n**3 - 8\/5*n**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*a**6 + 63*a**5 + 3*a**2 - 3*a + 1842?\nAnswer: 1920*a**3 + 3780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 4*w. Let h(n) = -n**3 - 3*n**2 - 14*n - 6. Let l(g) = g**3 + 3*g**2 + 12*g + 5. Let p(x) = -5*h(x) - 6*l(x). Give 5*p(y) + 3*u(y).\nAnswer: -2*y**3 + 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -12695*r - 38058. Give q(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -1\/6, -0.4, 40522, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3411187*1\nAnswer: 3411187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 258*k**2 - 160*k + 393. Find the first derivative of r(b) wrt b.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfpkwwtkkk. Give prob of sequence wk.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4) - (-29337)\/(-364). Let t = -80 - q. Let g = -0.3 + 4.3. Sort t, 2, g in decreasing order.\nAnswer: g, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8457 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4351*v**4 - 9895*v wrt v?\nAnswer: 52212*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 a factor of 203405223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 27. Suppose 0 = 4*i - 5*k - 35610, -o*i + 5*k = 15607 - 42317. What is i rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 10. Let m(j) = -j + 2. Let s be m(4). Let g be (3 + -1 - 2)\/s. What is u(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -11\/168*u**8 + 0*u**7 + 0*u**3 + 11\/30*u**5 + 0*u**6 + 0*u + 0*u**4 + 0 + 14*u**2. Find the third derivative of j(p) wrt p.\nAnswer: -1320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:35 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - sqrt(108)*-1*3)\/((1*sqrt(72))\/sqrt(12)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from lbblttbetlett?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19+-1.45\nAnswer: -20.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((3 + -3)\/2)\/(-1). Let l(v) = 0 - 3 - v**3 - 2*v**2 + 3*v**2 + 3*v + i*v**2. Determine l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-6)*v))\/v)\/(v*v**(-2)))**(-13) assuming v is positive.\nAnswer: v**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389884176?\nAnswer: 2, 3, 11, 47, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 1610?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninflxvx. What is prob of picking 1 f and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*d + 27 = 0, -70 = -9*s - 3*d + 7*d - 37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-78)\/(-36) - 2) + 2254\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1 + sqrt(19))*-5 - -3*sqrt(38)\/sqrt(2)))**2.\nAnswer: 720*sqrt(19) + 3636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1620, 781, 3182?\n\"Answer: 2401*w - 4021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 9*m - 270 = -2*x, 535 = 2*m + 3*x. What is the remainder when m is divided by 47?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b**2 - 70*b**2 - 63*b**2 + 6862*b**3 - 6810*b**3 + 195*b**2.\nAnswer: 52*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5 + 3\/5*k**2 - 6\/5*k.\nAnswer: 3*(k - 3)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 + 69*r)*(3 - 5 + 0)*(-6 + 1 + 1).\nAnswer: 552*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2459 is divided by 583.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2989 or 2962?\nAnswer: 2989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/8091 and -73\/1392.\nAnswer: 129456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 806*m - 20790. Determine o(26).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 372 - 372.1. Sort z, 4, 1\/799 in decreasing order.\nAnswer: 4, 1\/799, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1753996, -1753998, -1754000, -1754002, -1754004, -1754006?\nAnswer: -1754008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013690762 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/25 + (-238)\/35. Let c(q) = -58*q - 37. Is 9 a factor of c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1331)*-6*3)**2.\nAnswer: 1724976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - a + 5*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 20*j = -6. Suppose 4*b = -5*r + 794, j*b + 4*r - 435 - 160 = 0. What are the prime factors of b?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/17*o**3 + 0 - 964\/17*o**2 + 0*o = 0. Calculate o.\nAnswer: 0, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1445, -0.11, -2\/29, 11?\nAnswer: 1445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14259186*a = -14259317*a + 9039 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 408*s - 4532. Calculate q(11).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14)\/((-549)\/122)*-2*(-81)\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 60 - 3 = 0. Let a be (1498\/z)\/(2\/6). Is 6\/(-2) - a\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -83*b**2 + 13*b - 13. Determine t(1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 9 = -4*h - l, -5*h - l + 57 = 0. Let u = h + -18. Is (284\/u)\/((-4)\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26860 - 13133 - 21620 - 8560)*(k**2 - 2*k**2 - 2*k**2) as n*k + i*k**2 + v and give i.\nAnswer: 49359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -0.2.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5220, 0.3, -18\/5 in decreasing order.\nAnswer: 0.3, -18\/5, -5220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -18 - 3. Suppose -4*k = a*k - 392. What is the lowest common multiple of 12 and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 10*k + 5. Let z be w(-8). Let g = -11 - z. Solve g = -3*t - 5 - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 26*s - 28*s + 251 = 0, 4*k + 329 = -3*s. Which is smaller: k or -335\/4?\nAnswer: -335\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/54 and 131\/48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 11:57 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 946354?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x + 7*x)*(-4 + 0 + 3) - 680*x + 293*x + 287*x.\nAnswer: -107*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 1 (c) -30937 (d) 3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320624 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -w, 10*w - 3*m = 5*w + 7. Solve f + f + w = b, 5*f = 3*b - 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -y - 35, 2*y - 175 = 2*k - 7*k. Suppose -20*p + 3666 = 906. Calculate the remainder when p is divided by k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289790, -289825, -289878, -289949, -290038, -290145?\nAnswer: -290270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 27\/3 - 0. Let w = -13 - a. Let s be 0\/6 + -1 + 1. Put w, s, 1 in ascending order.\nAnswer: w, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a + 158. What is the units digit of y(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16964.8 + -1739884.\nAnswer: -1756848.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14868211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - (-3 - (1 - (-3 + 2)) - (-138 + 125)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/19602 and -16\/9.\nAnswer: 19602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -638 + 637.99658. What is o rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 11, 2\/7, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27615984 divided by -1725999\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8\/3, -72, -0.3, -0.04, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2. Let t be (-564)\/(-8)*(-20)\/(-3). Let f(m) = 470 - m - t. What is f(g(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6006083 - -3?\nAnswer: 6006086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/7, 2\/7, 2029\/96 in descending order.\nAnswer: 2029\/96, 2\/7, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7. Let v(i) = -1200000*i**2 + i - 1. Let f be v(l). Round f to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + t)*(-2*t + 6*t + 0*t) - 4*t**2 - t**2 + 0*t**2 + (3*t - 4*t + 0*t)*(0*t + 2*t - 3*t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131034 (base 5) in base 15?\nAnswer: 6249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12453, -24696, -36939?\n\"Answer: -12243*h - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 57*x**2 + 114*x + 176. Calculate j(-55).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 2352*i - 103680.\nAnswer: -4*(i + 48)*(i + 540)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 - 2*x + x**2 + 0 + 3 - 1 + 0*x**2 to the form s*x**3 + n*x**2 + j*x + d + h*x**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 divided by 3?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 3*c + 2*c**3)*(0*c + 5 - 4*c + 3*c) as a*c**3 + y*c**4 + u*c + i + m*c**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 4. Let d be k(4). Suppose 2*w - d*w - 3*t = -10, -5*t = -5*w. What is the third derivative of -w + 2*b**2 - b**6 + 2 wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 12:42 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*j + 2*k + 4 = -585*j, 7 = -5*j - k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -318 + 414 - (48 + -7)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/20 + j**4\/12 + 4*j**2 - 34*j + 1. Give w(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoc when three letters picked without replacement from {o: 1, h: 1, u: 1, c: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-16)\/120*3)\/((-18)\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10822 by -17.\nAnswer: -10822\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z - 4. Let a(r) = -6*r + 2. Determine -5*a(t) - 2*w(t).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/32 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 15*q - 37. Let j be r(-11). Let a be 2\/j*(-4 - -11). Is a < 5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {c: 2, s: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 11, 8, -5, 1021 in increasing order.\nAnswer: -5, -4, 0, 8, 11, 1021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 477 + -390. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.262663728 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.931 - 0.931000937. Round q to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4 - 7) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 369\/5. Let q = -1 + 1. Which is greater: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17625 (base 8) to base 9\nAnswer: 12073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -838 + 863. Let t be (-36)\/(-10) + -4 + 160\/c. Solve 7*y - t = 5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21199*c**5 + c**3 + 495367*c**2 wrt c?\nAnswer: 1271940*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285*d**4 - 40.\nAnswer: 1140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -24. Let g(v) = -v**2 - 16*v + 2. Let q be g(j). Solve -2*w - 5*s + 31 = 0, -w - 5*s + 22 = -q*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 + 148*r**3 + 2*r + 9 wrt r.\nAnswer: -12*r**2 + 888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517 and 282?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4408, -4236, -4064, -3892?\n\"Answer: 172*o - 4580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -4*m. What are the prime factors of 1 + 16 - (-1 + m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q = 51*q + 943 + 632 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) -2 (c) -2\/9 (d) -1 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1277639 divided by 10559.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 125636\/(-880) + -1 - -4. Let r = 1582\/11 + s. Calculate the common denominator of r and ((-6)\/8)\/(42\/(-236)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5399 - 5399.4. What is the nearest to 8 in 8, z, 0.3, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.372055 rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 694618 - 694617.8850131. Let y = k - 0.115. Round y to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3453402 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 3 - 2*u - 5*u**2 + 2*u**3 - 3*u**3. Let t be v(-4). Let y be (-12)\/(-16) - 45\/(-84). Is t < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:24 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 23*q - 8. Give a(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1\/3 (c) 517 (d) -4 (e) -1\/6 (f) 4 (g) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*d + 4881*d = 98*d + 382536 for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1 = 7*t, t - 13*y + 18*y = 67 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -9. Suppose j = -3 + 4. Put j, h, 0 in descending order.\nAnswer: h, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-306)\/3)\/((-30)\/220) is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*c**3 - 337*c**3 + 201*c**3.\nAnswer: -520*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538409 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 + -68. Suppose 20*s = -9*s + 29. Sort -6, -4, f, s in increasing order.\nAnswer: -6, -4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 45*n**2 + 18. Let m(g) = -39*g**2. Calculate b(m(r)).\nAnswer: 68445*r**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 161936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -k - 17, -3*j + 47 = -8*k + 3*k. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 17*b + 19*b - b**2 - b**2 + (-4*b + b + 0*b)*(-4 + 4 + 4*b) + (-b**2 - 2*b**2 + 0*b**2)*(1 + 5 - 4) + 5*b**2 - 4*b**2 - 3*b**2.\nAnswer: -22*b**2 + 2*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 2}. Give prob of sequence obob.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - -15215230?\nAnswer: 15215203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/140 and -37\/374808.\nAnswer: 1874040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1282380*t**2. Let l(o) = 117*o. Determine r(l(a)).\nAnswer: -17554499820*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 12. Let q be n(4). Suppose 0 = q*x - 8, 2*g + 1199 = 3*g - 4*x. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*a**4 + 189*a - 5*a**4 - 10*a**2 + 9*a**2 - 7*a**4 - 3*a**4 to the form z*a**4 + j + y*a + s*a**3 + k*a**2 and give y.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x + 4054 - 6759 - 8545 = 0. Calculate the remainder when x is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t\/(t*t\/(t*t\/((t*(t\/(t**(1\/4)*t)*t)\/t)\/t))))\/t)\/t)**(-7)\/(t*t\/(t\/(t\/(t*t\/(t\/(t\/(t\/t**(-1\/2)*t))))))*t)**(-3\/5))**(2\/93) assuming t is positive.\nAnswer: t**(-133\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1598*f - 19*f + 18 - 155. Is u(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 6*s + 27. What is c(-11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -75*g**2 + 2*g + 7. Let r(c) = 113*c**2 - 3*c - 10. Let y(l) = 5*r(l) + 7*x(l). Does 16 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = 4*k. What is the remainder when 12 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let v(c) = c. Let u be 417\/5 - 2\/5. Let i = -80 + u. Suppose -5*n - a = 0, 4*n = -0*a + 5*a + 29. Determine i*v(l) + n*z(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 + 117 = 0. Suppose -21 = -3*u, -21*u = 2*q - 16*u - 49. What is the remainder when s is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.5 + -18. What is the third smallest value in f, -3\/20, -1?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - j - 4*j + (-6*j - 9*j + 2*j)*(0 + 1 - 4).\nAnswer: 37*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8226, 32366, 72442, 128460, 200426, 288346, 392226, 512072?\n\"Answer: k**3 + 7962*k**2 + 247*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 28*f + 42*f - 16*f.\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 1. Let g = 4763 - 4765. Let i(v) = -2*v - 4. Calculate g*i(o) + 7*b(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x**(-1\/4)*x)\/x))\/x*x)\/x**(-4\/5))**41\/((x*x*x**6\/x)\/x**(-1\/6))**(-30) assuming x is positive.\nAnswer: x**(5981\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(1170\/(-4420)*(4\/(-27))\/2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13011 - 6892. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-57)\/(-12) + 6\/(-8). Suppose 0 = r*w + 4*x - 56, -5*x + 19 = -1. Let o(u) = -18*u. What is the remainder when o(-1) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*f - 3)*(-2 - 2 + 1)*(-11 + 302*f + 28 - 17) + 4*f**2 + 3*f**2 - f**2.\nAnswer: -2712*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 5*h**3 + 6*h**3 - 8 to m*h**2 + f + q*h + x*h**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (2 + sqrt(28)) - -6*(sqrt(7) + -1)) + (4*sqrt(7) + 1)*-6)**2.\nAnswer: 532*sqrt(7) + 2723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2149.83 years?\nAnswer: 25797.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 20*z = 36. Suppose 0 = -0*b + 5*b - 45. What is the highest common divisor of z and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, -3, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - g + 19 = 0, s + 0*s + 17 = 5*g. Factor 6*z - s*z - 7*z + 3 + 2*z**2 - 1.\nAnswer: 2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.204612ml to litres.\nAnswer: 0.002204612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1500, -3, 5, -4 in descending order.\nAnswer: 1500, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1734 - 3456932.\nAnswer: -3455198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/3 (c) -27 (d) -3.6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11)*3 - (sqrt(396)*-1 + sqrt(396))) + (sqrt(176) + 1 + 3 + 1)**2.\nAnswer: 34*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 19 + 3 = 0. Find the third derivative of -61*b**5 + 166*b**2 - 18*b**c + 18*b**2 + 55*b**2 wrt b.\nAnswer: -3660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107 + 2?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**4 + 317*i - 1139.\nAnswer: 8*i**3 + 317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*x - 23 = 0, -1 = -3*f - 3*x + 2*x. Suppose 0 = -i + f*i - 5. Suppose -i*g + 19 = -1. Solve -3*a + a - g*z = 0, 0 = 2*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(5\/381)\/5. Let h = -757\/635 - d. Is h less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 6.7. Let l = -19 - o. Let x = -25.000046 - l. Round x to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 4\/29 (c) 11040\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/28)\/((-6)\/(-4)). Which is the nearest to 1? (a) 0.2 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Find the common denominator of 18\/(-10) - 9\/6 and p\/(-5) + (-426)\/165.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 24\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 - -287. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -14, 27, 84, 157?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(180)*-1)\/sqrt(9))\/(sqrt(4) + (sqrt(64) - sqrt(64)*-4))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/60 + q**5\/30 - q**4\/3 - 4*q**3\/3 + 4*q**2 - 2. Factor u(c).\nAnswer: 2*(c - 2)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 9*w + 45. Let v(n) = -w*n - 7*n**2 + 6*n**2 + 5*n**2 + 5*n**2 - 11. Let g(q) = -4*q**2 + 7*q + 5. Let y(i) = -13*g(i) - 6*v(i). Calculate y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j - 2*j)*(-18*j - 30*j**4 + 18*j) - 3*j**5 + 5*j**5 - 3*j**5 + 15*j**2 + 8*j**5 - 15*j**2.\nAnswer: 67*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -64*m. Let i(u) be the second derivative of u**4\/12 + 364*u. Calculate i(n(k)).\nAnswer: 4096*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**8\/1176 - 2*y**7\/735 - y**6\/420 - 4*y**2. Suppose c(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-6)\/(-30) - (-1 + (-136)\/20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/15)*b*((b**(-7)\/b)\/b)\/b)**46*(b*b\/(b**(-2)*b))**(-32)\/(b*(b\/(b\/(b\/((((b*b*b*b**(-2\/3))\/b)\/b)\/b))))\/b)**5 assuming b is positive.\nAnswer: b**(-7729\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnhsmnkssssnnnn. Give prob of picking 2 s, 1 n, and 1 m.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.4487?\nAnswer: 0.3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohkkhokooakkovo. What is prob of sequence oh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/15))\/(w\/w**(-8\/3)))\/(w*w**(-4\/9))**47 assuming w is positive.\nAnswer: w**(-1301\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*2)\/((-2*sqrt(21))\/sqrt(7)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1005, -53, 4, -1 in increasing order.\nAnswer: -53, -7, -1, 4, 1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 671 = 4*m, 17*d - 274 = 15*d + 4*m. Suppose -824 = -13*c - d. Calculate the lowest common multiple of 2 and c.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 31*g - 236 + 67. Calculate the remainder when 273 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -117. Suppose 4*n = 783 + k. Let x = -126 + n. What are the prime factors of x?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.43866 rounded to 2 decimal places?\nAnswer: -12.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6702567532.93 + -1?\nAnswer: -6702567533.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y. Let o(l) = 19*l + 4. Let j(q) = -o(q) + 2*x(q). Suppose 0*t + t + 6 = w, 5*t - 10 = 0. What is j(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbee when four letters picked without replacement from {b: 1, a: 3, e: 11, g: 1, p: 3}.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 2, n: 4, m: 3, f: 2, s: 1}. Give prob of picking 1 e, 1 f, 1 h, and 1 s.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31395, 62015, 91851, 120897, 149147?\nAnswer: 176595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from okfjifz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 46*q + 4086. Determine i(-46).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 18 = -2. Suppose 5*v + p*l = 3*l - 22, 0 = 3*v + l + 14. Let x = v + 8. Solve -3*u + x*u = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9089*-80\nAnswer: 727120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*o**4 + 4*o**3 + 16*o**2 + 9*o - 377 wrt o.\nAnswer: 432*o**2 + 24*o + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1293 - 40?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -607 - -a7?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-10)\/8)*-1. Suppose -l*n + n = 9. Let d = -94 + 97. Sort d, -4\/7, n.\nAnswer: n, -4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -61. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27100715 (base 8) in base 16?\nAnswer: 5c81cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 43, 12\/5, -2.\nAnswer: -2, 1\/2, 12\/5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 3990?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (-2*(sqrt(136)*-2 - sqrt(136)) + sqrt(136) - sqrt(136)))\/(sqrt(72)*2) - ((sqrt(170)*-1 + sqrt(170) + sqrt(170))*-3)\/(-2*sqrt(10)*2)) + 4.\nAnswer: 5*sqrt(17)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59091 is divided by 48212.\nAnswer: 10879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12\/40*28\/((-1176)\/(-105))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 21. Suppose 4*l - k*s = s + 36, -2*l - s = -3. What is the units digit of (0 - 4)*(-1)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.948 - 0.052. Let s = 33 + d. Put -4, -3, s, -0.1 in decreasing order.\nAnswer: s, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a353 (base 13) in base 2?\nAnswer: -101100000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57267 at least as big as 44616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 22*o**3 + 5*o. Let n(z) = -z**3 - z. What is -l(d) - 5*n(d)?\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3 and -15\/11629?\nAnswer: 34887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let l(p) = -2 + p**2 + 1 + 13*p - 13*p. Let w be l(q). Solve 3*h - 8 - 1 = w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n, t - 4*n = 6*t - 30. Let d(c) = 33*c**2 + c. Let a be d(-1). Suppose -4*u = o + 20, -5*o = 5*u + a - 7. Solve o = t*g - 6 - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w = -7*w + 432 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Let y = -58.481 - 0.119. Let x = y + 59. Sort w, 0, x in ascending order.\nAnswer: w, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 6*g + 3 + 451*g**2 + 455*g**2 - 904*g**2 to x + f*g**3 + j*g**2 + h*g and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.658548cm to kilometers.\nAnswer: 0.00000658548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/239998?\nAnswer: 1\/239998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:12 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5041075 divided by -77555.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62466078 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 737 and 0.5?\nAnswer: 368.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139518 divided by -23.\nAnswer: 6066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0387 rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 73*t + 4. Calculate i(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -3\/2*j**2 + 1\/12*j**4 + 0 - 4\/3*j**3 - 25*j. What is the tens digit of z(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, -1.31, -4?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 42992, 85988, 128984?\n\"Answer: 42996*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -24*q - 144. Let a = 179 + -197. Let s be n(a). Calculate the greatest common factor of s and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3\/11 + 434*p**2\/11 + 862*p\/11 + 430\/11 = 0.\nAnswer: -215, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 16*u**2 + 2. Let q be n(16). What is the second derivative of 6*g + 6*g**2 - 2*g**q + 3*g**4 - 4*g**2 wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.2633 meters in millimeters?\nAnswer: 648263.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-1)\/4*(-3)\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 3. Let q be 0\/8 - (4 - 0). Let h be (1 - 0) + ((-4)\/q - 4). Let u(p) = -p + 2. Determine h*y(s) + 5*u(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 22*y + 31. Let q be a(-22). Let f(b) = 3*b**3 - 2*b**3 - 2*b + q*b**2 - 32*b**2 + 0*b + 397. Is f(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.0063 and -0.0099.\nAnswer: -0.09906237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b = -m + 49, 3*m = 4*b + 172. Suppose 124 = 4*f + 4*k - m, 4*f - 5*k - 188 = 0. Let p = -24 + f. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**5\/60 - b**4\/6 + b**3\/3 + 17*b**2. Let n(z) = z. What is l(x) + 3*n(x)?\nAnswer: -x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 9*d + 8. Let g be (20 - 28)*1\/((-4)\/(-5)). Let a be y(g). Calculate the remainder when 79 is divided by 1\/(((-6)\/72)\/(6\/a)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 divided by 151.\nAnswer: -262\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -z - 16 + 139, 2*z - 306 = -5*b. Let x = z + -134. Let k(d) = -d**3 + 10*d**2 - 10*d + 13. What is k(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2 - 3*d + 35. Let j be o(7). Let w = j + 279. Let u(a) = 3*a**2. Let q(r) = -r - 1. Suppose -4*i + 6*i + 2 = 0. Give i*q(l) + w*u(l).\nAnswer: -3*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 + -101. Let t(v) = -v + 10. Give t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/3 - (-54)\/(-162)*-45.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 185.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68) - sqrt(68))\/sqrt(4)*5 + ((sqrt(102)\/sqrt(12))\/sqrt(2))**2.\nAnswer: -10*sqrt(17) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473514398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 12*j + 2. Suppose 0 = 4*m - 59 - 3497. Let g = 894 - m. Calculate t(g).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -106. Suppose 5*i = -r + 2041, n*r - 115 = -2*i + 705. Suppose 3*b = 8*b - 4*x - 687, i = 3*b - x. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081 = 10*h - 1161 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -238, -780, -1292, -1780, -2250, -2708, -3160, -3612?\n\"Answer: -l**3 + 21*l**2 - 598*l + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6210 + -6205. Suppose -2*l - 5*x - 37 = 0, -5*l + 0*x = -4*x + 10. Put 3, v, l in decreasing order.\nAnswer: v, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5970960?\nAnswer: 5970963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -162515538 divided by 6\nAnswer: -27085923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 792734653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 32. Let r be b(-10). Let n = 1 + 1. Suppose r = -n*g + 50. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 1, e: 1, p: 1, m: 1, b: 2}. What is prob of sequence qpbt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-720))\/(4272\/890).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175\/1218 - 2*(-1)\/(-7)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 3*l**2 + 3*l + 3. Let j = -3 + 9. Let s be 14\/4 - 3\/j. Suppose 4*r + 5*x = -3, -3*r = s*x - 2*x + 5. Calculate y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 + 1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 6*n - 1988 = 0. What are the prime factors of n?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.29 + 0.01. Let t = 38 + -36. Let m = 1 - 2. Sort t, m, a in decreasing order.\nAnswer: t, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 16. Let c = i + -13. What are the prime factors of 6\/(c*(-1)\/22)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8305 + -23?\nAnswer: 8282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 14*h**2 - 6*h - 15. Let j = 9 - -4. Let y be l(j). Suppose -4*p + 8 = 0, -3*r + y - 14 = -5*p. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16560\/40)\/69)\/((-2)\/(-1)*-13)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 - -13 - -46596) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87031 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3845402 is divided by 46894?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105672 - 1719 = 1182*b + 62406 - 7863 for b.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 57\/718?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174367.\nAnswer: 174367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*g + 5*s, 4*s + 2745 = 3*g + 2746 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*k + 2\/7*k**2 + 4\/7.\nAnswer: 2*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.424069 * 8.\nAnswer: 3.392552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 117481.2 (b) -3\/8 (c) -0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*v + 20, -314*r + 2*v + 90 = -309*r + 83 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqd when three letters picked without replacement from effqdddfffmffffdff.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 + 7*z - 7. Let i(m) be the third derivative of -m**5\/30 - m**4\/8 + m**3\/2 + 43*m**2 + 2*m. Determine 14*i(t) + 6*s(t).\nAnswer: -6*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 13. Let n be g(5). Let p be (n\/6)\/(0 - -2). Factor -9\/4 - 3\/2*i - p*i**2.\nAnswer: -(i + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 4. Let t(s) be the first derivative of 3*s**2\/2 - 8*s + 14. Determine -5*q(w) - 3*t(w).\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15599\/137, 1\/4, -4.\nAnswer: -15599\/137, -4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 10. Let m = 13 + -12. Let z = m + 3. What is the third smallest value in z, q, 1\/6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + 3*i = -37, 137 = 3*r + 4*i. Let z = 127\/3 - r. Let p = 4\/29 - 95\/58. Which is the nearest to z? (a) p (b) -1\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905 = 7*c + 8*c. Let u = c - 118. Let s be (35 + 1)*(0 + 3\/u). Solve 0 = -j - 5*h + 11 + 13, s = 3*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(63\/(-168))\/(16\/(128\/(-5)))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 7*m**5 + 0 + 1\/21*m**7 + 50*m**2 + 145\/3*m**3 + 14\/15*m**6 + 76\/3*m**4 + 64*m. Let w(q) = 0. What is q?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185582013.\nAnswer: 3, 17, 257, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -1 - -1 - (-37 - -9 - -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.8 + -36.8. What is the nearest to 5 in -1\/10, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/51 and 70\/153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 73*t**2 - 3402*t + 266385. Calculate n(75).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 16. Determine b(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 2, m: 1, r: 4, g: 7, a: 5}. Give prob of sequence ahr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8395?\nAnswer: 5, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616444 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 9:42 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 0*s + 0*s + 0*s - 2*s + 0*s**2 + 2*s**2 + 4*s**2 + 4*s**2 - 3*s**2 + 0*s**2 + 4*s**2 - 2*s**2 + (3 - 3 - 2*s)*(-s + 3*s - 8*s).\nAnswer: 20*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, 386, 1103, 2134, 3491, 5186, 7231, 9638?\nAnswer: 12419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -8*o, 2*s + 2*o = -4. Which is the smallest value? (a) -0.1 (b) 1 (c) s (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 283.8 or -587119?\nAnswer: 283.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -90, -299, -706, -1377, -2378, -3775, -5634?\nAnswer: -8021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s**3 - s)*(0 + 9 + 1).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) - (-1)\/(15\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2276*x**2 + 3248*x wrt x?\nAnswer: 4552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*s + 646012, -3*s = -19*v + 24*v - 807515. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5*(-4 + -5 + -4*sqrt(567) + sqrt(567) + -5) + -4)*-2)**2.\nAnswer: 71280*sqrt(7) + 527721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257434755 divided by 257434755.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.26 rounded to zero dps?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3 + 3. Let m be j*-1*(-7)\/(-2). Let x = 41 + m. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1163*k**3 + 47*k**4 - 1163*k**3)*(-2*k - k + k)*(0 + 3 - 1).\nAnswer: -188*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -13. Suppose -46*i = -8*i. Calculate the remainder when -5*(86\/(-10) - i) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*y + 4, 3*m - 5 = 4*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = g - 13, -2*t - g + 6*g = 21. What is the second derivative of 5 + 2*s**5 - 5 - t*s - 5*s**5 wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 14*j**2 - 8*j + 1. Let w be h(-7). Suppose w*b - 56*b - 11 = 0. Solve -b = -6*g + 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 238\/23 - 17236\/1679. Is -1 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*15\/(-9)*(-19)\/95*-9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c101 (base 13) in base 15?\nAnswer: 19bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/80122372 and -103\/79896?\nAnswer: 480734232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372\/14 - 15\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 5*c + 3*c)*(-4*c**2 + 0*c**2 - c**2)*(-c + 3*c + c + 2*c**2).\nAnswer: 10*c**5 + 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14744274 by 6.\nAnswer: -2457379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 8:27 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 - 0.09.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 + d**2)*(-505 - 44 - 335 - 305).\nAnswer: -1189*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192577*g**2*i**3 + g*i**2 + 14*i**3 + 986*i**2 + 135 wrt g.\nAnswer: 385154*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -272*z + 4. Let o be g(1). Let m be ((-1)\/o)\/(15\/(-684)). Let f = 2\/67 - m. Which is the second smallest value? (a) 1 (b) -0.1 (c) -2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565071209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357833519 divided by -452611173?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*n - 32*n = -43*n + 4200 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4 + (1 + sqrt(2299) + sqrt(2299))*-4)**2 - ((1 + sqrt(2299) + sqrt(2299))*2 - -6*(sqrt(2299) + 1 + sqrt(2299)))).\nAnswer: -176*sqrt(19) + 147129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 8:59 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + l + 2*l**2 + 0*l**2 - l**2 + l**3 to the form r*l**2 + t*l + y + q*l**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 7*o**6\/3 - 3*o**5\/20 + 19*o**4\/12 - 7*o**2\/2 + 379*o. Find the third derivative of q(u) wrt u.\nAnswer: 1680*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*r = -t + 111, 0 = -3*t + r + 107. Let s = -1 - -4. Suppose -37 = -s*q - 10. What is the remainder when t is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/((-300)\/180)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*o)*((2*o**2 - o**3 - 2*o**2)*(-2 - 4 + 3) - o**3 + 2*o - 2*o) + 2*o**4 - o**2 + o**2.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*j + 21*j - 96*j)*(941 - 470 - 466) to the form o + w*j and give w.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/455)\/(4\/10)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, -25, -3, -56, 1 in descending order.\nAnswer: 173, 1, -3, -25, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c = 29*c + 64. Suppose 0 = -51*r + 49*r - c. Is -1 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2396359732?\nAnswer: 2, 13, 83, 151, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5 - 51048*d**4*o + 4*d**3*o + 3*d**2*o - 2*d**2 - 2*d*o + d + 164 wrt d?\nAnswer: -120*d**2 - 1225152*d*o + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3) - -54*4. Suppose 18*r - v = 21*r. Let h be (-20)\/(-6)*r\/(-780). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272\/(-102)*2\/(-8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17103, -17103, -17105, -17109, -17115, -17123, -17133?\nAnswer: -17145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 37765*-2\nAnswer: -75530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzzzgwgwwwgzw. What is prob of sequence wgg?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11705 - -11724. Calculate the greatest common factor of r and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 905 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364.685 - 368. Let d = -41 - -41.195. Let w = i + d. What is w rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + (sqrt(125)\/sqrt(5) - sqrt(25)))*-4 + -6*sqrt(625))\/((4*sqrt(480) - sqrt(480) - sqrt(30))\/sqrt(6)).\nAnswer: -34*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**3 + 2*u**2 - 4*u. Let v = 6 - 11. Let y(w) = 6*w**3 + 2*w**2 - 5*w. Let g(t) = v*b(t) + 4*y(t). Find the third derivative of g(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12481\/4 + -31157\/10. Let d be (1\/(-2))\/(6\/((-36)\/3)). What is the common denominator of s and d\/2*(400\/44 - -1)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.41 - -0.01. Let z = 10.4 - 10. Sort b, z, -1 in descending order.\nAnswer: z, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179139, -179155, -179187, -179241, -179323, -179439, -179595, -179797?\nAnswer: -180051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 55, 60, 65, 70?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -2. Let d = b - -16. Let q = d + -17. Calculate the remainder when 25 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.126 - -0.5?\nAnswer: 2.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j*j\/j**(-21))*((j\/(j*j**12*j*j))\/j)\/j assuming j is positive.\nAnswer: j**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 + 7 = 0. Suppose 3*m + 48 = -m. Let l be m\/10 + (0 - -2). Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*f**2 - 24*f**2 - 27*f**2 - 25*f**2 - 25*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1171 or -1\/197?\nAnswer: 1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/105 and -173\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*((sqrt(448) + 2 + sqrt(448))**2*-5 + 4).\nAnswer: 960*sqrt(7) + 26933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(3 + 0 - 1)*(d**2 + 0*d**2 + d**2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*s**2 + 34*s**2 - 1127*s**2.\nAnswer: -1744*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89.36368 years?\nAnswer: 1072.36416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -0.438, -1\/3, 0.2, -54 in descending order.\nAnswer: 23, 0.2, -1\/3, -0.438, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1162 + 312192.5507\nAnswer: 311030.5507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 47\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((1*sqrt(396))**2 + sqrt(396))*3 - sqrt(396)) + sqrt(396).\nAnswer: 18*sqrt(11) + 1190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-12 - -13) + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 405 = 22*l - 63. Let i(m) be the first derivative of -5\/7*m**3 + 0*m + l - 9\/14*m**2. Factor i(f).\nAnswer: -3*f*(5*f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Let q be -5 + (m - (2 - 1)). What are the prime factors of (q + -36)*(-1)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1772\/17 + 104. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19638608.\nAnswer: 2, 11, 241, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*o + 2 - 211*o - 2.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 300*o + 22448. Give j(157).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158421541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202100 - -1210120?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.56 - -10.4. Let a = g + -7.84. Let o = 56 - 53. What is the nearest to 0.1 in a, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870*p = -866*p - 72. What is the remainder when 97 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1443)\/(-555) - 2\/(-5). Solve -4*b = -u*f - 0*f + 15, -5*b = -3*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2142.9462 months to millennia.\nAnswer: 0.17857885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, 1 s, and 1 c when four letters picked without replacement from {c: 1, r: 5, s: 2, f: 2, d: 2, u: 1}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38565?\nAnswer: 3, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 6) to base 5\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 16. Let k(s) = -5 + 2 + 3 - y*s. Let b(w) be the first derivative of 3*w**2\/2 + 113. Calculate b(k(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1047.8753 and -7.7.\nAnswer: -8068.63981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7*x + 3*x + 10 = 0, 3*a = -2*x + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -34*a - 737. Let m(g) = -29*g - 737. Determine 5*f(y) - 6*m(y).\nAnswer: 4*y + 737","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9402729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 13) in base 9?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17\/846 - -9401\/109980. Find the common denominator of -35\/572 and k.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 7*a + 7. Suppose m = q - 8, 5*m - q + 3*q + 12 = 0. What is l(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let u = -3 + 0. Let s = u + -1. Which is the second smallest value? (a) s (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7600 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b5d2 - a?\nAnswer: 1b5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*r**(-15))))**32)**(-21) assuming r is positive.\nAnswer: r**8736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-1.13.\nAnswer: 15.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 7*f + 4. Let x(o) = 3*o**2 - 3*o - 2. Let g(w) = 2*q(w) + 5*x(w). Let m(b) = b + 1. Let a be m(6). Let c = 9 - a. Determine g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = v - 65. Solve 4*h + 25*k = v*k - 3, -3 = -5*h - k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-742.5956.\nAnswer: 14.851912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 17*k + 58. Suppose b + 0*a + 14 = -5*a, 0 = 2*b + 2*a + 36. Let q be m(b). Solve -3*w = -8*w + q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*p + 11, p + 16 = y - 3. Calculate the highest common factor of 1792 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171*a*f**3*i - a*f**3*s + 2*a*f**2*i**2*s - 18*a*f**2*i*s - 6*a*f**2*s - 7*a + 23*f**3*i**2*s + 3*f**2*i**2 - f*i*s wrt f.\nAnswer: -1026*a*i - 6*a*s + 138*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(44\/(-12)) - 11\/5. Let k = 5.25 - 7.25. Which is the closest to v? (a) k (b) 0 (c) 5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 36 = -18*p. Suppose 3*m + 2*q = -1, -3*q - p = 3*m - 0. Solve 3 = -m*t + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/(8\/(-128)*22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -515 - -571. What is the least common multiple of w and 357?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 2 (c) 1\/6 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.4 + 5. Let o be (-1 - 12595\/(-100)) + 2. Let v = o + -127. Which is the smallest value? (a) -4 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6 + (-99)\/2. Suppose 0*i - i = 30. Let o = i - d. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 at most 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4740 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12360)\/(-1030) + (-81)\/6 + 0\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.92 - 0.08. Let f = 8 + o. Put 1, -0.4, f in descending order.\nAnswer: f, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and -432030?\nAnswer: 432021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*a = 18, -a = t - 2*a + 1. Let c = 0 + t. Let w = 2 - -18. What is the lowest common multiple of w and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137857.244 to the nearest 10.\nAnswer: -137860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 343034 plus -0.1?\nAnswer: 343033.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2193 + -2193.21. Which is the nearest to -1? (a) v (b) 0.5 (c) -0.8 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*x + 8 = 2*m, 0 = -2*m - 4*x - 8. Suppose -4*h + 12*h - 240 = m. Suppose h = -6*w + 30. Solve -2*f - 3*u = w, 3*u = -0*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 9) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4361\/204 + 3\/68. What is the common denominator of 17\/8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3055422 minus 0.1?\nAnswer: -3055422.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*z - 6 = 20, 0 = -2*s + 2*z - 10. Let r be ((-5 - -2) + (-12)\/(-3))*s. Let p(w) = w**2 + 6*w - 1. Determine p(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-6\/37)*a*a**7\/a*a*a**(-3\/4) assuming a is positive.\nAnswer: a**(1049\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1779 divided by -1?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**21\/(n**(-3\/5)*n) assuming n is positive.\nAnswer: n**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30a0 + 4?\nAnswer: -3099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, 29, -0.22, 0, -0.5 in decreasing order.\nAnswer: 29, 4, 2\/3, 0, -0.22, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2696 + 4473. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 152 in -0.4, -2, -3\/32, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 7, -3\/2, 0.05, 9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 292*x**3 + 3*x**2 - 126*x + 105. Is u(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 3412.3.\nAnswer: 3412.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 16. Let s = g - -8.9. Let u = -0.90164 + s. Round u to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.6 - -34.5. What is the closest to 7\/3 in n, -13\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618 a factor of 3062259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*j*q**5 + 8*j*q**4 + 2*j*q**3 - 3*j*q + 3*j + q**2 - 255 wrt q.\nAnswer: 7440*j*q**2 + 192*j*q + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*-78306\nAnswer: -1566.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {k: 7, x: 9, a: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52\/14 + (-4)\/(-14). Suppose -2*y = -d*u + 8, 4*u + 4*y - 18 = 14. What is the remainder when -6*9\/(-3) - 21\/7 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -4*g - 21. Sort g, -1, -3\/5, 2\/13, 4 in increasing order.\nAnswer: -1, -3\/5, 2\/13, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-6)\/(-12) - 1\/(-2)). Sort v, 24, 5 in decreasing order.\nAnswer: 24, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2219087 is divided by 332.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/52752 and 125\/24492?\nAnswer: 685776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3164*t**5 - 269*t**4 + 3*t**3 - 2507316*t**2 - t wrt t.\nAnswer: 189840*t**2 - 6456*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61099 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -1 + 2\/(-1). Let w(v) = -v**3 + 3*v**2 + 1. Let l be w(k). Let q be (-5)\/2 - (-1)\/(-2). Which is the nearest to -0.1? (a) q (b) l (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -82269\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 3*k**2 - 4*k + 5. Calculate c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 times -15?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(490) - (sqrt(490) + 4*sqrt(490))).\nAnswer: -sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 - 256705.5?\nAnswer: -256062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 1. Let c be d(-3). Suppose 0 = -3*i + 25 + c. Let u = i + -2. Calculate the least common multiple of 22 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 55 = -2*o. Suppose -i + 123 = 2*j - 2*i, j = o*i + 75. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 130323538?\nAnswer: -130323500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 90. Let n be (-34 - 540972) + 5 + f. What is n rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 15 - 9 = 0. Let m(k) = -k**3 + 6*k**2 + 2*k - 7. Let j be m(6). Solve -y = 3*w + 3*q, 3*w + 3 = -j*q - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 2*c + 5. Suppose 0 = -2*r + 4*a, 5*r + 3*a = 2*a. Let m be l(r). Calculate the greatest common factor of m and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1846, 1849, 1852, 1855, 1858?\n\"Answer: 3*w + 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l - 0*h + h, 2*l + h = -3. Suppose v + l*v = 4*j + 2816, -5*v - 2089 = 3*j. Let w = -368 - j. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/48390 and 28\/125.\nAnswer: 1209750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656, 2626, 5918, 10538, 16492?\nAnswer: 23786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 4*j + 13. Calculate z(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12423*y - 3 + 1 + 2 + 0.\nAnswer: 12423*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**2 + 145*a - 145*a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, and 2 o when four letters picked without replacement from {a: 1, g: 1, h: 2, o: 6, d: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 23. Let x be d(11). Suppose 2*p - 1 = -c, -5*c - 4*p - 2 + x = 0. Suppose 0 - 10 = 2*y. Put y, -8\/9, c in decreasing order.\nAnswer: -8\/9, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252390 + 252402. Calculate the smallest common multiple of q and 5*4\/(-6)*-6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 46 + 6. Let w be o\/15*(-1)\/(-3). Sort w, 5, -3 in increasing order.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11328879?\nAnswer: 3, 29, 197, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 65*p = -339 - 693 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1232\/98 + (-3)\/(-7). Let m(r) = r**3 - 4*r**2 + 4*r + 7. Let x be m(5). Suppose -5*t + x = -3*t. Calculate the highest common divisor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:01 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -13) + -5 - 17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26900 or -5676121\/211?\nAnswer: -5676121\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 132 (c) 3\/5 (d) 0.5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.3 + -53.302248. What is g rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)\/w)\/w**(-2\/7))\/(w**(2\/21)\/(w*w**(-2\/15))) assuming w is positive.\nAnswer: w**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 65. Let i = 17 + -27. Let s be 1\/(1 + l\/i). Solve 4*k - k - q = 0, 0 = -s*q - 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -2112?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t + 5. Let p be j(6). Suppose -p*q = 10, -3*q + 2292346 + 207648 = 5*x. Round x to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 913*j**5 - 3*j**2 - 15 wrt j.\nAnswer: 54780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 25*k**2 - 24*k**2 + 2*k**2.\nAnswer: -46*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13824248, -27648469, -41472690, -55296911, -69121132?\nAnswer: -82945353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 83.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:27 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5067, 20213, 45449, 80769, 126167, 181637?\n\"Answer: -f**3 + 5051*f**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*s = -16, -4*p = -3*p - 2*s for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -517981832 divided by -478\nAnswer: 1083644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*w - 4*w - 4, -3*w - 3*g = 24. Suppose 0 = -10*o + 3 + 7. Let c be w + 4 - -3 - o. Sort 5, -5, c.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/74384 and -131\/2203626.\nAnswer: 17629008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729588?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24985679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31122105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 107, -3, -2 in increasing order.\nAnswer: -3, -2, -0.3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.31829 litres to millilitres.\nAnswer: 5318.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -131, -197?\n\"Answer: -66*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n + 11. Let m(f) = -5*f + 4. Let p(r) = -8*m(r) + 3*v(r). Suppose -3*i - g = -0*i - 4, -5*g = i - 6. Let h be (i + 0)*(0 + 6). Give p(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -796\/3 - -3974\/15. Put 0.013, s, 2\/5, -0.3 in descending order.\nAnswer: 2\/5, 0.013, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1504*j - 460. List the prime factors of p(-7).\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4821680, 19286786, 43395288, 77147180, 120542456, 173581110, 236263136, 308588528?\nAnswer: 390557280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010001000 - 100?\nAnswer: -111010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*a + 285*a + 289376270. What is a rounded to the nearest ten thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 1\/2*m**2 - 2*m - 2. What is v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7175 divided by 29.\nAnswer: 7175\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**6\/96 + 17*v**5\/48 + 105*v**4\/32 - 135*v**3\/8 - 8*v**2 + 8*v. Factor j(z).\nAnswer: 5*(z - 1)*(z + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwvdbvxwsxwsvss.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {k: 8, u: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 6:53 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1287 + 2184. Calculate the remainder when u is divided by 127.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n + 5. What is the units digit of s(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 3\/4, 4.6, 1, -11\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -78*v + 89. Let r(x) = -157*x + 176. Let o(g) = -3*r(g) + 5*w(g). What is the units digit of o(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95105679 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 4*l**3 + 762*l**2 + 756*l.\nAnswer: -2*l*(l - 21)*(l + 1)*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9596007 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*o**3\/7 + 31810*o**2 + 616824*o\/7.\nAnswer: -2*o*(o - 8567)*(13*o + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 23. Suppose 5*z - 5*w = 330, f*z = -0*z - 2*w + 148. Let g = z + -50. What is the lowest common multiple of g and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6*o - 2886 = 0. Let g = o - 459. Solve -g = -h - 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 37*r. Let y(u) = 12*u - 27. Let q(h) = -8*h + 14. Let z(j) = 5*q(j) + 3*y(j). What is b(z(o))?\nAnswer: -148*o - 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooonnno. What is prob of sequence noon?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370 a factor of 154658079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.890206s in hours?\nAnswer: 0.020802835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 20. Let w = y - 136. Suppose -c + 2*c = 7. Calculate the smallest common multiple of c and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61876164?\nAnswer: 2, 3, 7, 23, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 3. Let h be 3*(-4)\/(-36)*15. Suppose 4*g + 17 = h. Let n be r(g). Solve 0 = 4*x + 5*l + 25, -l - 2 = n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18*x**2 + 397*x - 395. Let v be p(21). Let h = 13\/594 + -1\/297. Let z = h + -59\/270. Which is the smallest value? (a) 1\/2 (b) v (c) z (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**2*u + 57741*d**2 + 271*d*u + 3*u - 1 wrt u.\nAnswer: -2*d**2 + 271*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 125 (b) -8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6929*c**3 + 1062*c**2 - 659203*c - 9?\nAnswer: 41574*c + 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2\/19, -5.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dininnidiininnddn. What is prob of picking 1 i, 1 d, and 1 n?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -20. Suppose 0 = -3*x - 2*g - 132, k*x + 269 - 47 = -4*g. What is the units digit of (-14)\/4*24\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5666, 5656, 5640, 5618, 5590, 5556?\nAnswer: 5516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -21*v**2 + 3*v + 2. Let s(l) = -4*l. Determine b(y) + 2*s(y).\nAnswer: -21*y**2 - 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 692446989 a multiple of 1473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -17*x - 3. Let b be l(-2). Suppose h = -5*j + 6 - 29, -b = -3*h + 5*j. Suppose 128*n = 159*n. Sort h, n, -5 in increasing order.\nAnswer: -5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17990 and 1540.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1760 and 3888940.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 16*v + 34 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -6)*6 + 285\/5. What is the second biggest value in -2, s, -0.09, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 - t - 1. Suppose 75 - 193 = -59*h. Let s(r) = 18*r**3 + 6*r**2 - 6*r - 6. Determine h*s(z) - 12*f(z).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1065291563 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (4 + -6 + -6 + 14)) + -14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 6. Let o be f(4). Let h(d) = -2*d**o - 5 + 3 + 2. Let b(g) = g. Calculate h(b(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 + 146*h**2 - 39*h + 443. What is b(-49)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -1\/2, 7, 0, -0.4, -0.00329?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10140 and 16?\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 74. What is the closest to -0.2 in 1, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*v - 45*i + 42*i, 0 = 34*v + 5*i + 166 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 + 153246*q**3 - 3678672*q**2 + 29431424*q - 78486528 = 0.\nAnswer: -76647, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let b(k) = 0*k**3 - 2*k**2 - 2*k**3 - k**2 - 1 - k. What is the units digit of b(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 3*m + 2. Let g be r(-3). Solve 12 = -s - g*l, -3*l + l = 3*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, k: 3, n: 5}. Give prob of picking 2 t and 2 n.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9087564457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90657075?\nAnswer: 3, 5, 19, 113, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68.0882 + -0.0882. Suppose -4*y + 4*f = -0*y + 12, 5*y + f - 3 = 0. What is the smallest value in 5, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -59*m - 2190. Let g be r(-37). Let z(p) = -3*p - 7 - 2 - 1. Determine z(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248781236.\nAnswer: 2, 11, 167, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2*sqrt(171)*6)\/sqrt(9).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*g = -98*g + 65. Solve -9*v = 38 - g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934 = -45*y + 124 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:40 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3285)\/1314*(-4)\/(-195)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.46 + -0.54. Let y = x + 40.983. What is y rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 + 454 = -176*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 + 474 - 474.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(68) + sqrt(68) + -2 + sqrt(68) + -2 - sqrt(68) - sqrt(68)) + 1*(1 + sqrt(68) + 5))**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 94305402.3 to the nearest one thousand.\nAnswer: 94305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1330*s + 8013 + 7236 = 4609 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, -2, 131, -2\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(4*2))\/((-24)\/480)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 296, 587, 870, 1139, 1388, 1611, 1802, 1955?\n\"Answer: -v**3 + 2*v**2 + 292*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73835007?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*d + 22, -4*d = -d - 9. Let w(r) = -5*r**2 + 0*r - 3 + 3*r + 4*r**2 + 5*r. What is the units digit of w(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2873183 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*w - 7*w - 2*z, -5*z = 2*w - 11. Let o(a) = 2*a**3 - 5*a**2 + 3*a + 1. What is the tens digit of o(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 3, -555 in ascending order.\nAnswer: -555, -33, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(-84) + (-46)\/(-42) + 188 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34214b (base 15) in base 8?\nAnswer: -11372567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/459175 and -5\/73468.\nAnswer: 1836700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/2 - 1\/2. Suppose 0 = 37*p - 36*p + 3*w - 187, -p - 2*w + 182 = 0. Suppose -182 = -l - p. Which is bigger: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + 20221?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 + 26 - 11)*36997\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 2*s**2 + 0*s**2)*(-1566*s + 12259*s - 858*s) as h + c*s**3 + m*s**2 + u*s and give c.\nAnswer: 9835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 589860 divided by 452\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-1\/7))**(-10\/11) assuming a is positive.\nAnswer: a**(10\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 14\/6)*102\/136\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**2\/2 + 2. Let v(k) = -k + 2. Let s be v(0). Let g(y) = 3*y**2 - 5*y**s + 4*y**2 - 6*y**2. Determine g(a(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/5)\/n*n**7*n*n**(4\/5)*n*n*n*(n**(7\/2)\/n)\/n assuming n is positive.\nAnswer: n**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by (-1100)\/(-70) + 4\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.5 (b) 4\/7 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 6. What is the lowest common multiple of c(5) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c8ceb (base 16) to base 8.\nAnswer: 23106353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -803 - 257. Suppose 2*w + 93 = w. Let h = s + w. List the prime factors of h.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 + 131. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (5 - 0)) + 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5510670571 and -542.46.\nAnswer: 5510670028.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/18 and 47\/242596.\nAnswer: 2183364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33762 and 22508.\nAnswer: 67524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u. Let w(n) = -10*n**2 - 6*n + 1. Give -6*r(t) - w(t).\nAnswer: 4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19761.\nAnswer: 3, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.75 rounded to 0 dps?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 561 - -311. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14376.8424 to the nearest integer.\nAnswer: -14377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311383119548 minus -0.2?\nAnswer: 1311383119548.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Suppose 4*x + x = 4*u + 177, -5*x + u = -168. Let h = x - 32. What is the highest common divisor of s and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103859 + 103887. Solve -6*m - 30\/7*m**3 + 122\/7*m**2 - g + 2\/7*m**4 = 0 for m.\nAnswer: -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100 - 11021211011011?\nAnswer: -11021211022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -3*w + 3*d - 19, 250 = 5*w - 2*d. What is the units digit of 486\/11 + w\/(-264)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43757289\/13 or -3365944?\nAnswer: -3365944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = 72*m + 5*m. Let t be (4 - 408\/100)\/2. What is the second smallest value in 2\/5, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18660 and 8997230?\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31229 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3067*g**3\/5 - 49134*g**2\/5 - 39456*g - 3968\/5 = 0.\nAnswer: -8, -62\/3067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27029292 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: Expand (-2 + 2 + 3*n)*(-2 + 4 - 4) + 3*n + 3*n - 3*n + 2*n + 0 - 3 + 4.\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -14. Let m = -2 + 11. Suppose 0 = 3*j - q*j + m. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163.84 - 0.16. Let s = 93 + x. Let d = 71.5 + s. Which is the nearest to 1? (a) -1\/5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 780 and 55064919.\nAnswer: 1101298380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 11*v + 3*c = -6, -5*v = -3*c - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 276, 251, 176, 51, -124?\n\"Answer: -25*l**2 + 50*l + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 3*v + 2. Let n be y(-4). Suppose c - t - n = 0, -c + 14 = -4*t + 4. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -3*l**4 - 3\/5*l**5 - 5*l**3 - 3*l**2 - 1 + 0*l. Factor p(s).\nAnswer: -3*s*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 298*s\/7 + 1224\/7.\nAnswer: -2*(s - 4)*(s + 153)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -24*y + 27*y - 32, 2*y + 2*a = 22. Factor 35*h**3 + y*h**3 + 3785*h**2 - 5*h**3 - 3689*h**2 + 88*h + 28 + 4*h**4.\nAnswer: 4*(h + 1)**3*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 5*a - 3*f, 3*a - 97 = -2*f + 95. Suppose -a*v + 19025 - 1851 = 0. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/35, -0.5, 16?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*16\/(-40) - 6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b**2 - 15*b**2 + 3390 - 3423 + 0*b + 5*b as k + c*b + w*b**2 and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -f + 21, 0 = 720*q - 717*q - 4*f + 56 + 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*c - 111*c + 42 = 0. Solve 0 = -p - i + 3, 0 = p + 4*i - 2*i - c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**3 - 4*n**2 + 18*n - 116. Determine h(7).\nAnswer: -3273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 20 - 14 + 35)*(-2*o - 2 + 2).\nAnswer: -100*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.11 times 0.8?\nAnswer: 23.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7875202*r**2*z**2 - r**2*z - 4*r**2 - 22*r*z + 6*r - 56*z wrt z?\nAnswer: -15750404*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 45. Let a be (t\/(-3))\/((-3)\/(-4)). What is the highest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 4*t - 5*t)*(9 - 17 - 12)*((2 - 3 - 1)*(-4 + 3 + 0) - 2 - 4 + 5).\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 20 = -4*u, -92*u + 14 = 2*y - 89*u. Solve m + 0*m = y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 10) to base 5.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*n + 3159 = -3198 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:15 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 270\/(-25)*4\/(24\/15). Does 16 divide (-6)\/n - (-106084)\/198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/23491160 and -67\/405020.\nAnswer: 23491160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -295?\nAnswer: 9\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/11, 1, -13, -0.15.\nAnswer: -13, -1\/4, -2\/11, -0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*t + t - 28*t - 23*t to the form g*t + q and give g.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, 9, -4, -22 in descending order.\nAnswer: 9, 1, 1\/3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1066*g + 15. Let j(u) = 236645*u - 3325. Determine -3*j(l) - 665*r(l).\nAnswer: -1045*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*p - 127440004 = -3*c + 324*p, 4*c + 3*p = 169920012. Round c to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1143*k**2 + 1213*k**2 - 1095*k**2 + 247*k**2 + 1186*k**2)*(k - 2*k**2 - k).\nAnswer: -5388*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7851, 15711, 23571, 31431, 39291?\nAnswer: 47151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c, -5*g + 4*c - 312 = 107. Suppose -2*t - 5*p + 91 = -175, 2*t + 4*p = 264. Let i = t - g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 10. Is p(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1834462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1512 + -1506. Calculate the remainder when 114 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.11. Let q = 0.01 - k. What is the third smallest value in q, -2, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -200 + 103 + i**3 - 26*i**2 - 27*i + 107. Let w be q(27). Solve -w*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1263 + -1240.275. Let a = i + -0.125. Let q = a - 22.721. What is q rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -5, 3 in decreasing order.\nAnswer: 4, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 15*k**2 - 5*k + 22. Let h(v) = -v**3 - 7*v**2 - 2*v + 12. Let j(y) = -5*h(y) + 3*l(y). List the prime factors of j(-13).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105771 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2575122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.155 + 0.045. Let r = 1.8 + z. Let v = r - 35.342. What is v rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*u + 5*u. Suppose 2*w = u*w - 0*w. Sort 6, w, -4, 5 in ascending order.\nAnswer: -4, w, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299894 is divided by 2399?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -321200?\nAnswer: 321131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1614 (base 9) to base 13\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 3*n - 22. Let p be s(-3). Let d be -28 + -1 - (p + -6). Are -28 and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*sqrt(136)*2)\/((1*sqrt(32))\/sqrt(4)).\nAnswer: 1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/7 + 10*b**2\/7 + 66*b\/7 + 54\/7 = 0. Calculate b.\nAnswer: -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-2)\/(-12)*-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-3)*(-3)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 1:50 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (28 - (27 - 19)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 t, and 1 r when three letters picked without replacement from cddrdtdt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgjqb. What is prob of picking 1 b and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c - 1\/4*c**4 + 3\/2*c**2 + 16 + c**3. Let b(w) = -w**2 - w. Let p = -1 + 3. Give p*f(h) + 6*b(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*g + 4*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1\/130?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 327 = -693. What is the greatest common divisor of v and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95.1171 from -103.232.\nAnswer: -198.3491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -4\/3 (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l**2 + 108*l - 61. Calculate i(6).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 3. Let c be l(3). Find the second derivative of 0*b**2 - b - b + c*b**2 + b**3 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 55 = -8*y. What is the smallest common multiple of 2 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/88 + 235\/340?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 m, and 2 j when four letters picked without replacement from vpmpmpjmjm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/520 and -29\/155454936?\nAnswer: 777274680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 4*o**2 + 19*o**2 - 31*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -13. Which is the nearest to k? (a) -0.3 (b) 3\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -28*f**3 - 2*f**2 - f + 4. What is the units digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22810237 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 14 = 2*g + 2, r = -4*g - 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503*s + 16 = g + 504*s, 0 = 3*g - 4*s - 20 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 4*v**2 + 2*v + 2. Let s be m(-4). Let r be (9\/(-4))\/(s\/(-4)). Let f = -10993 - -208869\/19. What is the nearest to 2\/5 in r, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a**3 + 2*a**2 + a + 1. Let y be q(-2). Suppose 0 = p + 3*p - 148. Let l = p - 20. Calculate the greatest common divisor of y and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1185)\/(-36) - 2\/(-24) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4297621?\nAnswer: 4297621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.006 and 667.85.\nAnswer: -4.0071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-126)\/(-70))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnsneweqqepnqe. What is prob of picking 2 q, 1 s, and 1 p?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50830370 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -a - 3. Suppose -r - 3 = 3*p + 1, -a*p - 3*r - 12 = 0. Suppose 5*h - 5*g - 229 + 59 = p, 0 = -5*g - 15. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*c - 118*c - 88*c**3 - 2*c**3 + c**3.\nAnswer: -89*c**3 + 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15651 - 5598. What are the prime factors of a?\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 3. Let v = s - -0.1. Let y = 11\/60 + 3\/20. Which is the nearest to v? (a) y (b) 3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let i = 8345.8 + -8346. What is the biggest value in b, 14, i?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 11:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 13 - 4266\/(-186)) + 1248\/27032?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) - (610\/90 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -73538.\nAnswer: -73538, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 772040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.57*0.1187\nAnswer: -0.067659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -25.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891 - 130*v + 395*v - 131*v - 131*v.\nAnswer: 3*v + 891","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6864*j - 6893*j + 58 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 2395\/6 (c) -10 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10211110212 (base 3) to base 10\nAnswer: -75434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -24*o**2 + 2*o - 2. Let t be i(2). Let h = 32 - t. Let r = -39 + h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11222311 - 230?\nAnswer: -11223201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 51 = -45. Let p(a) be the first derivative of 0*a**2 - h - 3*a - 1\/2*a**4 + 0*a**3. What is the derivative of p(t) wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4384500 rounded to the nearest ten thousand?\nAnswer: 4380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q. Let r(t) be the third derivative of -113*t**4\/12 + 759*t**2 - 2. What is h(r(d))?\nAnswer: -678*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53432078?\nAnswer: 2, 7, 563, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -10. Suppose 63*u - 12 = 60*u. Solve 4*q - 11 - j = -u*z, -4 = 4*z - 4*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/7 + 34*i**2 + 184*i - 5952\/7 = 0. What is i?\nAnswer: -8, 3, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 193*g + 279*g - 2790 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -336, -506, -676, -846, -1016?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 + (-1)\/(-4). Let u = -441 + 296. Let g = -144 - u. Which is the second smallest value? (a) g (b) 0.009 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/7 + 3428*i\/7 + 6852\/7 = 0. Calculate i.\nAnswer: -3426, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 129238867 to the power of 1\/2, to the nearest integer?\nAnswer: 11368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -17. Let r(w) = -2*w - 8. Let g be r(u). Suppose -3*o + g = j - 4, -o = j. Which is the third biggest value? (a) 0.3 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 40 = s. Suppose 0 = 4*y - s. Calculate the lowest common multiple of y and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 3. Let z(a) = -3*a - 5. Let b(l) = 5*c(l) - 3*z(l). Let n(i) be the third derivative of -i**4\/12 - i**2. What is b(n(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 133 - 137 = 0. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -15646*w - 1392462. Give k(-89).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 6) in base 13?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305574549?\nAnswer: 1305574549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 1. Let v(u) = u**2 - u. Give -g(i) + 5*v(i).\nAnswer: 5*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*i - 3306592 - 1518144 = -266*i. Is i a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3 - 6. Suppose 2*m + i = m. Suppose -10 - 2 = 4*h. Do h and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(345\/34 + (-666)\/(-1887))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 12*b + 1 + 0*b)*(-10*b**3 - b**2 - 2*b**2 + 2*b**2) to the form g*b**4 + q*b**3 + f*b**2 + a + s*b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100752 divided by 6?\nAnswer: -16792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 14327 and 15\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -d2?\nAnswer: -d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)*d*d\/(d**(-3\/5)\/d))**2)**31 assuming d is positive.\nAnswer: d**(-2604\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5.9 times -53\nAnswer: 312.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 11. Let d be l(-9). Suppose -4*c + d = p + 4*p, -c - 4 = -p. Let h(q) = 7*q - 3. List the prime factors of h(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/547 + 2743\/1094. What is the nearest to -2\/7 in a, 4, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1109, -2220, -3331, -4442?\nAnswer: -5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 - 1. Let t(d) = -2*d**2 - 1. Let b = -9 - -6. Let p(u) = b*q(u) + 5*t(u). Factor p(g).\nAnswer: 2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 15 = 9*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n + 14. Let g(k) = k + 1. Let x(o) = -6*g(o) + l(o). What is the smallest common multiple of 22 and x(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086 times 4988?\nAnswer: -428.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 + -79. Let m = z + 204. What is the lowest common multiple of m and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41305, -83482, -125659, -167836?\nAnswer: -210013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v + 18*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108219\/124 - (-1)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 65. Let c = p - 21. Let k = 15 + c. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -21, -16, -9, 0, 11, 24?\n\"Answer: m**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 3*r**2 - 6*r - 3. Let j be i(-2). Let z be ((-22)\/j)\/((-12)\/30). Put 1, z, -2\/7 in descending order.\nAnswer: z, 1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:54 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1430 or -8?\nAnswer: -1430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 0*k - 4*k)*(9*k + 0 + 2*k + 2) to w*k + v*k**2 + t and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83 and 4.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34\/(-70) - 2\/(-10). Let h = 527.72 - 528.12. Sort h, 0.02, 7\/4, d in decreasing order.\nAnswer: 7\/4, 0.02, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110355.\nAnswer: 3, 5, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 42*w - 125. Is n(27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 3, -10, 0.\nAnswer: -10, -5, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 + 3*h - 5. Let j(u) = -u - 3. Let z(l) = l**2 + 3*l + 12. Let m(k) = 4*j(k) + z(k). Calculate 3*m(f) + q(f).\nAnswer: -f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 4 - 2 - 7 - 8*n + 9*n. Suppose 3*k + 20 = -2*k. Determine a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from qmqssbqmbkqqmsqzmsq?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.012 (c) 4\/19 (d) 17\/13 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-30)\/117) - (148\/(-296) + 27\/(-6)).\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 + 2*o - o - 6*o - 5*o - 310.\nAnswer: -10*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -175, -351, -527, -703, -879, -1055?\n\"Answer: -176*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + v**3 + 2*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 622427653 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/52 - 13\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f - 5. What is the remainder when (7 - -4)\/(2\/6) - 0 is divided by j(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -5*b + 5*x - 65, 3*b - 2*x + 19 = 0. Let z = 10 + b. Let o = -0.1 - 0.1. Put z, -3, o in ascending order.\nAnswer: -3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -74. Suppose q*j + 18 = 13*j. Calculate the highest common divisor of j and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1686, 1682, 1670, 1650, 1622?\n\"Answer: -4*k**2 + 8*k + 1682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 55. Let m(d) = -10*d + 5. Calculate the least common multiple of m(x) and 7.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661028 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-204)\/(-90) - 15\/9. Let v(o) be the first derivative of -3*o**3 - 9\/4*o**4 - 3\/2*o**2 - 5 + 0*o - u*o**5. Suppose v(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2597*p - 4 + 184*p**2 + 5 + 2590*p + 1.\nAnswer: 184*p**2 - 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1862*m + 35375. Determine z(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -85. Let n = d + -82. Solve -2*c + 12 = -n*c - 2*v, 2*v = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/36 and (4\/216)\/((-2)\/762*2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6515*z**2 - 505*z**2 + 9507*z**2 + 20970*z**2)*(z**3 - 3*z**3 + z**3).\nAnswer: -23457*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 55. Suppose -10 = -2*m, 3*s + 5*m - r = m. Solve -11 = -2*i + s*y - 3, -2*i + 4*y = -12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 20, 3*g = -k + 17. Suppose -7*w - 76 = -2*t - 2*w, k*t + 2*w - 132 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, 4, -4\/5, -4.2, 0.3 in descending order.\nAnswer: 213, 4, 0.3, -4\/5, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 206, 228, 250, 272, 294?\n\"Answer: 22*c + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 76*p + 6029*p**2 - 12065*p**2 + 6034*p**2.\nAnswer: -2*p**2 + 76*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roolarrar. Give prob of sequence rl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.25 (b) 1\/10 (c) -2\/19 (d) -4\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-48)\/((-12)\/(-3))*2\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/7 + 3*i**4 + 71*i**3\/7 + 51*i**2\/7 = 0. Calculate i.\nAnswer: -17, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32770038*s - 32770038*s + 580*s**2.\nAnswer: 580*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/683 at least as big as 3\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3, -131*j + 129*j + 15 = 5*f. Let b(c) be the second derivative of j*c**2 - 11*c + 1\/3*c**3 + 0. Let r(l) = -8*l**2. Determine b(r(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(704) + -2 + sqrt(704) + (-2*-2*sqrt(704))**2 + -3 + (((sqrt(704) + 0)*5)**2 - (0 + sqrt(704))**2*3).\nAnswer: 16*sqrt(11) + 26745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3786*g + 7576*g = 3788*g, -2*g + 8 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*x**2 + 55*x - 7310 wrt x.\nAnswer: -12*x + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 8) in base 11?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7336 and 14.\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -422095 or 12\/25?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83836267?\nAnswer: 41, 2044787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23093.34235 rounded to zero dps?\nAnswer: 23093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 120607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 235 (b) -6 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7 - 2*l**2 + 0*l + 3*l - 18 + 13*l. Let f be k(7). Solve -4*d - 3*z + 12 = 0, d + f*d - 12 = 3*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - i + 5. Let a be r(0). Suppose 3*b - 2*g + a*g = 21, -3*g = -4*b - 7. Suppose o - b*o = -13. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1152*p**2 + 614236225*p - 614236225*p. Let m(t) = -3*t**2. What is m(l(n))?\nAnswer: -3981312*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -6\/13 (c) 1\/3 (d) -5.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = 0. Put 0.1, -3, h in decreasing order.\nAnswer: 0.1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53202, -106125, -159038, -211935, -264810, -317657, -370470?\nAnswer: -423243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*((578\/(-221))\/17)\/(6\/(-26)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(6075\/18) - (-4)\/54. Solve 33*y + 40 + 59 = z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157206 (base 8) in base 15?\nAnswer: b7354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478884 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 17 = j, 55961*j - 2*p - 3*p = 55957*j + 1 - 50 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 10*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231*q - 2*q**3 - q**3 - 229*q - 7 to the form s*q + n + d*q**2 + p*q**3 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-51))\/((-518)\/222 + (-5)\/(-2)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) - (-5)\/9. Let j = 0.7 - -4.3. Let t = j + -4.9. Which is the closest to t? (a) 1 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose p = 3*w - 11 + 2. Let k = 3 - w. Which is bigger: k or -2\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 2)*(49 + 4 - 53 - 21089*a**3 - 17381*a**3) in the form q + t*a**3 + r*a + c*a**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/3*(-6)\/(-4). Let h = -3 - f. What is the units digit of 0 - (-1 - (9 - h))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)\/((-1)\/(-5)). Let t(c) = 18*c**2 - c - 3. Let v be t(m). Is (-12)\/(-20) + v\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j + 0*j - 3*j)*(2 - 2 + 2) + (-5 + 3 - 1)*(-64*j + 609*j - 21*j) + j - j + j to the form n + x*j and give x.\nAnswer: -1567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 24 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*d - 3 - 107. Calculate the greatest common factor of d and 2649.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, q: 2, t: 1, j: 2}. Give prob of picking 2 j and 1 t.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjwjwjjjjjjjjw.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34264 is divided by 109.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*w + 5, -w + 4*w = -3*z + 21. Solve -w*j - 12 = -i, -i - i + 18 = -4*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258143098 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 126 = -42*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**4 + 75*u**3 - 180*u**2 - 1280*u + 3840 = 0.\nAnswer: -4, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87498939?\nAnswer: 3, 11, 2651483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*l**2 - 61*l**2 + 9*l**3 + (2*l - 3*l + 3*l)*(-2*l + 2*l - 2*l**2))*(2 + 2 - 2 + (-4 + 0 + 6)*(0 - 3 + 1) - 2 + 3 - 2).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-4))\/(1\/2). Suppose -o = w - 2, 0*w - w - 5*o - 10 = 0. Solve -3*g + g - 33 = -p*u, 0 = -w*u - 5*g + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*2 + sqrt(132))*-4 - sqrt(132))\/((1*sqrt(1200) - sqrt(1200)) + sqrt(1200)).\nAnswer: -13*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 - 159.3. Let d = u + 8.3. Is d < 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2931*q**3*t - 15647351*q**3 + 63*t with respect to t.\nAnswer: 2931*q**3 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.7, -0.4, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48926 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + (-498)\/(-12))\/((-2)\/(-4))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13996018 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/49*(-5)\/20\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.1 + -21. What is the nearest to p in 6\/7, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 11*s - 318. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 3:03 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 20. Let y = 18 + a. Suppose 3*u - y = 7. Calculate the highest common divisor of 75 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-7)\/7 + (-834 - 1). Find the common denominator of -13\/14 and (-22)\/((11\/(594\/r))\/1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 0*g + 340. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 2*i**2 - i + 103337. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/4 + 10*n**3\/3 + 9*n**2\/2 - 14*n - 1. Determine f(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 67752600 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101001210112121 (base 3) to base 4\nAnswer: -110122012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose 4*i + 18 = 58. Differentiate -i + 0*y + m*y + 0*y + 5*y with respect to y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 649*h - 287. What is the hundreds digit of u(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 8328\/144)\/((-5)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**3 - 444235*u**2 + 888485*u - 444245 = 0. Calculate u.\nAnswer: -88849, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 76?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (-1)\/((-24)\/111) and 71\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1582 = 3*m - f, m + f + 328 = -198. What is m rounded to the nearest ten?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/57 - 148\/(-6). Suppose 30*g = o*g + 330. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 32 = -y - 2*y, 4*y = 3*o + 4. Suppose 41 = y*u + 3*s, 2*s + 4 = -2*s. Suppose -3*x = -x - 38. What is the remainder when x is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(4\/3)\/(k\/k**(2\/7))**(-7))**47 assuming k is positive.\nAnswer: k**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - f**2. Let c(d) = -68 + 51 + 105 - d**2 + d**3 - 137*d**4. Let y(x) = c(x) - w(x). Differentiate y(l) wrt l.\nAnswer: -548*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-10)\/5 - 1475). Let z = -1021 - n. Is 38 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049*59.6.\nAnswer: -2.9204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 113 = o, -5*o - 195 = -4*w - w. Suppose -4*c = -3*b - 58, 3*c - c + 3*b - w = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o + 6. Let t(s) = 0*s - s**3 + o*s + 2 + 0*s - s**2. Let z be t(-2). Sort z, 0.4, -5\/6 in decreasing order.\nAnswer: z, 0.4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 9*k - 9. Let y be g(8). Let s(f) = -f**3 + 6*f**2 - 6*f + 2. Let r be s(4). Let p be r\/120 + (-1)\/3. What is the closest to -0.2 in 0, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000) - 2*sqrt(5000))\/(sqrt(490)*2) + 0.\nAnswer: -5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143087431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -3 (c) 3640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 620140740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1661 and -0.09.\nAnswer: 149.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.544611mm to kilometers.\nAnswer: 0.000000544611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (2192\/438 - 1). Let i = 731\/219 + d. Let l = 4 + -2. Is i less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3797 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 11. Let w = 12116278.000085 - 12116304. Let o = q - w. What is o rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 u when four letters picked without replacement from {u: 1, p: 1, x: 4, l: 6, n: 4, j: 2}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 18*f + 15*f - 3, 15 = 5*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {g: 1, y: 2, i: 6, c: 6, z: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 189263613 to the power of 1\/2, to the nearest integer?\nAnswer: 13757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51684 and 105492.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 8*k**2 + 4*k - 7. What is the tens digit of z(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1092*r - 14. Let z(n) = -3*n. What is z(y(h))?\nAnswer: 3276*h + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9461 (base 13) to base 15.\nAnswer: -6138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15898.1 + -714438524.\nAnswer: -714454422.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**4\/12 + 3*r**3\/2 + 9*r**2. Let l be u(3). Put -5, 5, l, 4 in descending order.\nAnswer: 5, 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 2*j**4 - 42 - 2*j**2 + 39 - 3*j**3 to o + i*j + v*j**2 + d*j**4 + h*j**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 209\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -6228617680.\nAnswer: -6228617680.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 9. Let g(w) = -19773 - w + 7*w + 19818. What is -2*g(d) + 11*r(d)?\nAnswer: -d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 116*c**2 + 2880*c - 88. Determine s(36).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/90 + (-54)\/420)*-5?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11281283+-42386.87\nAnswer: 11238896.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439694 is divided by 130.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is dc1 (base 14) in base 13?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -521 - -511. Let o(l) = -1. Let d(h) = h**3 - 8*h**2 + 7*h + 5. Let m be d(7). Let n = m - 4. Let w(y) = 2*y - 12. What is g*o(v) + n*w(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -1\/35*f**7 + 5*f**2 + 3\/2*f**3 + 0*f**5 + 0*f + 0 + 0*f**6 + 0*f**4. Differentiate d(u) with respect to u.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s + 316 = -49 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55909 and 1381751.\nAnswer: 9672257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z**3 - 5 + 5)*(-3 + z + 5 + 0) in the form q*z + l*z**3 + k*z**4 + j*z**2 + h and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5 = -5*p. What is the common denominator of (p - 1156\/1144)\/((-4)\/(-144)) and -9\/4?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8260008 minus 2?\nAnswer: 24.8260008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 6*o**3 - 668*o**2 + 296*o - 785. Factor x(u).\nAnswer: 2*(u - 74)*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.31 and 0.07651588086?\nAnswer: 2.23348411914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 2*y**4 + (-23 - 2*y + 23)*(0 + 1 - 3)*(-16*y**3 + 26*y**3 + 20*y**3) in the form a + z*y + t*y**2 + h*y**4 + x*y**3 and give h.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.877397766 to 2 decimal places.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-15)*50\/15*2. Put x, 6, -250, -4, -3 in descending order.\nAnswer: 6, x, -3, -4, -250","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 5*q + 5*q + (q**3 + q - q)*((5 - 5 - 2*q)*(-3 + 0 + 1) + 1 - 1 - 2*q).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 8) to base 7\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 - -15. Suppose -19*d + 4 = -20*d, 23 = k - 4*d. What is the remainder when z is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/2 - -6. Let f = 173 + -168. What is the closest to -2 in 8, n, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.158 + 2.128. Sort x, -0.1, 2\/61.\nAnswer: -0.1, x, 2\/61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 5938944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1433*b + 12 = -1430*b. Solve b*x - 4*s = 3*x, 5*s = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -12. Let q = -4 - v. Suppose 2*d - q = d. Solve d*j = -p - 4*p + 1, 3*j + p = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-14) - 50\/(-35). Solve -2*g + 0 + a = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 4*f**3\/3 - 5*f**2\/2 + 3*f + 7. Let s(c) = -7*c**2 + 9*c - 5. Let p(b) = 10*d(b) + 6*s(b). Let p(w) = 0. Calculate w.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -1\/60*a**5 - 3*a + 0 + 0*a**2 + 1\/36*a**4 + 0*a**3. Find d such that b(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, t: 1, e: 2, w: 1}. What is prob of sequence get?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/2 + 7*b**2 + 5*b - 39. Let u(p) = p - 2. Let l be u(4). Let v(q) = 2*q - l*q + 0*q + 3*q**2. What is v(h(r))?\nAnswer: 2700*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1541, 1637, 1879, 2339, 3089, 4201, 5747?\nAnswer: 7799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -10399\/28935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (47 + 3)\/(89\/(-2)*-2). Let q = s - -641\/1869. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161949?\nAnswer: 3, 37, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12 = -o. Let l be (-42)\/(o + (-95)\/10). Let d = -1237\/220 + l. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.16.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 66 + 258 = 0. Solve 8*v + 19 = o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 7. Let n(u) = 2*u + 4. Let l(b) = -5*n(b) - 3*p(b). Let c(x) = 5*x - 5. Determine -c(s) - 4*l(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 1344?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -3*(-4 + ((sqrt(891) + 1)**2 - sqrt(891) - sqrt(891) - sqrt(891))) + -4 + 4).\nAnswer: -13310 + 135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -7. Let h = 49.3 + -60. Let m = a - h. Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 24. Let y be r\/6*50*8040. What is y rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, n: 4}. Give prob of sequence unnu.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45959, 45957, 45955, 45953, 45951, 45949?\n\"Answer: -2*j + 45961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(4*m**3 - 3*m**3 - 3*m**3) + 2*m**3 + 3*m - 3*m - 5*m**3 + m**3 + 3*m**3 - 4*m**2 - 2*m**3 + 4*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**2 - 1635*u + 43210 = 0.\nAnswer: 29, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*d + 31 = 0, -2*c + 35 = 3*c - 5*d. Let u = 18 - c. Suppose u = 4*g - 9. Calculate the highest common divisor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7))\/(s*s\/s**(-41)*s))\/((s\/s**(-16))\/s*s\/((s\/((s*s**26\/s*s)\/s)*s)\/s)) assuming s is positive.\nAnswer: s**(-597\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 481 + -480.5. Let v(w) = w + 7. Let s be v(-5). Let j = -4 - s. Which is the second smallest value? (a) r (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/72954661 or -1?\nAnswer: 4\/72954661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/6 + 12*i. Let x(d) = 20*d - 2. Let o(b) = 43*b - 5. Let y(c) = 2*o(c) - 5*x(c). Calculate y(s(r)).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2789\/5 - -558. Which is the nearest to 1.4? (a) 3\/2 (b) 3 (c) f (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pllpllpappp. Give prob of picking 2 a and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -57921 (base 11) to base 13\nAnswer: -2c0b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**6\/3 - 11*r**5\/4 + 3*r**3 + 77*r**2\/2 + 15*r - 202. What is the second derivative of q(y) wrt y?\nAnswer: 120*y**2 - 330*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34976 - -34976.1. Let h = -2.2 + 2. Which is the nearest to w? (a) 0 (b) h (c) -29 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21747567 a multiple of 2515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y - 7 - 6 = -13. Let w(u) be the third derivative of y - 3*u**3 + 0*u - 1\/30*u**5 - 1\/2*u**4 + 11*u**2. Factor w(h).\nAnswer: -2*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 112.5. Let m = 2.9 - 3. Let l = -0.04 - -0.04. Which is the nearest to l? (a) m (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 1 p when three letters picked without replacement from {p: 7, k: 2, l: 2}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.11 rounded to one decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168*m**4 - 2*m**3 + 503*m - 1.\nAnswer: -2016*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 13 + -2 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:49 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s + 5*s**3 - 8*s)*(0*s**2 - 2*s**2 + s**2).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 772150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3622 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55662292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -19 (c) 12\/7 (d) -0.4 (e) 15.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 777989864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17313663 divided by -17313663?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15074427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 8*u + 17. Let c be x(6). Suppose b = -c*w - 9, w - b - 11 = 2*b. What is the units digit of (-2 + 0 - w)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*t = -64*t - 4, 3*i - 22228 = -t. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8 and -113\/13446?\nAnswer: 53784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 293*n + 578 wrt n.\nAnswer: 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 3*v + 4. Let i = -518 - -514. Determine j(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 518, 2118, 4784, 8516, 13314, 19178, 26108?\n\"Answer: 533*w**2 + w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from mopempupuppeeeupeuu?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1413 (base 10) to base 13.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g - 1905. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-8)\/(18\/(-135)). Suppose 3*k + 3 = l. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 - 10322328*a**4 + 83301*a + 37 wrt a?\nAnswer: 20*a**3 - 123867936*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*m + 92 = 7*l, 3*l - 97 = 4*m. Let q be 38\/9 - 6\/l. Let v = -135\/11 + 281\/22. Which is the nearest to -1\/4? (a) 0.4 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 9*m**2 + 14*m + 3. Let z be x(-7). Solve -3*d = 4*j - d - 22, d = z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 3*x - 33. Let s be w(-7). Let p(q) = 9*q**2 + 6*q + 1. Let g(l) = 4*l**2 + 3*l. Let c(b) = -7*g(b) + 3*p(b). Determine c(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3880851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-19 + (-1887)\/(-74)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*k + 2828 = -3980 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 175612 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104, 442, 1008, 1802?\n\"Answer: 114*a**2 - 4*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 72*y**2 + 6*y - 34. Give g(-36).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 13\/((-4)\/(-4)). Suppose 0 = -5*c - 15, -k*c - 54 = -3*r - 8*c. What is the greatest common divisor of 105 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8169296413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25256411*t**3 - 72*t**2 + 369168*t wrt t.\nAnswer: 151538466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1411)\/83 - (-202)\/12 - 1\/(-6). Let k = -0.7 + 3.7. Let h = k + -2.8. Which is the nearest to n? (a) -5 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31712 by 4.\nAnswer: -7928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-235)\/(-36) + (-52)\/(-234))\/(49\/(-28)).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-60)\/18 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*i - 50. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2912560 and 65448.\nAnswer: 2978008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 + (-54)\/168. Let v = 13 + -13. What is the biggest value in v, -4, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 192*a**3 - 2*a**2 + a. Is u(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/2)*t)\/t*t)\/(t*t\/t**(-10))*(t\/(t**(-25)*t*t))\/(t*t\/((t**(-14\/3)\/t)\/t)*t) assuming t is positive.\nAnswer: t**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2352)\/40*(-2 + 16\/3). Is -197 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a - 76 = -45*a + 666 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a71 (base 12) to base 3.\nAnswer: 20211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 0.5 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Let h be ((-2)\/20)\/(t\/4). What is the nearest to 0 in 3, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 329.3866 * 71\nAnswer: 23386.4486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = v, 3*v + 3*b + b = -1. Let s = 6157\/3103 - 57\/29. Is s <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -1\/6*o**3 - 6*o**2 - 13 - 1\/2*o**4 + 0*o. Let a(n) be the second derivative of r(n). What is a(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 134. What is the second derivative of -90*s**5 + 37*s**k + 524*s**2 - 524*s**2 - 50*s wrt s?\nAnswer: -1060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1348 = 2*g + 2*k, -3*g + 11 = 5*k + 2041. Let h = 2403 + g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33712 * 0.0235.\nAnswer: 0.00792232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m**2 + 875*m + 13751. Give j(93).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c - 174. Give v(20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*q - 3*l, q + 4*l = -2*q - 21. Let p be (q + (-188)\/(-28))*-35. Solve 2 + p = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511559 is divided by 3628.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 50. Let a(n) = 1. Calculate -a(w) + k(w).\nAnswer: 2*w - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18270 by -14.\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13655740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-7 - (325 + -1)). Let r = 329 - v. Sort r, -3, 11.\nAnswer: r, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 988 and 0.2?\nAnswer: 197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 405, -184739.\nAnswer: -184739, -4, -2, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-1))\/(-7 + (5 - -3)). Solve 5*a - 5*i + 5 = g, 0 = -a + 6*a + i + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 4*d + 8. Let l be g(-5). Find the second derivative of 37*p + 27*p**l + 33*p - 40*p wrt p.\nAnswer: 162*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opq when three letters picked without replacement from ooooqopoqo.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 414156*z**3 - 224*z + 1059.\nAnswer: 2484936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 60 - -4 - -28.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 757896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3 = -w - w, z = -4*w + 3. Sort 5, w, 4 in ascending order.\nAnswer: w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8902 + 8901.9994267. What is m rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 421, -1\/3, -4?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 9.001206. Round k to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1543*y + 773*y + 8 = -5*n - 769*y, -3*y - 4 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1 - 5. Let b = 5.47 + -366.47. Let s = b - -362. What is the third smallest value in s, v, -0.2, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-2\/5)\/(z\/(z\/z**13)*z**(-15)\/z) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11126549*g**4 - 7141363*g?\nAnswer: 133518588*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310470069?\nAnswer: 3, 7, 13, 87481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/36 + a**3\/9 + a**2\/6 - 8*a. Factor x(q).\nAnswer: (q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 108 - 80\/3*u**3 + 0*u**4 + 0*u - 147\/5*u**5 + 0*u**2. Find the third derivative of d(l) wrt l.\nAnswer: -3528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19809 - 533\nAnswer: 19276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/225*(-2)\/(-7))\/(35\/(-63)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = 4*t + 36, 4*t - 4*n + 60 = 0. Let k = t - -16. Find the second derivative of 10*d**k + 5*d - 2 - 2 + 4 wrt d.\nAnswer: 200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-14)*442\/85?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l\/l**(-1)))\/(l\/l**(-1\/3)*l*l)**(7\/2) assuming l is positive.\nAnswer: l**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13155 (base 7) to base 2.\nAnswer: 110110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1)*f*f)\/f*f**(1\/13))\/((f\/f**(-1\/6))\/f*f**(1\/16)))**18 assuming f is positive.\nAnswer: f**(-285\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*u + 4*u = -93, 0 = 5*i - 4*u - 481. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 6*m**2 - m - 109072*m**4 + 109074*m**4 + m**3 + 13 to i*m**4 + g*m + d*m**2 + u + r*m**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -53. Let z(q) be the third derivative of 1\/3*q**3 + 2*q**2 - 1 + 5\/12*q**4 + 0*q. Let u(i) = i. Calculate c*z(k) + 8*u(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128515*z**4 + 330*z**2 + 32 wrt z.\nAnswer: 3084360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 + 5\/12*b**4 + 1\/20*b**5 - b + 2\/3*b**3 + 3*b**2. Give d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14162921.8 to the nearest 10000.\nAnswer: -14160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 301*x**4\/24 + 7*x**3\/2 + 37*x**2. Let n be w(-2). List the prime factors of (6 + 0)*n\/(-21) + 0.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(1\/(-8)). Suppose 0*f - x*f + 8 = 0. Suppose -f*h + 10 = -2. Calculate the greatest common divisor of h and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141151 at most -141134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -41.563 less than 0.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104931*k + 105024*k - 3069 = 0 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 490*v - 91 + 91 - 14*v to the form s + z*v and give z.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 12*r - 2*t - 12, -39 = 10*t - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -290393 (base 12) to base 11\nAnswer: -428584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-2 + (-11 + (4 - 4) - -102) + 13).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22284 and 27406844.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**3 + 2*f**2 + 9 + 5*f - 13*f**2 + 7*f**3 + 21*f**2. Suppose -3*y + 34 = -4*d + 6, 3*d = -2*y - 21. Is s(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + t**2 - 18*t - 1. Let d(g) = -2*g**3 - 2*g**2 + 19*g + 3. What is 2*d(f) + 3*p(f)?\nAnswer: 2*f**3 - f**2 - 16*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6.8. What is the biggest value in -1\/2, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 4. Let a(o) = o - 1. Let m(q) = 3*a(q) + x(q). Let s be m(5). Is s\/(-2 + -1)*-35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11131 and 0.06772.\nAnswer: 11131.06772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3053, -10289, -22361, -39269, -61013, -87593, -119009?\n\"Answer: -2418*u**2 + 18*u - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-9)*(1836\/17)\/(-18).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5292\/60)\/7 + 98\/70?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 5*h**2 - 5*h - 6. Let v be l(-4). List the prime factors of 22 + v + 16\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -191971*b**2 + 9*b - 9. Let w be v(1). Is w\/(-65) + 8\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321130 at most as big as 2321131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 7159.7?\nAnswer: 7154.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 3*d + 1. Let r be f(4). Suppose r*a - a - x - 117 = 0, 13 = a + 3*x. Calculate the lowest common multiple of a and 9.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 21*i - 43. What is b(-19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 12*b**2 - 1051 - 1047 + 9*b + 3148 - 1046. Let n(t) = -t - 1. Give -a(q) - 4*n(q).\nAnswer: 8*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 - 7*d**3 + 0*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 14574.\nAnswer: -14577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 45*z + 22. Calculate v(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h + 11. Let s be u(8). Suppose 0 = -2*b - 15 + s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11951 + 24664. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24351144 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 19646.\nAnswer: 19646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 3*t + 2. Let p be h(3). Which is bigger: p or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5752 or 5693?\nAnswer: 5693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 7:23 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315.8971l to millilitres.\nAnswer: 315897.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19506 divided by 3?\nAnswer: 6502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4363663 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-24))\/(1617\/126).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 4*z - 3*q + 56, -z - 27 = -2*q. Let r = z + -9. What are the prime factors of (-10)\/3*48\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7))**(-3\/29)*y**(3\/8)*y**(-18) assuming y is positive.\nAnswer: y**(-28599\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.59\nAnswer: -0.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20754\/270 - 13) + 2\/15. Which is the third biggest value? (a) -26 (b) 2\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14)*(n*n\/((n*n*n**(-5)*n)\/n)*n)\/n*n*n**40*n*n**(-1\/5) assuming n is positive.\nAnswer: n**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -161*y - 17. What are the prime factors of j(-4)?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(7) + 2))**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/6*27\/42. Let h = 1\/7 - n. Factor 3\/4*i - h*i**2 - 1\/2.\nAnswer: -(i - 2)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzlllzllzzll. Give prob of picking 1 z and 2 l.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1374 - 1374.00001253. What is l rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(2 + 15\/(-2)). Let z = -9 + a. Solve -3*k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 18*p**2 + p + 16. Let g be j(-18). Let h(l) = l + 3. Suppose 2 = n + n. Let s(r) = 1. Let z(c) = n*h(c) - s(c). What is z(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 18*h**3 + h**2 - 2*h - 2. Let n be s(-2). Let q = 1379\/10 + n. Suppose 21 = -3*l + 27. What is the smallest value in 5, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-3)*(-5)\/(-30). Solve -2*k + j = 0, 3*r + 18 = -k + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 95 + -92 + 0\/(-1). Solve 6 = -2*b - k*g, -g - 6 = 5*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14145 = 30*t - 45*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 588*p + 14075 = 0 for p.\nAnswer: 25, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 32268.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 5*l + 4. Let r be q(5). Let a(p) = 11*p + 6. Let v be a(r). Suppose -2*k + 26 = 6. Calculate the highest common factor of v and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 61 = -0*f + j, -5*f + j + 83 = 0. Suppose -k = -3*u - f, 2*u + 93 = 10*k - 5*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 - 11*z + 21 - 10 + 28 + 2*z as f*z + o and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q + 0 - 2*q + 1 - 1 + (3*q - 2*q - 3*q)*(2 + 2 - 3) + 2 + 2*q - 2 + q - 1 + 1)*(608*q - 246*q**2 - 2 - 608*q).\nAnswer: 738*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 94\/141 + 14\/(-30). Suppose 2\/5 - 1\/5*g**2 - v*g = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 1179 in descending order.\nAnswer: 1179, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -19. Let k = 2\/533 - 10137\/2665. What is the common denominator of k and (c\/4)\/(1\/(-98))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -4*o. Suppose -o*r + 36 = 4*b, 5*r - 16 = -0*r + b. Suppose -5 = -i - r*x - 0, -x - 67 = -3*i. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*m**2 - 585*m**3 + 587*m**3 + 14*m**2 + (-3*m**2 - m**2 + 0*m**2)*(7*m + 0*m - 3*m).\nAnswer: -14*m**3 + 89*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 plus -643232534?\nAnswer: -643231907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.7, 7.384, 0.2, -3, -184?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115858?\nAnswer: 2, 131, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 + -5.02. Round k to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1041 and -47\/48096?\nAnswer: 16689312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067 = 976*a - 287*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.154 - -5.296. Let o = 0.45 - y. Let x = -8 - -9. Which is the third biggest value? (a) o (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydoyqqdqyhyqqq. What is prob of sequence dyyq?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -85. Find the second derivative of -20*w**2 - a*w + 6*w**2 + 14*w**2 + 19*w**5 wrt w.\nAnswer: 380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsssxsxxssssssssxs. Give prob of picking 1 x and 2 s.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l**3 - 1. Let a be z(-1). Let u = a - 21. Sort 4, u, -2 in ascending order.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1789\/1194 - -1\/597. Is w != -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + s**3 + 125*s**4 - 3*s**2 + 71*s**4 + 8*s**4 + s**2 in the form r*s + i*s**4 + a*s**2 + u*s**3 + w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -488567807*i**3*j**2 - 2277729*i*j**2 - 23*j**2 wrt i?\nAnswer: -2931406842*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1048\/3162 + 127\/(1240155\/210).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-3)\/(-6))\/((-3)\/12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1307, -1, -3 in increasing order.\nAnswer: -1307, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170 - -512. Let s = 382 - n. Let b = s + 719. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170411.937 + -2823\nAnswer: 167588.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/11*3\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9353523 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 27. Suppose 9*q - 12*q + 926 = 2*f, 5*f + 1273 = a*q. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.64 + 0.7. Let f = -3.94 - d. Let x = -4.5 - f. What is the third biggest value in 1\/4, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 23. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 36. What is the greatest common factor of 210 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/12 + 1 + 52 + -56.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/12*(4 + 2). Suppose -3 = m*x + x. Is (2*1)\/(x\/(-41)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77423 + -23302. 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 the value of (1 - -2) + (-5 + 3 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 186. Suppose y - 3*y = -b. Solve h - 6*h + 1 = 3*d, -y*h = 2*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -2\/5 (b) -0.2 (c) 9 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0378187772 rounded to four decimal places?\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.96 + -1.06. Which is the closest to p? (a) 4 (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + p**2 - 424 + 424. Let u(c) = 5*c**2 - c**2 - c**2. Determine i(u(l)).\nAnswer: 27*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*a**3*u**3 + 137*a**2 - 2*u**3 wrt a.\nAnswer: -48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -796*k*t + 18*k + 27 wrt t.\nAnswer: -796*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -80313 times -0.3?\nAnswer: 24093.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709 - 33 = -q + 3*a, -4*q - 5*a = -3036. List the prime factors of q.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 21*u + 531, -8628*u = 4*v - 8624*u + 124 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 182920*a**2 + 1654916100*a - 331428258000.\nAnswer: 5*(a - 196)*(a + 18390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p**2 + 41. Give y(6).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -221696130 to the nearest one hundred thousand.\nAnswer: -221700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 7*c**2 + 11*c - 19. What is h(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-608)\/204 - -3). Let c = 70 - 117. Let d = t + c. Solve -d*g + 7*g + 15 = 3*x, -9 = 3*x + 5*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (18 + (-26 - -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*i - 22 = -2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13067 + -13080. Let j(r) = -r**3 - 12*r**2 + 16*r + 44. Give j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -10. Does 32 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (8\/(-11))\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2101 - -2?\nAnswer: -2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/210*4\/6*6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.06 - 0.06. Let g(n) = -5*n - 12. Let f be g(-2). Which is the third smallest value? (a) f (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 519.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -56. Let y = -11 - -8. What is the nearest to 0.1 in m, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*s - 15 = 0, -6 = -5*m + s - 11. Suppose m = 97*p - 93*p - 88. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-1)\/17) + -1. Let n be (-30)\/(-9)*u\/(-10). Solve s + s = -n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from mmmmmmmiimmimmimmmmm.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/12 - 17*u**2. Let x(o) = -8*o**2. Determine x(p(i)).\nAnswer: -200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 19616*q**2 - 152488012*q - 198293749528.\nAnswer: 4*(q - 9478)*(q + 2287)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17118 divided by -8559.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514 + -900. Let j = n - -274. Let i = j - -210. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1326 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 140 (b) -2\/7 (c) 19.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Calculate the remainder when 13 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2*d**3\/3 + 26*d + 28. Let m be r(12). Let g = m - 156. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**5\/270 - a**3\/27 - 21*a**2. Factor k(w).\nAnswer: 2*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3)\/s*s*(s**(-31)*s)\/s*s)**(6\/29))**(-12) assuming s is positive.\nAnswer: s**(2304\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -8 + -2 + 3 + -32 + 14\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-490)\/(-84) - 1\/(-6). Factor 15*x**3 - 4*x + x**4 + x**3 + 2*x**2 - n*x**4 + 15*x**4.\nAnswer: 2*x*(x + 1)**2*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*p - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.419 - 0.4164. Let k = g - 149.5026. What is k rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26338\/52 + (-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12558 by -138.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t. Let h(l) = l**2 + 6*l + 5. Let z be h(-6). Let a(w) = -5*w + z*w - 9*w**2. Give d(a(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 551*l**2 + 2*l - 2. Let y(i) = -i**2 + 2*i + 1. Let w be y(0). Is p(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o\/((o*o\/o**(-1\/8))\/o)*o)\/o)\/o*o)\/(o*o\/(o*o**(-5\/6))))\/(o\/(o*(o*o**4)\/o)*o)**(-6\/7) assuming o is positive.\nAnswer: o**(-593\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/447 or 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 + 47 + 73)*(-2 + 2 - 2)*(-2*p - 2 + 2) in the form y + a*p and give a.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38704, 38719, 38758, 38827, 38932, 39079, 39274?\nAnswer: 39523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*k + 462 = 158*k. Suppose 2*i + 318 = -3*i + y, -i + y - k = 0. Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.95 + 24.25. What is the closest to y in 0, 3\/5, 0.3, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291388300.\nAnswer: 2, 5, 7, 59467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/17, -0.3, 13, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -10.12 (c) 20 (d) -74 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/((-325)\/(-6500))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/5*(460\/((-161)\/7))\/(-42))\/(-6)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13918, 13916, 13912, 13906, 13898, 13888?\n\"Answer: -w**2 + w + 13918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2376\/4455*300\/(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 7. Let p be 8 - 9\/(4 - 1). Let h be v(p). Solve h*q = n + 10 - 2, -31 = -5*q - 3*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -66770, -133542, -200314, -267086, -333858?\n\"Answer: -66772*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 3b9?\nAnswer: -3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2040\/(-200))\/((-90)\/(-150)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 57. Suppose -8 = a + j*a. Let z be 3 + (a\/3)\/(26\/117). Solve z*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ydituuf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26.00402 millennia?\nAnswer: 26004.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -83, -4, 17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - 2.83. Let r be ((-1)\/2)\/((-7)\/42). Let h be 16\/3*r\/36. Which is the third biggest value? (a) q (b) -9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-6)\/8*-2. Suppose 2 + 1 = -o, -2*o = -5*r - 14. Put r, u, 1 in decreasing order.\nAnswer: u, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/8 and -67\/310?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1612 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a factor of 3617601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-12)\/(-8))*3. Suppose -3*c + 1786 = -3*l - 4298, -5*l = -u*c + 4044. Does 37 divide c\/10 - (-4)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19990770.73 - -19990858.9299523. Let a = -88.2 + j. Round a to 6 decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22796820.\nAnswer: 2, 3, 5, 41, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3845 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 55*v**3 - 1380*v**2.\nAnswer: 5*v**2*(v - 23)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 - z)*(6 + 4 - 6) + (0*z + 0*z + z)*(-3 + 8 + 1))*(-2*z**3 + 4*z**3 - z**3) to the form n + r*z**2 + p*z + q*z**3 + i*z**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + 184. Let x = r + -311. Calculate the remainder when 41 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362 by 382.\nAnswer: -181\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31899967741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16624409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l + 10 = 0, -2*s = 3*l - 27. Calculate the lowest common multiple of (-2 + 2\/(-5))*(-1020)\/153 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -22.4. Which is the nearest to 0.1? (a) 2 (b) 2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1410 (base 8) to base 13\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 733739 to the power of 1\/2, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (127 - -3)\/1 - -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 21*k + 55. Let f be s(18). Solve 5*v = -3*o + 13 + f, -2*v + 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-6\/7)*w)\/w)**(-6)*(w**(-2\/43))**(-8) assuming w is positive.\nAnswer: w**(-5048\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.2. Let a = b + -0.3. Suppose -2*r + 3*g = 10, -3*r - 8*g = -3*g + 15. What is the nearest to 1\/4 in r, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -30. Is h less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 622 divided by -3.\nAnswer: -622\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 1539*d - 24137. Give g(400).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 2*w**2 - 11*w - 2. Calculate q(5).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 2*x - 13 + x**2 - x**4 + 38 to k + i*x + f*x**3 + w*x**2 + c*x**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/5)*u*u)**(6\/7)\/(u\/u**0)**(-50) assuming u is positive.\nAnswer: u**(1858\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7506 and 137588733?\nAnswer: 275177466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h + 2. Let y be r(0). Suppose 0 = -y*v - 5*d + 17, 4*v = 2*v + 5*d + 27. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -3787, 26, 4 in ascending order.\nAnswer: -3787, 3, 4, 18, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from xxiiixcxcxi?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (14664\/2256)\/((-13)\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17111\/314 - -109\/2. Let l = a - 5191\/1570. Calculate the common denominator of 19\/24 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -44 + 16. Is 2 a factor of (30\/o - 3)*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000010001 + 1000011?\nAnswer: 1010001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 58396*z.\nAnswer: 4*z*(z - 14599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3427 + 3437. Suppose 2*w = -0*w. Let j(o) = -o**2 + 2 + 10*o - o + w*o**2 + 10. What is j(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 19*l = -18. Solve 3*t + 0*t + 5*y = l, -5*t + 10 = 2*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5312 = 1685*d - 1621*d. Solve d*p + 298 + 34 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jopo when four letters picked without replacement from jzlplplpooooop?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*s - 112*s - 7347 = -310*s for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 628 + -623. What is o in 0*o + 1\/3*o**4 + 0 - 1\/3*o**2 - 1\/3*o**3 + 1\/3*o**i = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 plus -34.55?\nAnswer: 19.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/270)\/(1*(-2)\/(-3)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-135)*-1895 + (-2)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*f - 422 - 136*f - 293*f + 422.\nAnswer: -93*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 67*d + 114 + 284 = 0, 2*y - 14*d = -10*d - 28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 203 - 198 - 2*a**2 + 27*a**2 + 48*a**3. Let j(t) = -47*t**3 - 25*t**2 - 4. Let i(q) = 5*j(q) + 4*p(q). Find the third derivative of i(l) wrt l.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24230.999996716 + 24231. Round p to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0*n**2 + 8*n + 3 - n**2 + 2. Let h be f(8). Let o(g) = g**2 + 0*g**2 - 2*g**2 + 4*g + 142 - 72 - 65. What is o(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 7*i. What is w(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2, 4*l + w = -0*l + 29. Which is smaller: l or 58\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {i: 1, w: 1, p: 2, l: 2, u: 1, h: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(((-832)\/(-325))\/(-16)). Put -1, -0.25, -0.3, d in decreasing order.\nAnswer: -0.25, -0.3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 - 422 - (4 - (5 + 30))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k - 1. Let t = 1 - 4. Let l be b(t). Solve 2*v - 6*v - l = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 171 = 31*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3163000, -3163003, -3163006, -3163009?\n\"Answer: -3*f - 3162997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdggjjggg. What is prob of sequence jj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8620 * 186\nAnswer: -1603320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((2 - (2 + -15)) + (244 - 254))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 8*k**5 - 66*k**4 + 160*k**3 - 36*k**2 - 216*k + 54 = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67405672818 - 6*o - 67405672818.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u + 161*u**3 - 32*u - 182*u**3 to the form r*u**2 + z + q*u + b*u**3 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -12*b**2 - 7*b - 6. What is l(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31150313 and 9?\nAnswer: 280352817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94196657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(5 + -4) + (215993 - -5). Let x be m\/(-6) - 8\/(-12). What is x rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3021997?\nAnswer: 11, 43, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zooovvzo. What is prob of sequence ozv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 7*n + 32. Let r be (-2 - n)*6\/4. Solve -r*o - 3 = -4*b - 9, 8 = 4*o - 4*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253494907 to the power of 1\/3, to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9542 = u + 8*w, -47423 = 21*u - 26*u + w. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320059100 rounded to the nearest 100000?\nAnswer: -320100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/11 - 193\/77. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 1 - 5*m**4 + 0 + 3*m**4 to the form j*m**4 + y + a*m**2 + i*m + w*m**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-4)\/8*0. Suppose j = -12*d + 10*d + 18. Suppose 11*h - 50 = 6*h. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 8 = 0. Suppose 0 = 3*g + t*g - 10. Suppose 2*f - 12 = -2*j, g*j - f - 14 = -2*j. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218914, -432078, -645240, -858400, -1071558, -1284714?\nAnswer: -1497868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 167566?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 g, and 1 t when four letters picked without replacement from {g: 9, q: 1, t: 4}?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.3 and -1625378784?\nAnswer: 1625378785.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*c - 3. Let m = 9 - 15. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -30\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d - 29. Is c(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -3088353?\nAnswer: 3088352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**3 - 1\/8*b**4 + 0*b + b**2 + 0. Let z(h) = 5467 - 5467 + h**2. Determine s(z(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -404a - 6a?\nAnswer: -4109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2517\/310 - -194\/93. Find the common denominator of a and 16\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*m + 144, 4*m = -2*x + 31 + 37. Suppose 4*z + 78 = z + 5*c, z - 3*c = -x. Let p = z - -41. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2 - 1. Let w be l(1). Let z be (5\/2)\/((-9)\/54). Let j be 1\/(2 - 3)*30\/z. Solve -6 = -2*o, j*h + h + o = -w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3871*y - 1323*y - 1181*y + 2 - 1125*y + 3.\nAnswer: 242*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -20*v - 225. Which is the closest to 2? (a) v (b) -4 (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4006057 - 2?\nAnswer: 4006055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, -0.2, 107, -0.1 in decreasing order.\nAnswer: 107, 3, 0.4, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -33.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.12 or 372\/2377?\nAnswer: 372\/2377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -2.4. Put 2\/7, w, -1\/5, 0.4 in ascending order.\nAnswer: w, -1\/5, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 995.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -22. Let c = -20.9999904 - x. Round c to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h + 3. Let b = 4 - 12. What is the tens digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -13*f - 5. Let h(t) = 6*t**3 - t**2. Give h(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n + 11. Is 17 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1288 by 336.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 10\/(-2))\/(2\/12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11)*1)*2.\nAnswer: 2*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 22*b**2 + 49*b - 9. Let v be w(24). Put 4, v, 1, 3 in descending order.\nAnswer: v, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-75)*205\/(-123).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -72*l**2. Let m(b) = -32*b + 238. Let w(o) = 33*o - 198. Let h(k) = -5*m(k) - 6*w(k). Determine t(h(g)).\nAnswer: -103968*g**2 - 10944*g - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17\/489, 11\/4, 0.2?\nAnswer: -17\/489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/48112 and 121\/10.\nAnswer: 240560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.4497324586 rounded to 4 dps?\nAnswer: 0.4497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-56) + (-12)\/70)*5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 13*c**2 + 16*c - 206. Let m be t(-15). Let k(h) = 4*h**3 - h**2 - 4*h. Let o(l) = -5*l**3 + l**2 + 5*l. Give m*k(p) + 3*o(p).\nAnswer: p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -25*g + 128. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*p - 38, -h = -p + 2*p - 38. Let o = 90 - h. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosooooosoos. Give prob of picking 3 o.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 179*c**3 - 60*c**2 - 2. Let j(o) = -356*o**3 + 118*o**2 + 5. Let p(l) = 2*j(l) + 5*k(l). What is the third derivative of p(h) wrt h?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200346, 200419, 200612, 200985, 201598?\nAnswer: 202511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 8*c - 381. What is the remainder when c is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 18*f = -5*x - 15, -4*f - 3 = x. Suppose -5*n - 231 = 11*h - 10*h, f = -5*h - n - 1131. What is h rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692970990 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*h + 64428 = -223*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(18 + 963\/(-54)). Let d be 0 + (-3*3)\/(-3). Which is the nearest to -1? (a) -0.2 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/4 + 471*u**3\/2 - 215149*u**2\/4 - 787983*u - 2798929.\nAnswer: -(u - 478)**2*(u + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7*-3 - (-23479)\/1113\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i + 170 - 170)*((2*i + i - i)*(-3 + 1 + 1) - 5*i - 4*i - 3*i).\nAnswer: -252*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 3*m + 7. Let w be n(-5). Let r be (490\/49)\/(1\/9) + 1. Let y = w + r. Calculate the remainder when y is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - 1692\/168)\/(-1))\/((-3)\/18).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4 + 5*c - 4. Let d(q) = 3*q. Let x(i) = 5*i. Let s(g) = -7*d(g) + 4*x(g). Give v(s(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 2. Let y(g) = g**2 + 8*g - 26. Let i(v) = -3*f(v) + y(v). Is i(7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(190)*1)\/(1*sqrt(10)*-3) - (3 + 0 + -2*sqrt(19))*-3).\nAnswer: -20*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/2 + -5. Let u = d + 25\/46. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7286943, 14573874, 21860795, 29147706?\n\"Answer: -5*n**2 + 7286946*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3 - l + 0 + 1 + l**2. Let h be i(3). Let t be 1\/(-3) - h\/(-12). Put 2, -1\/2, t in ascending order.\nAnswer: -1\/2, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/35*1050\/125*15\/(-6)*1.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3)*(1 + -7). Solve g = -4*s - 5 - 7, o*s + 4*g = -6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (186\/(-310))\/(((-48)\/220)\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3253545*f - 3255797*f + 6511279*f.\nAnswer: 1937*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (189\/54)\/(14\/(-8)). Let p(s) = -6*s**3 - 3*s**2 - 4*s - 3. Determine p(g).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26049 is divided by 3355.\nAnswer: 2564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112540\/2040 + 91\/(-78).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 4*h - 6*h + 5 + 17 as a*h + f and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3838 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: Three letters picked without replacement from {o: 2, g: 3, m: 4}. Give prob of sequence ggm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12994, 24211, 35414, 46603, 57778?\nAnswer: 68939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-5)*l)\/(l\/l**(1\/2))*(l*l**2)\/(l**6*l))**(-50) assuming l is positive.\nAnswer: l**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1362*s + 0 - 3 - 1.\nAnswer: 1362*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.194 + 1.806. Which is the fourth biggest value? (a) 1\/6 (b) 2\/13 (c) x (d) 7\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1092 - 646. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-54)\/(-45 + 39).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3372 divided by 4.\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18002, 17540, 16696, 15470, 13862, 11872?\n\"Answer: -191*a**2 + 111*a + 18082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 423\/2411 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5363 - 2550. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100010 - -1001111101?\nAnswer: -1010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*(-2225)\/267.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6277 - 1.8277. Suppose 5*v + 30 = 5. Sort v, 0.4, y, 0.2 in decreasing order.\nAnswer: 0.4, 0.2, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*j - 18 = -3, 5 = -3*n + 2*j. Let b be (0\/(1\/(-1)))\/n. Suppose 0 = 5*p - k - k - 2, -2*p - k - 1 = b. Solve p*l = l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 - 56*b**2 - 32*b + 103. Determine s(19).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + p**2 - p**2 + (-2*p**2 - 2 + 2)*(-3*p + 2*p**2 + 3*p) - 2*p + p**4 + 2*p)*(10*p - p + 133*p + (3*p + 2*p - 3*p)*(2 + 3 - 6) - 1 - 2*p + 1).\nAnswer: -276*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s**2 + 24*s + 74. What is y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045764, 1045762, 1045760, 1045758?\nAnswer: 1045756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211935 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 7*f = -15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7921, -31549, -70937, -126091, -197017, -283721, -386209?\nAnswer: -504487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 1.1. Is o <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 8*u + 9. Let j be o(7). Let f be j\/6*(-72)\/(-20). Is 1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 118166*i**3 - 945232*i**2 + 1890400*i.\nAnswer: -2*i*(i - 59075)*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 - 13*k - 1. Let n(h) = h**2 - h - 1. Let a(i) = 4*n(i) - p(i). Let b be a(-6). Let j = 359 + b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ef - -3a32?\nAnswer: 3743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2596336 is divided by 10954.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/71864409 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 489\/(-21) + (-6)\/(-21). Let o = 34 + b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(891) + sqrt(11)) - (-4 + sqrt(11) + -3))**2 - (-5 + -1*(-1 + sqrt(11))*3).\nAnswer: 129*sqrt(11) + 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/8 - 51\/8. Let r = -2928\/5 + 597. Find the common denominator of n and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238542 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 4*b - 4. Let p(o) = o + 1. Let n(m) = h(m) - 3*p(m). Determine n(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1075*o + 1086. What is s(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 44*68\/248?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6\/13 (b) 2 (c) 0.0085\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 80*n + 53 = 79*n, -m = -2*n - 7. Sort -3, 5, m, 1 in ascending order.\nAnswer: -3, 1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 712068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 128*k = 4282590. What are the prime factors of k?\nAnswer: 3, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 8*s**2 + s - 9. Suppose 6*r - 3*r - 30 = 0. Suppose r = -4*w - 18. Let o be k(w). Calculate the greatest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70312.\nAnswer: 2, 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 26364213*m + 26364213*m + 2*m**2 + 2*m**3 - 60*m**4 to t*m**2 + u*m**4 + y + z*m**3 + b*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (17 + 1 - (-111 + 144)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1, -7, -1529?\nAnswer: -1529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-d + 4*d - d)*(4 + 11 + 9)*(4*d**2 - d**2 - 5*d**2).\nAnswer: 96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16303, -16336, -16367, -16396, -16423?\nAnswer: -16448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -7. Suppose 3*f - 3 = -c*f. What is the nearest to -1 in f, 0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*b - 4*g = -65*b - 164, 0 = -b + 3*g + 69. Solve -3*i = -3*d, -5*d - b*i + 51*i + 10 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 307050593 and 1?\nAnswer: 307050593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292294 or 292293?\nAnswer: 292293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqqd. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 4*y**3\/21 + 183*y**2\/14 - 46*y\/7 + 32. Let h(k) = 0. What is k?\nAnswer: -46, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 13*j - 676. Suppose j = 9*n - 29. Suppose n*y + 48 = 13*y. What is the greatest common divisor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Simplify ((((a\/a**0)\/a*a)**(-7)\/(a**(2\/25)*a**0))**(-2\/3))**46 assuming a is positive.\nAnswer: a**(5428\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-11 + 7 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = 0. Suppose k = 6*m - 2*m - 16. What is the lowest common multiple of 10 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 46*m - 288 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2139 + -464. Suppose -2*d - u = -7*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-47)\/15*3\/(-2) and 53\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1444822*m**3 + 2041108?\nAnswer: 4334466*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1003933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9695, 38737, 87137, 154895?\n\"Answer: 9679*x**2 + 5*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - w = -933, 5*o - 2*w = o + 752. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*w + 3*w - 3*w)*(8 + 14 + 3)*(2 + 1 - 1 + (-1 - 5 + 5)*(-1 + 1 - 2))*(0 + 2 - 3) to b*w + p and give b.\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(4\/44) - 0. Let u be ((-4)\/(8\/(-4)))\/k. Let d = -12 + 16. What is the closest to -2 in d, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 56*k**2 - 87*k + 1138. What is b(-54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*d - 738 + 1943 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10ab5 - -445?\nAnswer: 1122a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -1458904?\nAnswer: -14588aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3818834, -7637670, -11456506, -15275342?\nAnswer: -19094178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.24? (a) 0.0043 (b) -1\/5 (c) -2\/51 (d) 8 (e) -2 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28\/143 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 8)*(-5)\/(-3). Suppose u = -h, u + 2 = -0*l - l. Suppose -5*j = -3*w - 313 - 78, 0 = 2*j + l*w - 148. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -100567142726.81.\nAnswer: -100567142728.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1765010416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333, -1, 242747 in descending order.\nAnswer: 242747, -1, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/6 + 135*a. Let g(r) = 6*r**2. Give w(g(f)).\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = 8*a, 4*r = a + 24 - 21. Let g = -83\/408 + 4\/51. What is the nearest to a in g, 2, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 12. Which is the closest to t? (a) -2 (b) -2\/17 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/9)*q**15*q)**(-15) assuming q is positive.\nAnswer: q**(-815\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 81478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3a?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(19) + 2)**2.\nAnswer: 8*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-9 - -16) + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*h + 29, 3*i - 117 = -2*i + 3*h. Suppose -j = j - i. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 91 = -6*p. Suppose 19 + 5 = 3*h. Calculate the remainder when (p + 12)\/(-5) + 10 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 685379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 3091?\nAnswer: 30.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 4*z + 13, 4*c + z - 23 = 0. Let o(y) = c*y - 3*y - y. Let q(g) be the second derivative of g**4\/4 - 8*g. Give o(q(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 4 + 4. Let x(t) = -t**2 + 2*t. Suppose -42 = -3*z - 0*z. Let r(p) = 4*p**2 - 7*p. Let o(a) = z*x(a) + 4*r(a). Give o(w(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 25. Let h be l(5). Let k be ((-2)\/(-7))\/((-12)\/(-168)). Let f be k\/6 + (-3000010)\/h. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857780?\nAnswer: 2, 3, 5, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121663\/39 or 3120?\nAnswer: 3120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - 491dc?\nAnswer: -49212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51154 + 331310?\nAnswer: 250123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 482*b = 479*b + 28, 4*g + 13*b - 13 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/24 + d**2 + 3*d. Let i(r) be the first derivative of k(r). Let c = -2 + 5. Determine i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 3268\/258 + (3 - (-21)\/(-9))*-1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 2 - 15*r)*(990 - 223 + 763).\nAnswer: -22950*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 t when four letters picked without replacement from {x: 7, w: 4, t: 3, f: 4}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298029 (base 14) to base 8.\nAnswer: 5403065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:54 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 32.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(30\/(-40)))\/3. Which is the smallest value? (a) 2\/43 (b) -9 (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50496\/19930 - (10 + -11). Let w = -2\/5979 + h. Calculate the common denominator of w and 5\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3)*z**(2\/9))\/(z\/z**(-1\/11)*z*z*z**2) assuming z is positive.\nAnswer: z**(-350\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.2 - -15. Let h = -552 + 548. Which is the closest to h? (a) -0.06 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - (6 + 3 + -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.21 - -0.2. Let q = 0.093 - -0.007. Let v = q + 2.9. Which is the third biggest value? (a) j (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a century in years?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 35\/4. Which is the closest to n? (a) 1 (b) 2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1628\/(-110) + 16)\/((-10)\/(-125)). Solve -5*l + 5*k = q, -3*l - 6*k = -3*k + 39 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3087 and 3871?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y + 4*m, -2*m + 14 = 4*y - 0*y. Let g be (8\/14)\/(14\/49). Solve -t + p = -y, g - 5 = -3*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6298700 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16151 (base 7) to base 8.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182 or 547\/3?\nAnswer: 547\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 + -52 + 34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 3. Let p be t(3). Suppose 0 = -3*s - 2*m + 18, -2*s + 2*m - 2 + 4 = p. What is the second derivative of -h**4 - 2*h + 5*h**s - 3*h**4 wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.0349 + 0.0651. Let y = -26.10000173 + m. What is y rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 3\/7, -3, -1\/2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1))\/x)**(-5\/8)*x**(2\/11)\/(x*x**(3\/7))*((x*x**(1\/3))**(-14\/9))**(-3\/5) assuming x is positive.\nAnswer: x**(17261\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31397382 divided by -3\nAnswer: -10465794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 57*o + 112. Let v be y(-2). Let d be (-1)\/5 + (-136)\/(-830). Let i = d - -187\/581. Which is the closest to v? (a) i (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(162) - sqrt(162)*1) + 4 + sqrt(162))**2 + -4*(sqrt(2) + (sqrt(70)\/sqrt(5))\/sqrt(7))*-5.\nAnswer: 40*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 - 2*s - 2. Let k be l(-3). Let g = 11 + k. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001151 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16828 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1457.14 and 7.4.\nAnswer: -10782.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -152bc7 + 124?\nAnswer: -152aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57643\/9 - -6405. Let f(r) be the second derivative of 1\/60*r**5 + 0*r**2 + 7*r + 0 + w*r**3 - 1\/9*r**4. Factor f(t).\nAnswer: t*(t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 2 + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 1. Let x(n) = -2*n + 15 - 15 - q*n. Let l(y) = 3*y**2 + 4*y**2 + y**2 - 6*y**2. Calculate l(x(d)).\nAnswer: 162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 2 (b) -0.2 (c) -899 (d) -3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/34110448 and 75\/8?\nAnswer: 34110448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8*x - 8. Let k be 2997 + (2 + -1 - x). What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 214419 + 214356 + p**2.\nAnswer: 2*p**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) - 280\/25. Let p = -9 - n. Suppose -5*h + 2 + 13 = 0. Calculate the smallest common multiple of p and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12 = -v, -6*o - 3*v = -2*o - 28. Let d(q) = 3*q + 6 - 3 - o. What is d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1 + ((-624)\/(-18))\/(-13). What is the second smallest value in o, 46, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6753, 6720, 6687, 6654, 6621, 6588?\n\"Answer: -33*y + 6786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-475)\/(-70) + -8 + 7\/98)\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 139476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033470341 to the power of 1\/2, to the nearest integer?\nAnswer: 63510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/8)*a)\/a**(3\/8))\/(a**1)**5)\/(a**(1\/5)*a\/(a*a\/a**(-5))*(a**(-1))**(-2\/29)) assuming a is positive.\nAnswer: a**(357\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 3*v**2 + 3*v**2 + (2 - 2 + v)*(1 - 1 - 2*v) - 2*v**2 + v**2 + 0*v**2 + (2 - 2 - 1)*(3*v - 3*v + 2*v**2) as q*v**2 + k + p*v and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1 (c) 2\/59 (d) 291 (e) -2.2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -4, 3350, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64413*b - 60*b**3 + 64413*b - 398*b**3.\nAnswer: -458*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5663599762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65280269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3359 and 1.09.\nAnswer: 0.366131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)\/c*c\/(c*c\/((c*(c\/(c*c*c*c*c**(2\/3))*c)\/c)\/c)*c))\/(c\/(c*c\/(c*c**(2\/9))))**(-26) assuming c is positive.\nAnswer: c**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 252. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9350 + 16136. List the prime factors of s.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595608 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {h: 9, w: 7, y: 3}.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 3, -4, -2 in increasing order.\nAnswer: -53, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaaieabaeb. What is prob of sequence eii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5200.54, 4, -4\/7 in ascending order.\nAnswer: -5200.54, -4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*j + 2*l + 16, -2*j = 4*l + 38 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - -1001121201222?\nAnswer: 1001121200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 4\/3 (c) -33 (d) 0.272\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 21*s**2 - 2*s + 1. Let p be d(1). Let k(v) = 6 - 2*v**2 - 2 + 9*v + v**2. Let n be k(9). Calculate the greatest common divisor of p and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/4, -3, -2\/9, -1702\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.061757 and 3?\nAnswer: 0.185271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -16.9384, 11, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5552 divided by -4\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.97 - -8. Let b = -3187 + 3190. Let a = -2 - -2.1. What is the closest to 0 in b, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 9*z**2 - 252*z - 2429. What is n(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303457622 or -910372870\/3?\nAnswer: -910372870\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 127091 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97\/29306 or 0?\nAnswer: 97\/29306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -588102825 + 4?\nAnswer: -588102821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -574613, -2298616, -5172005, -9194780, -14366941?\n\"Answer: -574693*s**2 + 76*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 26. Let p be (1 - 1)\/(-4) - -4. Suppose -4*d - 109 = -3*f + 8*f, -4*d - p*f = 108. Sort d, 0, a in increasing order.\nAnswer: d, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*d + 5*d - 6, 5*o - 4*d = 15. Solve -6*z - 9 = -o*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 219686*g = -219681*g + 110, -2*w + 3*g = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.9382 and -0.06.\nAnswer: -1.436292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 87 = -2*h, -4*n = -h - 2*n + 42. Let z be 951\/(-27) - (-2)\/9. Let t = z + h. Solve -4*v + v = t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 9*a - 9. Let p be 1\/(-7) - 540\/(-105). What is the tens digit of l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 8*h - 9. Let r(j) = -7*j + 312. Let c be r(44). Give u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 311 = -1601. Let s = l - 165. Calculate the remainder when 647 is divided by s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7925 + 311 = -284*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/30 and -11\/19677.\nAnswer: 196770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54537751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i + 938*i = 101*i - 28416 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00235 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -i - 714552, 8*p = 4*p - 5*i - 952736. Let l = 177909 - p. Suppose b - l = -56093. What is b rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21*-5*7\/3. Let n = 26845\/2 - 13701. Let k = n - g. Calculate the common denominator of 52\/3 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 3, w: 2, g: 2}. What is prob of sequence ww?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 862430.8425.\nAnswer: 862430.6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 15*r + 39*r = -46*r - 7221 for r.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 3, f: 2, y: 1, u: 4}. Give prob of picking 1 y and 2 u.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 1. Let s = 3 + -4. List the prime factors of h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343*i**2*k**3 + i**2*k**2 - 4*i**2*k - 11*i**2 + 2*i*k**3 - 3*i*k**2 - 227709*k**2 wrt i?\nAnswer: -686*k**3 + 2*k**2 - 8*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 1. Let q(s) = s - 4*s + 6*s + 2. Suppose -3*t + 32 = t. Calculate t*h(a) - 5*q(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozoaddadd. Give prob of sequence ad.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13989 by -4663.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77979*m**2 + 77979*m**2 - 1005*m**4 + 2*m**4 - m**4 + 0*m**4 + (6*m + 0*m - 4*m)*(2*m - 2*m**3 - 2*m))*(3 - 4 + 3).\nAnswer: -2016*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/4 - 38*v + 1444 = 0.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-4388)\/3*174\/(-1972). Is -130 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*(2 - (-44)\/(-20)) - -23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -160529, -160528, -160527, -160526, -160525?\n\"Answer: g - 160530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 7*d = 5*w + 155, -4*w + 119 = 3*d. Let j = -31 + d. Calculate the remainder when 25 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - g + 20, -2*g = -2*n - 3*g + 10. Solve 17 = -3*r - n*o, 0 = 3*r - 3*o + o + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and -9299.\nAnswer: -9288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003996 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*b + 6*b**3 + 0*b + 0 - 3*b**3 to y*b**3 + g*b + l + o*b**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/3030 and -17\/23491893.\nAnswer: 234918930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:33 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.005 - 0.01. Round j to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57808 - 231241 + 57811 + 57812 - 4*o**2 + 57810.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-15) - (-23)\/(-5). Let b(s) = 5*s**2 - 2*s - 1. Is b(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82 * -48.\nAnswer: -3936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/21 (b) -17833\/2 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 3, h: 5, m: 1, s: 2, v: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(27)*-1*5)\/(sqrt(9) - -2*(sqrt(9) - sqrt(36))))**2 + (5 + (sqrt(18)\/sqrt(6) + sqrt(3))*-3)**2 + 1)*-2.\nAnswer: -240*sqrt(3) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-232)\/48 + (2\/12)\/(-1). Let a be (-24)\/60 - (-23)\/i. Let x(s) = -3*s**3 - 5*s**2 + 4*s + 11. What is the tens digit of x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {u: 1, y: 14}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 + 2*v - 7. Let u(b) = 5*b + 4. Let f be u(-3). Let l = -1 - f. What is the lowest common multiple of l and m(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -98 + 203 - 100 - 5*u. Let k(p) = 17*p - 16. Let f(a) = 7*b(a) + 2*k(a). Determine f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 15 = -5*d, 4*y = -45*d + 41*d + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a60 + -6d?\nAnswer: 9e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -593d9 + 7?\nAnswer: -593d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -101360046*k. Let l(a) = -2*a. What is l(u(r))?\nAnswer: 202720092*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14223 and 933801?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2562937 times 3\nAnswer: -0.7688811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513949117?\nAnswer: 11, 17, 2748391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 b when four letters picked without replacement from {b: 3, o: 11, v: 4}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1628.1 + -1628. What is the closest to a in -2\/5, -1\/7, -3, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -11764?\nAnswer: 11752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83773929, -83773930, -83773931?\nAnswer: -83773932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 670\/(((-8)\/28)\/(24\/(-14))). What is h rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35a - -14?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 + 168. Suppose -4*l - 3*a + 3313 = 0, u*a = 5*l - 3*l - 1646. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 8*n - 9. Let x be h(4). Suppose 0*k + 3*k = 9. Let d = x - k. Solve 2*a + 6 = d*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-6)\/(-4)*6. Let s be (2 - -1) + 0 + h\/(-12). Let p = 1.22 + -0.22. Are s and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x**3 - 91*x**3 - 46102732*x**2 + 19*x**3 + 46102732*x**2 + 24*x**3 + 27*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times 76\nAnswer: 235.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 1424905?\nAnswer: 17098860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311594080177 - 0.27.\nAnswer: 311594080176.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/2 - 3*b**4\/2 - b**3\/2 + 3*b**2\/2 + b = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030542103 rounded to 5 decimal places?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 174*o + 5. Let f be s(-58). Let r(c) = 2*c + 2. Let g(b) be the third derivative of b**4\/4 + b**3 - 2*b**2. Give f*g(a) - 16*r(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155 - -157. Solve -h + 3 = -2*t, h + 15 = v*t - 6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*b**3 - 181*b**3 + 56*b**3.\nAnswer: -252*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1718 + 5357 = 3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139969968 to the power of 1\/3, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -85450 less than -85589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 = -11*k + 465. Let m(v) = k*v - v**2 + 118*v - 219*v - v**3 - 3. Determine m(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/((-6)\/(-396)). Suppose 3*g - h = -g. Suppose 0 = 5*o - g + 1. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 2.86?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0 - 5) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 96 = 34*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 976 = 5*w - 7*w, -182 = -n + 4*w. What is the greatest common divisor of 1843 and n?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (56\/(-70))\/((-4)\/15). Factor 8\/3*m**2 + 2\/3*m**5 + 0 + 0*m - 2*m**4 + 0*m**a.\nAnswer: 2*m**2*(m - 2)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*x - 139, 2*m - 348 = -2*m - 4*x. Let n = 138 - m. Let v = 61 - n. Solve 5*q + 6 = -3*f, -4 - v = 3*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 3. Let p be t(-4). Suppose -180 = -5*k + 5*q, 4*k + 3*q = 2*q + 159. Let j = p + k. What is the remainder when 47 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -21. Which is the fourth smallest value? (a) 4 (b) 2\/11 (c) r (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-18) + 14\/28. Let d be (-13)\/10 + (7\/(-14) - -3). What is the nearest to 1\/2 in d, v, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 78 = 25*g - 32*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 391770 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*t - 2 - 3 = -0, 0 = 9*a - 7*t - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 5*y**2 - 3*y**2)*(2 - 1 - 2)*(5*y + y + 0*y) - 5*y**3 - y**2 - 12*y + 12*y.\nAnswer: -17*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (1 - 0\/1). Let u be 20\/112 + (-6)\/t. Let g(z) = -3*z - 1. Let v be g(0). Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -542 + 1615 - 542 - 532 + 4425*c to l + k*c and give k.\nAnswer: 4425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 9:54 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 177288*d - 354572 = 0. What is d?\nAnswer: 2, 177286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (1 + sqrt(133)\/sqrt(7)) - (-1 + sqrt(133)\/sqrt(7))) + 4*(sqrt(209)*-3)\/sqrt(11)*2.\nAnswer: -25*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000110011101100 (base 2) to base 12\nAnswer: 18a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(-34)\/918. Let r(x) = x**2 - 7*x + 4. Let q be r(7). Let i be 2*-1*10\/q. Which is the smallest value? (a) 1 (b) y (c) 2\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(y*y**(-9)))\/y))\/y)**(2\/41)\/(y**(-22)\/y*y**(1\/3)) assuming y is positive.\nAnswer: y**(2740\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - (2 + 5)) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 344*k**2 + 27. Let w(q) = -2674*q**2 - 210. Let a(o) = -70*j(o) - 9*w(o). Let p(s) = -5*s + 2*s - s. What is p(a(h))?\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -504 divided by -1\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17267, -138127, -466145, -1104887, -2157919, -3728807?\nAnswer: -5921117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 55*t - 989. Let m be h(18). Let p be (1\/79)\/(1\/(-4)). Is m at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 9*a**2 + 11*a - 14. Let y be b(8). Suppose 0*s - 2*s = -80. What is the highest common divisor of s and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 + l. Let r(m) = -m**3 + 2*m**2 - 4*m + 4. Let x(n) = 4*j(n) + r(n). Let g be x(2). Solve -3*i + g = -4*k, 4*i - 5*i - 5 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 53. Let y be t(16). What is the third derivative of 1458*x - 1458*x + y*x**5 + 28*x**2 wrt x?\nAnswer: 1260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 10 (c) 4\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 + 51*n + 1\/6*n**5 - n**2 + 151\/120*n**6 + 0*n**4 + 1\/6*n**3. What is the third derivative of k(y) wrt y?\nAnswer: 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116469 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 1 + 4*x + 1\/2*x**2. Determine i(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5087 - -10819. Suppose 178*y - 184*y = -x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 450?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -1\/6*s**3 + 4*s + 0*s**2 + 0. Let p(l) = -3*l. Determine -p(a) + 2*w(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(-20*f**2 - 7*f**2 - 10*f**2) + (2 + 3 - 4)*(5*f**2 + 0*f**2 - 2*f**2) to h*f**2 + p*f + u and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a + 4. Let x = 4 + a. Suppose 0 = x*g - 8*g + 785. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + v - 22 = 0, 111*k - 116*k + 3*v - 59 = 0. Let a = 6 + -146. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (61 - (45 - -7))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29798 + 2570 = 1342*z + 2679 + 21089 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + (-6 - -14) - (-2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 j when four letters picked without replacement from {j: 9, n: 5}?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 30*o**2 + 217*o - 3. Let v be u(6). Solve -3*j - t = j, j = -v*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4299.\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20528099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27824352 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2446 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -1\/2*o**2 - 1\/2*o**4 + 4 + 0*o**3 + 0*o. Find the second derivative of q(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3177\/1059)\/((-4)\/64)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*x - 288*x + 83 + 584*x.\nAnswer: 2*x + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*q**3 - 20*q**3 - 21*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -11*f**5\/24 - 15*f**3\/2 + 7*f. Let w(r) be the second derivative of h(r). Let i(c) = -3*c**2. Give i(w(y)).\nAnswer: -9075*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 73*o**2 - 226*o - 155. Let n be z(76). Which is the closest to 1? (a) 0.5 (b) -0.1 (c) n (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -18704 (b) 4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/4, -283.3, 928 in increasing order.\nAnswer: -283.3, -0.2, 1\/4, 928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 6. Suppose 75 = -3*a + 96. Let u(w) = -7 + 24 - a - w. Let q be u(10). Give g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 211211 (base 5) to base 10\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 359 + -356. Solve 0 = k*n + 2*s - 9, s + s = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40\/9? (a) -0.3 (b) -3 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3813, -3, 1 in descending order.\nAnswer: 3813, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2 + 378456*i + 9460150 = 0.\nAnswer: -189203, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*-3 - sqrt(228) - 1*-1*sqrt(228))\/((sqrt(12) + sqrt(12) + -1*sqrt(432) + sqrt(432) - sqrt(12))*3).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 40.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.193 + -846.193. Let c = d - -845.99999578. What is c rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 5\/419661313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 234*n + 3010. What is q(-14)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + 0.7. Let s = 40 - 63. Let c = s - -36. Are c and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.9861 - 0.0139. Let i = 484\/3 + -160. Which is the closest to -1? (a) i (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8*t + 11 - 23)*(4 + 0 + 3)*(6 - 2 - 2).\nAnswer: -112*t - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -222. Suppose -70 = 5*z - d. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2421*q = -2847*q - 18318 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**3 + 3*s**2 - 5*s + 2. Let v be d(2). Let j = 58 - v. Which is greater: j or -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(20) - (2*sqrt(80))\/sqrt(4)))\/(sqrt(40)\/(6*(sqrt(4) + sqrt(4)*1))).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, -3, 1\/3, -2\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -61. Let r = f - -34. Suppose -3*d - a = 4*a - 5644, r*d = -5*a + 7527. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -185, -2, -1, -3 in descending order.\nAnswer: -1, -2, -3, -13, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-960)\/321 - -3). Suppose 0 = 14*u - 18*u + 744. Let i = u + n. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*w + 2*w + 6*w - 12*w + (5*w + 4*w - 8*w)*(-2 - 1 + 1) + 26*w - 14*w + 12*w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 47 - 169 = -3*t, 4*t + 4*y = 160. Suppose -5*n = -2*j + 28, -5*j - 3*n = 3 - t. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**4\/2 - 2*f**3 - 15*f + 7. Let k(u) = -u**3 + u**2 + 1. Let n(p) = -b(p) - 6*k(p). What is the derivative of n(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84767 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -192984.97299 less than 4?\nAnswer: 192988.97299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a factor of 4480740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 182\/8 - 3\/(-12). Let z = s + 29. Calculate the common denominator of 17\/16 and (z\/(-48))\/(8\/(-6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 934*c - 2250*c + 31584 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1634084496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4902 - 2993. Calculate the smallest common multiple of 23 and x.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.8 - -0.2. Let f = 3 + -2. Let s = 11 + -8. Which is the closest to 0? (a) f (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b - 4. Let i be l(-8). Let y(h) = -3*h - 13. Let s be y(-5). Suppose -i*u + 4*w + 1392 = 0, -s*w - 1760 = -5*u - w. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l**4*p**2 + 36555*l**4 - 3117*l - 67*p**2 wrt l?\nAnswer: 120*l**2*p**2 + 438660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 8:13 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 4, n: 2}. Give prob of sequence vj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 + 2)*(-3 - 1 + 3) + 1 + 4 + 2 + (0 + 1 + 1)*(0 + 0 + 2))*(-74*z**3 + 11*z**3 - 18*z**3) as j*z + r + c*z**2 + q*z**3 and give q.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 13. Suppose i*q = 11*q - 72. Let w = 15 + 5. Calculate the smallest common multiple of q and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 3, u: 5, y: 9}. Give prob of sequence pu.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7558*f - 7549*f + 18 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/36)\/(-5)*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -3*w. Calculate the remainder when 519\/9 - w\/(-15) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*(2 - (-57)\/6) and (-37)\/(-12) + 6 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhdbdibi. What is prob of sequence bz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 32*i - 28*i - 11 + 20. Determine f(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2592 and 640?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4281 times 4?\nAnswer: 17124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5600463332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(77) + (sqrt(77) + (sqrt(77) - sqrt(77)*-2*5) - sqrt(77)) - 1*sqrt(77)*2)*5)\/(-1*sqrt(700) + sqrt(343)*-4))**2.\nAnswer: -50*sqrt(11)\/19 + 7236\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (330\/8)\/5*36. Suppose 8*s = a + 343. What is the remainder when s is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 419501264 and 12432.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 11*x**8\/42 + 11*x**4\/24 + 3*x**3\/2 - x**2 - 34. What is the second derivative of j(n) wrt n?\nAnswer: 1760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 25 + 1)*(-5*w**4 + 4*w**4 - 4*w**4 + (-2*w**2 - w**2 + w**2)*(-2*w**2 + 4*w**2 - w**2)) in the form g + o*w + k*w**2 + u*w**4 + j*w**3 and give u.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times -0.2?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1\/o)\/(((o**(-1\/8)*o)\/o*o)\/o)*(o\/(o*(o*o**(-2\/25)\/o)\/o))\/o**(-1\/4) assuming o is positive.\nAnswer: o**(491\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*o**2*t*v**2 - 1292*o**2*t*v - 3*o**2*v - 4*o**2 + o*t*v + 11*o*t + 514*o*v**2 + t*v**2 - 234*v**2 + 1 wrt v.\nAnswer: 18*o**2*t + 1028*o + 2*t - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 812012854 and 6511.\nAnswer: 6511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2406858.35 to the nearest one hundred.\nAnswer: 2406900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**2 + 2*u**3 - 8 - 2*u**2 + 4*u**3. Suppose -k - 1 = 2*c, -10 = -5*k - c - 4*c. Let o(z) = 4*z**3 - 1 - 9 - 5*z**2 + 5. What is k*r(t) - 8*o(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6815*274\nAnswer: 1867310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 4*i**2)*(0*i - i**2 + 0*i) - 226*i**4 + 148*i**4 - 188*i**4.\nAnswer: -270*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071430800 rounded to the nearest 1000000?\nAnswer: 3071000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:24 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2347 = 3*p, 0 = -2*p - 18 + 16. What are the prime factors of h?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - ((-46 - -74) + 18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-36304608)\/(-1975) + (-2)\/25 - (-27)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -677642504 divided by 8\nAnswer: -84705313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-9) + 33\/(-27). Suppose 3*f + 3*s + 54 = 0, 3*s + 36 = -4*f - 40. Let d be (2 + 0)*f\/77. Is h smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (4 - (10 + -23 - -16))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143293750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c**2 + 224*c - 4. Give d(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 196*j + 629. Calculate the remainder when o(0) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36911624*y**2 - 73823341*y**2 + 36911676*y**2.\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x + 2*o + 17, 5*o + 37 = 2*x. Put -1, 0.2, 10, x in decreasing order.\nAnswer: 10, x, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -1 + 0*k**2 + 0*k**4 + 1\/3*k**3 + 2\/5*k**5 + 0*k. Find the third derivative of t(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*c + 14 = -10, 5*n + c - 27 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3 - 1\/2*p**2 + 0*p. Calculate w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 268463 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 3*u**5 - 2*u**5 + 4*u**5 - 3*u**5 - 2*u**5 + (-6*u**4 + 2*u**4 + 2*u**4)*(3 - 3 + u) - 3*u**5 + 11*u**5 + 5*u**5.\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3702 + 612.3702. Which is smaller: o or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.8, -2\/15, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 1. Let h(n) be the third derivative of 5\/6*n**3 + 0*n + 0 + 5\/24*n**4 + 1\/60*n**5 - 13*n**2. Give 4*h(j) - 20*u(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)*(-3 - 0). Suppose p - 1 = s, w - 10 = 2*p - 5*s. Let d = 1.8 - 1.9. Is d at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y*y*y**16)*y**29)\/(y*y*(y*y\/y**(1\/47))\/y*y**1))**(-26) assuming y is positive.\nAnswer: y**(-7358\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 23 = 4*t - 0*t, -2*q = 3*t - 11. Suppose -50 = -5*x - t*a + 2*a, -4*x = -3*a - 40. Suppose 4*j - 5*j = -x. Solve 3*r - 10 = h - 0*h, 5*r = j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 3:34 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 5:30 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 387586.3ml?\nAnswer: 387.5863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*w + 4*u + 24, 1 = -2*w - u. Let y = -5 - w. Let l = y + 25. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 455 = -461 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10)*-2) + (sqrt(7) - (2 + sqrt(112)))**2.\nAnswer: 23*sqrt(7)\/2 + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, z: 2, b: 1, q: 1, y: 4}. What is prob of sequence zb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-9) - (-12)\/36. Sort -16, 2, u in ascending order.\nAnswer: -16, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802506525?\nAnswer: 5, 72100261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 + 6*s + 1. Let x be f(6). Let p(o) = -o**2 + 7*o + 7. Let m(r) = -r**2 + 1. Let j(i) = x*p(i) - 5*m(i). Is 17 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/60 + 229*y**5\/60 - 557*y**4\/24 - 56*y**3 + 5441*y**2. Factor r(i).\nAnswer: -(i - 112)*(i - 3)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/29)\/f**(9\/2)*(f**(-3))**(10\/9) assuming f is positive.\nAnswer: f**(-1351\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**4 - 36*p**3 - 112*p**2 - 144*p - 64 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(343)*2 + 3)**2 - ((-1 + sqrt(343)*1 + sqrt(343))**2 + 1)) + 3.\nAnswer: 10 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.144 and 16.\nAnswer: 34.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = 2*l + 23, 5*l + 20 = x. Solve 2*o = -4*y - 3*o + 27, 2*o - x = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112213001021 + 1?\nAnswer: 112213001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520700 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5.3 (b) 17 (c) -3 (d) -2\/9 (e) 19.5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -22992\nAnswer: 91968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - -19. Let j = -62 + x. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-40)\/15)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1989437 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) + (-2569)\/(-35). Let d = -38 + g. What is the remainder when d is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 10 = 5*f - 19, 2*d + 2 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 265194?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let s = 5 - y. Let c be (14\/(-1372)*-14)\/((-8)\/14). Sort s, c, 0 in decreasing order.\nAnswer: s, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:28 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-216) - 2\/(-9))*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 640 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r + 35 + 6*r - 21*r - 16*r. Is k(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, q: 1, e: 1, t: 1, u: 1}. Give prob of sequence tuq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -503\/5, 17, -89?\nAnswer: -503\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/(s**(-6)\/s*s))\/(s*s*s**(9\/4)*s*s*s\/(s*((s\/(((s\/(s\/(s*(s**(-3\/10)*s)\/s*s)))\/s)\/s*s)*s)\/s)\/s*s)) assuming s is positive.\nAnswer: s**(43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:44 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 618800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*(4*(-1165)\/144 - (-420)\/378)\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 3*u + 4. Let x = 4 + u. Suppose -x*i = -0*i - 393. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 27*w**2 - 50*w + 2. Let u be q(25). Let z(a) = -a**2 + 7*a. Let b be z(6). Let n(x) = b + 4*x - 5 + 0. What is n(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 3*u - 1. Let t be q(-3). Let p(n) = -n - 4. Let v be p(-6). Which is the nearest to t? (a) -5 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 4 = 12*f - 11*d + 7*d, 8 = -2*f - 5*d for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24 + (-108735)\/1800 - -36 and (41\/(-12))\/((-45)\/(-8)).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8532258 kilometers?\nAnswer: 853225800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-3) + 1 + 8. Suppose 3*s + f = 43. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2858615606 to the nearest 100000.\nAnswer: -2858600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81685007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246 - -331. What is the highest common divisor of 51 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 17*r**3\/3 + 11*r**2\/2 + 17*r - 642. Let i(h) = 6*h**2 + 4*h + 6. Give 11*i(z) - 4*p(z).\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v + 940127 - 175034 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 11) to base 10.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98160, -196334, -294510, -392688, -490868, -589050, -687234?\nAnswer: -785420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0025 and -198096279.8.\nAnswer: -198096279.7975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124\/3 - -1237\/30. Which is the closest to 0.01? (a) 0.3 (b) h (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*i + 753*i = 342*i - 4200 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f**2 + 431*f + 3945. Calculate t(-9).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 99640.83 kilometers?\nAnswer: 99640830000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x - 2*x + 2*x + (-3 + 2 - 1)*(0 - 2*x + 0).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 take away -351505?\nAnswer: 351505.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14618*u**2. Let s(i) = 6*i**2. Give p(s(q)).\nAnswer: 526248*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*c - 307*c = -5*m - 11, -29 = -m + 5*c. Put m, 0, -155, -3 in descending order.\nAnswer: 0, m, -3, -155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - -2) - (-647 - -635)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-4\/5)\/z)*(z\/z**(-2\/5))\/z)\/(z**(2\/3)*z*z\/(z**(-5)\/z)) assuming z is positive.\nAnswer: z**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72 - 2\/3*b**2 + 14*b.\nAnswer: -2*(b - 12)*(b - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -29*w. Suppose 3*i - 8*i - 4*k + 26 = 0, w = -3*i + k + 2. Solve -u - a + 7 = -6*a, 4*a = -i*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*n - n**3 - 364*n - 3*n**3 - 3*n**3 + 169*n to c*n + d + y*n**3 + w*n**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2082\/2527?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/((-1810)\/2715)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 1, a: 1, w: 1, q: 1}. Give prob of sequence at.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1418353 divided by 1\nAnswer: 1418353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from tztztzzztzzztzzz?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*r - 461*r + 61*r)*(-r + 5*r - 3*r)*(1 - 1 - 6*r) in the form y + s*r**2 + n*r + t*r**3 and give t.\nAnswer: 2502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191560547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:52 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110418.\nAnswer: 2, 3, 7, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/17? (a) 6 (b) 3 (c) 2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 1\/8*s**4 + 1\/2*s**3 - 1\/2*s - 3\/8*s**2.\nAnswer: -(s - 2)**2*(s - 1)*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxexeaqkakkd. Give prob of sequence exd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 776*k\/7 - 31450\/7.\nAnswer: 2*(k - 37)*(k + 425)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 17}. Give prob of picking 1 d and 1 v.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4571097 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + n - 1. Let h be 3\/8 - (-13)\/8. Let z(l) = 43 + 0*l + l + 6*l**2 - 18*l**2 - 44 + 10*l**h. Calculate -3*k(u) + 2*z(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107546969 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + d)*(-1 + 0 - 5)*(24*d - 11*d - 3*d).\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -724 or -84802\/117?\nAnswer: -724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 188 = 17*z - 390 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 10. Let y be m(8). Let j(u) = u**3 + 4*u**2 + 4*u + 3. Give j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/5))**4\/(z*z**1)**(4\/7))**(-23) assuming z is positive.\nAnswer: z**(-1012\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o + 3*z = -9, -4*o + 3*z + 24 = 0. Suppose o*m = 281 + 1501. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 - 3 + 3)*(-1 - n + 1) - n - 6*n**5 - 3*n**4 + 3*n**4.\nAnswer: -4*n**5 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 12*k**2 + 8*k - 37. Let x be r(-11). Sort x, -5, 7 in descending order.\nAnswer: 7, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195005 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1220447?\nAnswer: 7\/1220447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -4e663?\nAnswer: -4e666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/20 - v**3\/6 - 2*v. What is the units digit of q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*t + 3 - t + 3*t - t + (-3*t + 3*t - t)*(2 - 4 + 1) + 0 - 2*t + 0 + t + 0*t + 3*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 3 - (-11 + (8 - 26)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103612930 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 4:33 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 14. Let l be s(-8). Let r = l - 69. Is 12\/30 + (-13)\/5*r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 5*b**2 - b - 7*b**2 - 1 + (0 - 1 + 3)*(-2 - b**2 + 2) - 3*b**2 + 4*b**2 + 0*b**2 to m + h*b + o*b**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/4 (c) -2 (d) 2\/3 (e) -25\/14 (f) -0.085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.46 + 0.5. Let s = i - 4.04. Let q = 58.2 - 58.5. What is the nearest to 1\/3 in s, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 - 2 = 0. Let w(d) = -d**3 + 4*d**2 - 4*d + 3. Let f be w(v). Let o be (0 - -2 - f)\/(-7). What is the second biggest value in -2, 1\/8, o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 30264?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*g**3 + 6*g + 39.\nAnswer: 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6029.436 millilitres in litres?\nAnswer: 6.029436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817100979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2967 and 24081.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 37. Let x(o) = o**2 - 6*o - 19. What is the tens digit of x(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/5 - (29 - 2) - (-396)\/((-627)\/(-19))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 19. Is -34 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120490 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -30. What is the least common multiple of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 - 3141592*a + 616850018404 = 0. What is a?\nAnswer: 392699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 7. Let r = -4 - 0. Suppose 3*z - 2*a - 3 = 0, 0*z + 4*z + 5*a - 27 = 0. Let n(b) = 3*b - b - b - z. Determine r*q(x) - 9*n(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -0.2 (b) 1\/2 (c) 3\/5 (d) -310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000312279 rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 12, m: 2, x: 4, o: 1}. Give prob of picking 4 j.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 + 17751*d**2 - 35493*d + 17745 = 0. What is d?\nAnswer: 1, 5915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - z + 44994, 2*c - 11*z = -8*z + 29985. Suppose j - c = 4*a, -3*j - 6*a + 45043 = -5*a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c1a0d (base 14) to base 5.\nAnswer: -343310412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:42 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 + 6*t + 7. Let g be i(-3). Let f(x) = -x**2 + 5*x + 10. Let l be f(g). Let p be 2\/l*-2 + 0. Solve 2 = b - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 36 - t - 2*t + 6*t to w + b*t and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 625 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20132321.\nAnswer: 11, 1830211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-11)*a))**(-41) assuming a is positive.\nAnswer: a**492","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -154*t**3 - 3*t + 4. Let p be i(2). Let g = -483 - p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-3\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**8\/840 - 51*t**7\/175 - 353*t**6\/20 + 42409*t**5\/150 - 1576*t**4 + 3840*t**3 - 3807*t**2. Suppose z(l) = 0. What is l?\nAnswer: -80, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/11)*v*v**(-1\/2)*v)\/(v\/v**(-1\/5)*v\/(v**(-1\/8)*v*v)*v) assuming v is positive.\nAnswer: v**(437\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 4*s**2 + 20 + 25.\nAnswer: 4*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 674b + -5?\nAnswer: 6746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdddddddpdpd. Give prob of picking 1 p and 2 d.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19055b9 (base 12) in base 4?\nAnswer: -103332010131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -13, -1\/2, -1\/7, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2493 + 2491. Let q(c) = -c**3 + 5*c**2 + 5*c - 3. Let y = 5 - -1. Let t be q(y). Put g, 4, 0, t in descending order.\nAnswer: 4, 0, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l = 2. What is the lowest common multiple of 2\/6*(-17)\/(51\/(-36)) and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*m - 1)*(2 - 3 - 2).\nAnswer: -6*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -416*s**3 - 1244*s**2 - 11*s - 64. Give f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 29*q**2 - 67745*q - 1827635. Determine d(-27).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453153651 to the power of 1\/2, to the nearest integer?\nAnswer: 21287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54654*h**4 - 6088004*h wrt h.\nAnswer: -655848*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287 = -186*v - 2023 - 17306 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 3*x**4 + 0*x**4 + (-3*x**4 + 5*x**4 - 3*x**4)*(1 - 1 - 2) + 2*x**4 + 2*x**4 - 5*x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 136, 61, -318, -1157?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30014 + -2?\nAnswer: 30012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 151, 317, 771, 1657, 3119, 5301, 8347?\n\"Answer: 24*z**3 - 2*z + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 568.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3169 - 1293. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1667 + 1667.3. Which is the third biggest value? (a) 0 (b) 4\/29 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420)*-3 - sqrt(2420))\/(sqrt(4) - (sqrt(576) - (sqrt(576) - (sqrt(576)*3 - sqrt(576))))).\nAnswer: 44*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26.21? (a) 2 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -67. Suppose -461 = -q*z + 5*c + 509, -c + 394 = 2*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:31 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4290.1911 to the nearest integer.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/6, -3\/7, -20, 13, 2\/11, 1\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 47*r**2 + 54*r + 1018. Give l(-16).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588603997.\nAnswer: 2467, 238591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 9*j**4 - 6*j**2 - 9*j + 3. Let c(p) = p**5 + p**3 - p**2 + p - 1. Let v(g) = -3*c(g) - z(g). Let v(y) = 0. Calculate y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 111. Let o = j - -139. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/220880 and 69\/2510.\nAnswer: 220880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (-5 + 4 - -7). Let z(h) be the second derivative of -8*h + 0*h**4 - 3\/2*h**k + 7\/20*h**5 + 0 + 0*h**3. What is the derivative of z(s) wrt s?\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-75))\/((-4)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -400 or -430?\nAnswer: -430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 26*r**2 - 12*r - 2. Let j be ((-21)\/6)\/(1\/(-2)). Let o be y(j). Suppose -2*z = -6*z + o. Calculate the greatest common divisor of z and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 + 3*i**3 + 232*i**2 - 467*i wrt i.\nAnswer: 24*i**2 + 18*i + 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.4. Let s = -6.459 + 0.059. Let o = 6 + s. Which is the second biggest value? (a) o (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -1. Let q = -46 - -86. Suppose 5*f + 5*s + q = 0, 2*s - 2 = -0*f + 4*f. Sort 1, f, l in ascending order.\nAnswer: f, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9694373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 225*w - 1125. Calculate u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + -3 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -101*s**3 - 2*s**2 - 120*s + 119. Let t be v(1). Let j(h) = 11*h**2 - 3*h - 3. Let x(p) = -188*p**2 + 52*p + 52. What is t*j(m) - 6*x(m)?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -863, -763, -597, -365?\n\"Answer: 33*k**2 + k - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/8, 13\/2, 3\/7?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789833.\nAnswer: 11, 59, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*d = 63, -3*d + 81 - 18 = -3*i. Let p = 30 + i. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Suppose 0 = p + k*p, 3*w - 5*p - 6 = 0. Let s = 3 - w. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g - 4*w, 6*g - 4*g - 2*w = 10. Suppose 0 = 2*l - 4*a + 18, -4 = -g*l + 4*a - 6*a. Let t(i) = 14*i - 1. Calculate t(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 342115.\nAnswer: -2052690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**5\/60 + i**4\/8 + i**3\/3 + 5*i**2. Let g be z(-3). Suppose -2*u = g*u - 28. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 60)*-1*(16 + -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32214892*m**3 + 22098377*m wrt m?\nAnswer: 193289352*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-9)*h))*h**(-21))\/(h**(-17)\/h*h*h*h\/(h**(6\/13)*h)) assuming h is positive.\nAnswer: h**(-163\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from gggzzgzzgz?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2, 2*m + 4*n - 46 = -m. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-7 + (-1 - -1)). Let k = -3027.03 + 3027. What is the third biggest value in 3, x, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45973.89 + -47281. Let q = u + 1288. Round q to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/((273\/4)\/7).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340 + -340. Suppose 8*q - 4439 - 281 = x. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.001832ns in milliseconds?\nAnswer: 0.000004001832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiss when four letters picked without replacement from {s: 2, i: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -230 in 0, -2\/13, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + -285 + 296?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4919 to two decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(156) - sqrt(156))*5)\/(3*sqrt(48)) + (5*(sqrt(1053) - sqrt(1053)*-2)*-5)**2*3.\nAnswer: -5*sqrt(13)\/6 + 17769375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 divided by 1065?\nAnswer: 133\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -1226, -4147, -9838, -19223?\nAnswer: -33226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 3:46 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**5 + 0*p**5 + 3*p**5)*(0 + 1 + 0) - 2*p**5 - p**5 + p**5.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4*(sqrt(75) + -1) - sqrt(75)) + 5*(-1 + sqrt(75) - sqrt(75)) - -2*(5 + -1*sqrt(75)))**2.\nAnswer: -1260*sqrt(3) + 7512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 182*p**2 + p**3 - 222*p + 222*p.\nAnswer: p**3 + 182*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2720250 by 21762.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9972 * 0.1\nAnswer: 997.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -45 (c) -2.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02120645 rounded to 5 dps?\nAnswer: 0.02121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j**3 - 2*j**2 + 2*j + 1. Is m(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436562285 < 436562283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073296111 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*a, -2*o = -0*o - a - 10. Let s(j) = -j + 5. Let n(c) = c - 4. Let h(u) = o*s(u) + 5*n(u). Let w(p) = 7*p. Determine h(w(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 26 = -5*o, 3*o - 3 = 2*f + f. Let a(k) = k**2 + 5*k - 1. Let h(j) be the first derivative of j**3\/3 + 2*j**2 - j + 34. Determine f*a(y) - 4*h(y).\nAnswer: -y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 - (1 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*b - 62, y + 89 = 21990*b - 21994*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:37 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 594*k - 606*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f - 114*f = 265 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1765 months in years?\nAnswer: 1.181375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t**2 - 7 + 12*t - 12 - 8 + 2*t**2. Let v(z) = -5*z**2 + 6*z - 13. Let j(r) = -4*l(r) + 9*v(r). Let j(q) = 0. Calculate q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -3\/2*c**2 - 7 + 4\/3*c**3 - 2*c. List the prime factors of r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*b - 8843 - 579 = 2150 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-6))\/d**(-3\/2))\/(d*d**(-1))**(-31))**14 assuming d is positive.\nAnswer: d**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2212517172.9999634 + 2212517384. Let x = f - 211. Round x to 6 decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -339, 0, 24, 2\/23 in decreasing order.\nAnswer: 24, 2\/23, 0, -4, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-264)\/495)\/((520\/(-15))\/13).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, -2, 2\/13, -5, -13.5, 2 in descending order.\nAnswer: 2, 2\/13, -5\/8, -2, -5, -13.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 61*x**3 + 0 - x + 40*x**3 as g*x**3 + r + o*x + d*x**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/31, -3, 1, 0 in decreasing order.\nAnswer: 1, 0, -10\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339.82kg in milligrams?\nAnswer: 4339820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**4\/3 - 5*r**3\/6 + 337*r**2. Let q(g) = 7*g + 4. What is 7*q(y) + 6*w(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135653.\nAnswer: 7, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31505*0.2.\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 14 = 5*g, -4 - 6 = -2*g + 3*x. Suppose 76 = -2*i + 4*v, 0*v + 76 = -g*i + v. Let j = 26 - i. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -953 - -1588. List the prime factors of j.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p + x, 2*p + x + x = 12. Let n(u) = 11 + 2*u**2 - p*u**2 + u**2 + 9*u - 17*u. Give n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89\/4 - 907\/44. Let d = w - 25\/22. Factor 3\/2*m**3 + 0 + d*m**4 + 1\/2*m + 3\/2*m**2.\nAnswer: m*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -62. Solve -4*k + 5*m = -11, f*m = -k + 2*m + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*w - 629*w = -24 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvzzzvvwwvvzvwzowv. Give prob of picking 1 o and 1 z.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 (base 12) in base 16?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeer when four letters picked without replacement from ejeeerjjrje?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767437140 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 14115*m - 352937. Determine d(25).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, s: 3, h: 4, o: 1, a: 1}. What is prob of sequence hh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 2159214322.\nAnswer: 2159214322.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 13*r - 1. Give u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-12))\/((-7)\/(-63)). Let y be (-3)\/o*6 - (1 + 1). Let u be 3*(-1 + 5) - 0. What is the highest common factor of y and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 157224, 157260, 157324, 157422, 157560, 157744, 157980?\n\"Answer: y**3 + 8*y**2 + 5*y + 157210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1567*u**2 - 2176*u**2 - 1798*u**2 as s*u + o + r*u**2 and give r.\nAnswer: -5541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 220262 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: Simplify (a**(4\/3)\/((a*a**(-3\/7))\/a*a))**10 assuming a is positive.\nAnswer: a**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 - 1\/(-1) - (33 + -34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + 3242234?\nAnswer: 3242201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -177. What are the prime factors of z?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*j + 35 + 2. Solve -j = -3*m - v - 0, -2*m = 3*v - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1838799 divided by -3.\nAnswer: -612933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/(-3) - (1273 - 1164).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 7*z - 4. Suppose -2*u - 6 + 171 = u. What is the remainder when u is divided by k(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + y - 19 = 0, -14 + 43 - 49 = 5*j - 5*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/70 - 2\/(-7). Solve -z + 10 = -2*x, -x + 3*z + 0 - 15 = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*m + 1931 - 1891 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1)*13\/1. Let g(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + 5*m**3\/3 + 8*m**2 + 4*m + 3. Let l be g(7). Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918739713.\nAnswer: 3, 701, 436871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 133*c**2 - 197*c + 153. What is the remainder when 5080 is divided by i(65)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 67 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 20*w - 15*w. Suppose w = v - 6*v. Let n(i) = -6*i - 18. What is the units digit of n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-5 + 0 - 3)*(-3*v - 1 + 1) - 4*v - 8*v - v + (-2*v + 2*v - v)*(-1 + 0 + 0) in the form b + w*v and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-15) + 12\/15. Find the common denominator of 64\/3 and 1\/g - (-438)\/(-99).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/60 + 30*a**2. Let p(n) = -16*n. Determine p(y(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75.7 + 22.8. Let s = l + -98. Suppose -4*v - 3 = w, 3 = -w + 5*v - 2*v. What is the nearest to 4 in w, s, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001011001000 (base 2) to base 9\nAnswer: -18744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2155 = 8661 + 3056. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1072.07 and 0.1521?\nAnswer: 1072.2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 7*w - 3. Calculate the remainder when 15 is divided by b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 5*q - 12 to p + o*q and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**(-1\/3)\/(h\/(((h**(-2)*h)\/h)\/h))**18*(h*h*h**(1\/4)*h)**(10\/3)\/(h**7\/(h*h**(-1))) assuming h is positive.\nAnswer: h**(-2041\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4) + -1)*(12 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014879 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/54 and (4 - 1)\/(-9) - (-156)\/96?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*a - 15*a - 3*w - 14, 7*w + 28 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.05 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 5. Let z(h) = 5*h + 45. Let q(d) = 3*t(d) - z(d). Let y be q(-4). Solve -y*x = p - 1, -1 = -5*x - 3*p + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 46 + 43 + 14)*(2*s + 0 + 0).\nAnswer: 194*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z + 1015. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2224*z**3 + 1177*z**2 wrt z.\nAnswer: 13344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 352*p - 13. Let x(j) = -176*j + 6. Let r(h) = -3*o(h) - 5*x(h). Is r(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 97*w**2 + 61*w - 354. Calculate z(5).\nAnswer: 2376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5592 - 3941. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -431608 or -431609?\nAnswer: -431608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + (sqrt(171) - (-1 + 2 + sqrt(171) + sqrt(171))))*-3)**2.\nAnswer: 9234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 39 = 105. Let q = 43 - k. Let j be (2 - -16) + q - 1*-2. Solve -19 = 4*g + 3*v, 0*g = -5*g + 5*v - j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + (1 - 12) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5671453422?\nAnswer: 2, 3, 461, 2050417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1042*u**3*v**5 - u**3*v**4 + 77*u**3*v**2 - 5*v**2 + v wrt v.\nAnswer: 62520*u**3*v**2 - 24*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31298, 131, -1 in decreasing order.\nAnswer: 131, 2, -1, -31298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8212 = 17*z - 49*z + 1569964. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let j(l) = -l**3 + 12*l**2 + 12*l + 17. Let g be j(13). Find the third derivative of -4*z**2 - m*z + z**5 + 0*z**5 + g*z wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i\/i**5*i*i)*i)**(1\/18) assuming i is positive.\nAnswer: i**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6699513869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 2*u + 6. Let r be a(-6). Let n be r\/7*(20 + 8). What is the highest common divisor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3229, 51, 37 in decreasing order.\nAnswer: 51, 37, -3229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.6 or 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -777, -1541, -2287, -3003, -3677, -4297, -4851?\n\"Answer: 2*v**3 - 3*v**2 - 769*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Suppose 13*o + 29 - 81 = 0. Solve 0 = o*y + y - 15, -y = c - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from bydwlwr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 222564495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {r: 2, f: 15, k: 3}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 15) to base 13\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767 < 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1497 - 1443. Suppose 0 - 6 = 3*u. What is the units digit of (-12)\/(-3) + i + 0\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29399 or -133?\nAnswer: -29399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-20))\/((-879)\/4395)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2457.8 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-8)\/6) + 0\/3. Suppose 578 = 2*h - 4*y, -o*h - 2*y = -780 - 55. Let f = h - 177. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*4\/(-728)*-13?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 - 2*g**3 + 2*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -29. Let q = -10 + 17. Let r = b + q. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -275*w**2 + 5*w. Let p be 3*(3 - 42\/9). Let t be d(p). Round t to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4087 = -2*j - 2271, z - 1587 = 3*j. Let a = 2351 - z. What are the prime factors of a?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100150 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14730 + -14726. Which is the smallest value? (a) m (b) 0.1 (c) 2\/5 (d) 0.2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 0.834\nAnswer: 0.10842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 2. Let f(b) be the second derivative of -b**4\/12 + b**3\/6 - 3*b**2\/2 + 4*b. Let m be f(3). List the prime factors of d(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/12 - 13*a**3\/6 - 4*a**2 + 6*a. Let n be u(-12). Solve d - 11 = -s - d, -n*d = -s - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 30 = 2*v. Which is greater: -9 or v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92 and 11.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1325848936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/21)*t*t*t\/(t\/(t*t**14\/t)) assuming t is positive.\nAnswer: t**(335\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000139 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q + 19. Let y be f(0). Let b = 22 - y. Suppose -4*n + 2*n - 105 = -b*x, -4*x - n = -151. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -2)\/(-1)*(13\/(-2) - -6). Solve -2*r = -s - 15, 2*r - 30 = s - x*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4773 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -35. Let u(k) be the third derivative of -1\/96*k**6 + 0*k - 1\/120*k**5 + 1\/12*k**n + 0 + 5\/96*k**4 + 5*k**2. What is j in u(j) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/13214 or 1?\nAnswer: -19\/13214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(22)\/sqrt(2))**2 - 3*(sqrt(22)\/sqrt(2) + sqrt(11)).\nAnswer: -6*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12 + 4*a - 2*a - 12. Let r(w) = -2*w - 27. Calculate r(t(f)).\nAnswer: -4*f - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i. Let w(f) be the second derivative of f**3\/6 + 15*f. Calculate w(s(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117271*u**5 - 164 - 5*u**3 + 117326*u**5 + 6*u**2 + 54 wrt u.\nAnswer: 3300*u**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 3*v**3 + 6*v**4 + 4*v**3 - v**4 - 3*v**4 + 5*v**4 + 4*v**2 - v**4 - 4*v**2 + (-3 - 2*v**2 + 3)*(-2*v**2 + 5 - 5) - 2*v**4 - 5*v**3 + 5*v**3.\nAnswer: 8*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 93570114 = a. Suppose -y = 3*y - 133540228. Let s = y + a. Round s to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*p - 7296 = -97*p. Let k = -608 - p. Is 3\/101 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 5*q + j = 0, 5*j = 4*q. Solve -558*t + 567*t - 45 = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*h - 2*h**2 + 0*h**4 + 11*h + 2*h**4 + 15*h - 5*h**3 to z*h**3 + r*h**2 + x + k*h + o*h**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000078 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*g**3 - 6*g**3 + 6*g**3)*(12*g - 2*g + 5*g)*(-1 + 0 - 1) to u*g**4 + a*g**3 + w + b*g**2 + m*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + l + 2*l**2 + l - 3. Let y be f(5). Calculate the common denominator of (-93)\/y - (-2)\/6 and 8\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/39)\/((-5)\/50). Is n greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - 7*b**2 + 2*b. Let p(k) = -4*k**3 + 13*k**2 - 4*k. What is -4*p(d) - 7*s(d)?\nAnswer: 2*d**3 - 3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*d - 80, 20 = 16*l - 21*l. Let g(s) = 0 - s - 3 + 7. Calculate the remainder when d is divided by g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114154641*f**2 + 150904963*f wrt f.\nAnswer: 228309282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 19)*1\/(-2). Let q(y) = -37*y - 33. Let j be q(n). Let r = -104 + j. List the prime factors of r.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 82525470*y - 82525465 = 0. What is y?\nAnswer: 1, 16505093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 3*l + 610 - 291 - l - 304 as a*l + p + z*l**2 + x*l**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - (-5)\/6. Let q = -162.803 - -164.803. What is the nearest to 6\/5 in q, -0.5, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:34 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 18 - 26 = 0. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-9)\/3 - 0. Suppose -2*l = 2*y - 3 - 7, -b*y - 3*l = -13. Suppose y*p + 2*p - 52 = 0. Calculate the remainder when 24 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p**5\/p)))\/(p\/p**(-3)))\/(p\/((p*p*((p*(p*p*p*p\/(p**0*p*p*p)*p)\/p*p)\/p)\/p)\/p*p*p))**43)**(-1\/2) assuming p is positive.\nAnswer: p**(-129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-7)\/(-14))\/((-6)\/20)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:59 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -20704*o**2 - 4*o - 20. Let k be w(4). What is k rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(140)\/sqrt(10))\/sqrt(7) + -3 + (sqrt(882) + 4)**2).\nAnswer: -4475 - 845*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48029 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10143 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (3\/6)\/(5\/10)*-10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdl when three letters picked without replacement from rfffrumluduflruuumlr?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 683 and 29328.\nAnswer: 20031024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*a**4\/2 - 383433*a**3\/2 + 787401*a**2 - 848094*a + 80772 = 0. What is a?\nAnswer: -6731, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1636.52 - -1637. Let z = -3.12 + 3.8. Let f = q - z. What is the third smallest value in 2, f, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m**2 + 9*m - 6. Let k be d(-6). What is the units digit of (k\/42)\/(10\/175)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15851, -15834, -15807, -15770, -15723?\n\"Answer: 5*a**2 + 2*a - 15858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16042919 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/90 - 13*h**4\/3 + 676*h**3 - 52728*h**2 + 9*h - 9. Factor s(g).\nAnswer: 2*(g - 78)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 34838462 a multiple of 911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5819, -1\/4, 0.2, 35, -1\/16 in descending order.\nAnswer: 35, 0.2, 0, -1\/16, -1\/4, -5819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 1, d: 2}. Give prob of picking 1 k and 2 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 163 * 0.1.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-171)\/608)\/((-12)\/(-8))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -2123.5.\nAnswer: -2123.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*d + 3*z, -418*d + 416*d = -3*z + 3 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -10, 458?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6256726, 25026920, 56310576, 100107694, 156418274, 225242316, 306579820?\nAnswer: 400430786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 20 = -17*t. Let g be (-8)\/(-14888)*2\/t. Let b = 180513\/14888 - g. What is the common denominator of b and 32\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -233, -2006, -6951, -16700, -32885, -57138, -91091?\n\"Answer: -272*f**3 + 46*f**2 - 7*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23508b (base 15) in base 3?\nAnswer: 10011201222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) 2\/7 (c) 95 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 19590464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:21 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n*n*n**(-2\/21)*n)\/n)\/n)**(-1\/9) assuming n is positive.\nAnswer: n**(-61\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {g: 5, p: 4, b: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = 4*y, -y + 20*u - 15 = 23*u. Suppose 3*d - 3*k + 188715 = y, 0 = -0*d + d - 3*k + 62915. Round d to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8884*c + 92 + 9717*c - 86 as r*c + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 4*z**2 + 5*z + 3. Suppose -g - 3 = -0*g. Let n be s(g). Let u(d) = 4*d**2 - 3*d - 3. Is 21 a factor of u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*v - 493 = -6*v, 2*i - 194 = 2*v. Suppose -2*u = -i - 408. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 2}. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-4 - 4 - 4) + 7 + 0 - 3)*(-4*t + 3*t - 2*t).\nAnswer: -84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -i + 10, 3 = 3*i + y. Suppose 32 = -i*f + 4*f. Calculate the highest common factor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2125*a**2 + 1910*a wrt a?\nAnswer: -4250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -143, 2, -5, -105, 3, -1 in decreasing order.\nAnswer: 3, 2, -1, -5, -12, -105, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:52 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 3530*y**2 - 3971023*y + 982785748.\nAnswer: (y - 469)**2*(y + 4468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 446 = -t, 16 = 15*t - 11*t. Calculate the greatest common divisor of p and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (205*2\/30 + 115\/(-69))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26281948*0.5.\nAnswer: 13140974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let l(w) = 8*w - 32. Determine -l(c) - 10*s(c).\nAnswer: 2*c + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = 5*m - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:53 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278990357, 557980712, 836971067?\nAnswer: 1115961422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 6*y**2 + 52 + 196 - 4*y**2 - 496 + 10*y**3 as t*y**2 + w + i*y + b*y**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)\/u**(-2\/3))\/(u**(2\/33))**(2\/13) assuming u is positive.\nAnswer: u**(184\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.231 - 4\nAnswer: -3.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -15\/2, -1, -0.06, -65.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84582.52l in millilitres?\nAnswer: 84582520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 380, -1, -7, -5 in decreasing order.\nAnswer: 380, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 27 = 3*z, -m + 8 - 41 = -5*z. Suppose 4*p + z = 26. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.003? (a) -3\/4 (b) -4 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4567 is divided by 382?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237034, -473899, -710774, -947665, -1184578?\nAnswer: -1421519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47\/70 - 6\/35. Let z = 4 + -3.6. Let r = z - 0.4. Which is the second biggest value? (a) r (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2530.51 and -7.\nAnswer: 2523.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 123 and -0.87?\nAnswer: 123.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, -3\/565, -0.5?\nAnswer: -3\/565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/12)\/((-2)\/3))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(265\/(-135) + 2). What is the common denominator of 143\/42 and ((-21)\/b)\/((-26)\/(-143))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1143 and 57.\nAnswer: 21717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 - -540. Suppose -264*q + o*q = 6. Solve -7*m = 4*x - 3*m, q*x - 3*m = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1599 by -4842.\nAnswer: -533\/1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (330\/3696 + 4\/14)\/(2\/16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 0 + 0)*((1 + n - 1)*(0 + 3 - 1) + 3*n - 2*n + n + n + 0*n - 3*n + 0*n - 3*n + 11*n) to w*n + r*n**2 + f and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 104.5. Let p = 0.3 - 0.2. Which is the closest to -2? (a) f (b) p (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18794 is divided by 1107?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-295)\/35 - (-9)\/21. Let z = -0.44 + 0.64. Which is the nearest to z? (a) -2\/3 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12*n - 182 = 0. Suppose 0 = p - k, 3*p + n = 6*p + 4*k. Solve 0 = 3*j + p*g + 12, 2 = -4*j + 5*g - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15e92fd8 + 5?\nAnswer: -15e92fd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -13*v - 1. Let d(z) = -22*z - 64. Let t be d(-3). What is m(t)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 165 - 165 + 24*v**5 - 4*v**3 + (v**4 + v**3 - v**3)*(-5*v + 2*v + 4*v).\nAnswer: 25*v**5 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 79422083 to the power of 1\/2, to the nearest integer?\nAnswer: 8912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2 - -3) + 2. Let s(p) = -6*p - 5 - p + 2*p - p**2 + 2*p**2. Determine s(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 694930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -9, -18, -21, -12, 15, 66?\n\"Answer: v**3 - 6*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14434614 (base 7) to base 15\nAnswer: 1c0eec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 2, n: 1, q: 1, c: 1, e: 1}. Give prob of picking 1 q, 1 l, and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/20 - 7*s**5\/60 + s**4\/24 - 7*s**3\/6 - 4*s**2. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-12)\/(-28) + 1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3177710555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5 - 984*r**4 - 131770*r**3 - 6886908*r**2 - 125420400*r = 0.\nAnswer: -316, -63, -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.033 in 29, -8, -0.1, -162?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8404 times -14?\nAnswer: 117656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - -2 - 1 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 36*s**2 + 325*s + 3. What is o(7)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k - k**2 + 0*k. Let l = 28 - 29. Calculate v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 41*y - 25. Let r(p) = 144*p - 90. Let c(x) = 18*o(x) - 5*r(x). Let l(t) = -4*t. Calculate l(c(v)).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 14*k + 9*k - 20, 91*k - 12 = -3*z + 88*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*l + 90 = 0, 2*l = -5*d - 0*d + l - 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 541, 1997, 4823, 9469, 16385, 26021, 38827?\n\"Answer: 75*p**3 + 10*p**2 - 19*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/7 of a week in minutes?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 - 7*u + 1. Let o be z(7). Let h be (2\/18)\/(o\/3). Sort 1\/5, h, -4 in decreasing order.\nAnswer: h, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*z**2 - q*z + 152032261*q - 29724*z**2 + 23*z wrt z.\nAnswer: 2*q*z - q - 59448*z + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 23*n**2 - 8*n + 32. Let w be (20\/6)\/(51\/((-10098)\/55)). Calculate c(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -60, -61, -62?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -499.7, 2 in decreasing order.\nAnswer: 49, 2, -499.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1766142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -112203, -448779, -1009735, -1795071?\n\"Answer: -112190*w**2 - 6*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - g = -25, -z = 4*z + 2*g - 30. Solve 0 = o - 3*p - 1, 3*o - z + 1 = -4*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49207 or -49229?\nAnswer: -49229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9290983*u + 6204621 wrt u?\nAnswer: 9290983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -446 divided by -645599\nAnswer: 446\/645599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/77 - (-34)\/7. Suppose -d*j + 602 = 4*c, 5*c - j - 767 = -0*c. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - -49. Let p = f - 71.9. Let g = 3 - p. Is g at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0, -1890\/13, -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -124*y**2 + 126*y - 584. Calculate g(6).\nAnswer: -4292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -113*k**2 + 3859*k + 3365. What is q(35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 9*f**2 - 9*f - 7. Let q be o(10). Sort q, 5, -4, 0 in ascending order.\nAnswer: -4, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 less than or equal to 13318\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 33*m = -m + 994572. List the prime factors of m.\nAnswer: 2, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*y - y. Let n be (1*(-8)\/(-250))\/((-6)\/y). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1132, -1200, -1364, -1672, -2172, -2912, -3940, -5304?\n\"Answer: -8*d**3 - 12*d - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -27. Let j be (8\/r)\/(2\/(-9)). Solve -j*g - 2 - 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -47*u + 51*u. Let w be 0 - (-4)\/(10 - u). Which is the nearest to 0.02? (a) w (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = c + 42, -66 = -5*o - 9*c + 5*c. What is the remainder when 311 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10579 - 10578.9999985446. What is p rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05074265 to five dps.\nAnswer: 0.05074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 + -354. Let k = -150.96 - z. Which is the closest to 0.1? (a) k (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 43*f**2 - 29*f + 4549. What is q(41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 58150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373 - 1463\/4. What is the common denominator of u and ((-7)\/104)\/((-18)\/1260) + -5?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 1131*h**3 + 567*h**3 + 8 + 18*h - 13 + 566*h**3 to the form v*h**2 + i + k*h**3 + d*h and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4267 + 4308. Calculate the highest common factor of 2009 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-671)\/(-99) + -7)*3 - 147\/(-234).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14403930 + 2*s**3 - 14403930.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 6*i**2 + 4*i - 25. Determine r(-6).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1767*p. Let o(b) = -105*b. What is c(o(m))?\nAnswer: -185535*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:27 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7986, 7945, 7904, 7863, 7822, 7781?\n\"Answer: -41*s + 8027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2443, 4772, 0.\nAnswer: -2443, 0, 4772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50154338 to the nearest integer?\nAnswer: 7082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1271769.\nAnswer: 1271774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -31 - 7\/17*z**2 - 2\/17*z**3 - 44*z + 1\/102*z**4. Let w(i) be the first derivative of y(i). Factor w(u).\nAnswer: 2*(u - 7)*(u + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 63. Put 2, 4, y, -2 in increasing order.\nAnswer: -2, 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 12901*u + 4307397. Give v(343).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3653*x**4 + x**2 + x - 6326.\nAnswer: -14612*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137649042.\nAnswer: 2, 3, 419, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-6)*(-22)\/(-55)*1*1986. Is j less than or equal to -1323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 3. Let o be m(-3). Let v be 33\/o - (-3)\/2. What is the highest common factor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.86 - -2. Let p = c + -0.13972. What is p rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 5*t, 2*t - 4 = -2*f - 8. Let p be -1 - 0 - t*-5. Suppose -4*d = p*m - 88, -d - 4*d + 3*m = -94. Solve -8 = 4*b - d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3011 (base 4) to base 3\nAnswer: 21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000452 > 1000577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 113515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {g: 3, f: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 35*a**2 + 4*a + 174. Let p(v) = -17*v**2 - 2*v - 87. Let g(t) = 3*b(t) + 7*p(t). Find the first derivative of g(c) wrt c.\nAnswer: -28*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u. Which is the third biggest value? (a) 0.2 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 112*n + 225\/2.\nAnswer: -(n - 1)*(n + 225)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 11 + -3 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 2. Let t be u(-2). Let w = 8 - t. Suppose -4*r - 5*g + 3 = -41, r = 3*g - w. Solve 4*z = 6*z + r, -5*z = 2*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1912.\nAnswer: -5\/1912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -128\/3*m**2 + 256\/3*m + 32\/3*m**3 + 1\/15*m**5 - 4\/3*m**4 + 3. Let g(n) = 0. Calculate n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11300 and 1153052?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.2, 4, 5, -636?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035.8807 rounded to the nearest 10?\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u. Let l(b) be the first derivative of 57*b**2\/2 + 593. Give l(z(c)).\nAnswer: 171*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -7 + 4. Suppose -g*b + 19 = 2*a, 0 = 2*b + 3*b - 5*a + 10. Solve q - b*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 22*j**3 + 98*j**2 + 37*j + 4. Determine z(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002457679011 to seven decimal places.\nAnswer: 0.0000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a + 61. What is n(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 - 8*y + 4. Let l be x(-7). Suppose -4*q + 5*g = -23, 8 + l = 2*q - 5*g. Solve -5*b - 5*j - 4 - 1 = 0, -2*b + q*j = -10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001000010 - 11?\nAnswer: 1010000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**5\/12 - 5*c**4\/6 - 5*c**3\/2 - 17*c**2\/2 + c + 60. Let a(i) be the second derivative of q(i). Factor a(x).\nAnswer: -5*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44669 - 44669.041775. Round u to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 23769 + 74677 = 3*m, 2*m = -4*a + 33928. Let y be m\/12780 + (2 - (-20)\/(-6)). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**2 - 4664. Let u(b) = 26*b + 95*b - 28*b. What is t(u(d))?\nAnswer: -186*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*a, -3*y - 78*a + 76*a - 9 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55872 is divided by 1054.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 16*n**2 - 42*n - 20. Give g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184.3371*-5.\nAnswer: -921.6855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 475800 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 3843.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 320 (base 15) to base 5\nAnswer: 10310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-168)\/(-196))\/((8\/(-14))\/4). Let y = k + 328. Calculate the greatest common factor of y and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 4*u + 23. Let x be y(-7). Let d = -5243 - -146745\/28. Find the common denominator of d and (-1116)\/(-20)*(39\/(-18) + x).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 1. Let a(x) = 3*x**3 - x**2 + 19. Calculate -a(f) + 5*o(f).\nAnswer: 2*f**3 + f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eex?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1169, 1036, 895, 746, 589?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -82. What is the nearest to 0 in g, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - w + 16, -3*o - w + 29 = 0. Let b = o + -6. Suppose -5*s + 19 = -5*m - 6, -5*s + b*m + 40 = 0. What is the remainder when 39 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -6*d + d + 90, d + 4*u = -2. Let x = 22 - d. Let s(j) = -j**2 + 7*j + 3. Calculate s(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 306 - 621 + 323.\nAnswer: -5*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -87016308 divided by 5?\nAnswer: -87016308\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 13*x**2 - 13*x - 3. Calculate n(-11).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11 - 4) + 8 - 10) + (9 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 35 = s. Let b(q) = 5*q - 5*q + 7 - q. Let r be b(s). What is the greatest common factor of 36 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43493820 - 20.1128.\nAnswer: -43493840.1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 13 - 241 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-2*(-85)\/(-51)*6\/5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 7, 9, 4, 3 in descending order.\nAnswer: 14, 9, 7, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (516\/258)\/(2\/25).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-156))\/((-22)\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20776, 81510, 182730, 324436, 506628?\nAnswer: 729306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6950, 6959, 6980, 7019, 7082?\nAnswer: 7175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.015 - 2.\nAnswer: 13.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 44 (c) -2 (d) 39\/4 (e) -308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 + u + 2. Let t be f(-1). Suppose 10*n - 4 = t. Are -2\/37 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 2320?\nAnswer: 39440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.122371189 rounded to 4 decimal places?\nAnswer: -0.1224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*w - 24 = -2*w, -3*w = x - 21. Suppose -l + 5 = 0, 3*l - 181 = -2*q + 4*l. Calculate the remainder when q is divided by 14 - 1 - x\/(-8)*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(3) + -2 + 3 + sqrt(3) + -3))**2.\nAnswer: -300*sqrt(3) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r + 9. What is the units digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = 10. Let r be f\/(-1) - (2 + -4). Determine v, given that 5*v**4 + v**r - 3*v**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 0*r**3 + 2*r**4 - 8*r**3 + 10*r**3 to the form u*r**2 + h*r**4 + p*r**3 + y + j*r and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*a**3 + 2575*a**2 + 1130*a - 1480.\nAnswer: -5*(a - 74)*(a + 1)*(7*a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((142\/923)\/(10\/52))\/(6\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/378 and -17\/27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*c**3 + 297*c + 12*c**3 - 152*c**2 - 437*c - 24.\nAnswer: -4*(c + 1)*(c + 3)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, s: 1, c: 5, q: 2, e: 1}. What is prob of picking 3 a and 1 q?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 16. Suppose n*d = -5*m + 818, -m - 5*d = 2*m - 487. Let o = 1005 + m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/3 - 38*u**4 + 1408*u**3\/3 - 246*u**2 - 6161*u\/3 - 1300 = 0. What is u?\nAnswer: -1, 3, 13, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/7, 2\/3, -150 in increasing order.\nAnswer: -150, -1, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = i + 2*v, 4*i - 9*v + 1 = -4*v. Let x be i + 1 - 10\/(-15)*-6. Solve -h - x*h - 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i. Let w(b) = b**3 + 4*b**2 - 7*b - 6. Let m be w(-5). Let c(u) = u - 5. Let f be c(m). What is l(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(972)*1 + 4 + (sqrt(48)\/(sqrt(4)*1) + sqrt(12))\/(1*sqrt(36)).\nAnswer: 4 + 56*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 802\/3 - 39196\/147. What is the common denominator of 48\/49 and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -17. Suppose 0 = 8*a - 5*a + 48. Let s = q - a. Sort s, -4, -2 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0120937573 rounded to six dps?\nAnswer: -0.012094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 + 138*d = 0 for d.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2. Let t(a) be the third derivative of 2*a**3\/3 + 36*a**2. Let q(b) = b + 3. Let f(k) = 4*q(k) - 3*t(k). Calculate f(v(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 92*c + 2. Let u be a(-4). Let y be (-1 - 0) + u\/(-3). Suppose 3*t - n - 14 = 2*t, 3*n = 4*t - 53. What is the greatest common factor of y and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 79*x**2 - 2*x + 1. Let n be p(1). Let h = n - 248. What is the common denominator of -79\/12 and (24\/(-400))\/(12\/h)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t - 3*t)*(2 - 2 - 1) + 9 - 11*t + 0 - 5.\nAnswer: -6*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/5 - 4\/5. Let t = -0.56 + -0.04. Let q = t - 0.4. Which is the closest to q? (a) 0.4 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 441*s**5 + 629*s**2 - 312*s**2 - 317*s**2 - s**5 - 3*s**2 + 3*s**2 + (s**4 + 0*s**3 + 0*s**3)*(-2*s + 1 - 1).\nAnswer: 438*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 20*x - 354. Give g(43).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 223*o**2 + 3*o - 196. Let v(q) = 441*q**2 + 7*q - 392. Let b(m) = -5*k(m) + 2*v(m). Find the second derivative of b(f) wrt f.\nAnswer: -466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-77)\/(-7))\/(-11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + n - 2199 + 516 = 0, 4*t = -4*n + 1356. Calculate the greatest common divisor of 48 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -1\/78*s**4 - 6 - 4*s + 1\/195*s**6 + 0*s**5 + 0*s**2 + 0*s**3. Let l(g) be the first derivative of u(g). Factor l(b).\nAnswer: 2*b**2*(b - 1)*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -4*n**3 - 1. Let m(h) = -2*h. What is m(w(d))?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 16279890*m.\nAnswer: 5*m*(m + 3255978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/3 - 302*d**3\/3 - 300*d**2 - 33*d + 7. Let l(o) = 0. What is o?\nAnswer: -150, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*k = -70*k - 25*k + 1371 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1\/3 (c) -1\/6 (d) 0.2 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 4*d - 3. Calculate l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(-50)*(104\/8 + -15)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463, -464, -465?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*i**3*j - 7*i**3 - 2*i**2*j + 25*i*j - 5 wrt i.\nAnswer: -516*j - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -22*1\/(-4)*14. Let j(t) = -6*t - 12. Let f be j(-10). Let p = m - f. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 23, 22, 7, -28, -89, -182?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 10*s**2 + 4*s + 47. Let a be g(9). Suppose 0 = 4*d - 3*d - 4. Suppose 2*b + 3*b = -d*u - 1, 5*u + 20 = 0. Solve b*p - 2*p - a = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z**4 - 14*z**3 = 0. Calculate z.\nAnswer: 0, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 64.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b - 108 = b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (-6*sqrt(192) - sqrt(12)))\/sqrt(4) - -2*(sqrt(3) + 1)*3 - ((sqrt(108) + -1 - sqrt(108)) + sqrt(108) + -2)*-6*-4)**2.\nAnswer: -17472*sqrt(3) + 43716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051 * -0.12.\nAnswer: 0.00612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10926 divided by 6.\nAnswer: -1821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2077*d**3 - 5549*d**2 + 11097*d**2 + 5 - 5546*d**2 to a + t*d + z*d**3 + u*d**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*d + f + 8396 = -3*f, -2*f - f - 42 = -2*d + 3*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 8*s = -15*s - 260 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 divided by 2?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + 3*w**4 - 2*w**4 + (4*w**2 + 0*w**2 - 6*w**2)*(-w - 2*w**2 + w) + 1 - 1 + w**4.\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6874617 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30888.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - t - 30 = 9, -132 = -4*j - 2*t. Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 3484?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 4. Let p = 8 - s. Suppose -g + 2 = -2*n - 18, 44 = p*g + 4*n. Calculate the highest common factor of g and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.384 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1309 - 927. Suppose -c + 24582 = -2*j. What is j rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 28.99799. Round d to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101.77 - 102. Let l = -96.77 + p. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let d = -209 + 208. Let p(w) = -2*w**2 + 2*w. Let m(n) = d*p(n) + 2*v(n). Let t(q) = 2*q**2. Give m(t(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3034 by -74.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 13*c = 28*c + 5*q - 69, 34 = 4*c - q + 13 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*p - 128 = -134*p + 2*n, -3*n - 66 = -3*p. Let d(j) = -7*j + 23. Let z(q) = q + 1. Let x(m) = -d(m) - 3*z(m). What are the prime factors of x(p)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - -2.6. Let m = 6 - 3. Sort d, 0.2, m, -2 in ascending order.\nAnswer: -2, 0.2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6575*y**2 + 6573*y**2 - 93 + 34 to the form o + v*y + a*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 - 9. Let n be c(-3). Solve n = -3*q - 8 - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 3*t - 19, t - 30 = -3*p - 29 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -27, -11, 23, 81?\n\"Answer: a**3 - 3*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j + 304 + 2*j**2 - 132 - j**2 - 186. Calculate i(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b - 1. Let l(u) = -4*u**2 - 8*u - 8. Let p be ((-1)\/3*3)\/(0 - 1). Calculate p*l(x) - 8*a(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 494851149 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 12:48 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 203. What is j(36)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-12)\/(-24))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.22 + -5.3. Let g = a + 1.3. What is g rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-12)\/15)\/((-7)\/35). Is (-3)\/((-6)\/x) - (58 - 61) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18168563 + 6056182 + 6056195 - 4*y**3 + 6056186.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, z: 2, i: 2, b: 6}. What is prob of sequence jjji?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.09 - 29.09. Which is the smallest value? (a) -0.2 (b) w (c) 11 (d) -4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 174? (a) 71 (b) 29 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwwh when four letters picked without replacement from {w: 3, h: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3747*o + 181. Let i(n) = -n - 45. Determine -4*i(z) - t(z).\nAnswer: -3743*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 8*c - 154 + 157 + 2*c**2. Let a(n) = 11*n**2 - 17*n + 7. Calculate -3*a(p) + 7*g(p).\nAnswer: 2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12561 is divided by 480.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3457482km in meters?\nAnswer: 345.7482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -m + 11. Solve 0 = m*q + 23 + 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i, 0 = 3*o - 4064*i + 4066*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 889092.\nAnswer: 889092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3424 - -3463. What is the highest common factor of f and 8229?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 f, and 1 q when four letters picked without replacement from {x: 2, f: 12, q: 3}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493615337 to the power of 1\/3, to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, 4 in decreasing order.\nAnswer: 23, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 7*v**2 + 6*v**2 + 0*v**2 - 12*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8594 + 0.7406. Which is the third smallest value? (a) -1\/9 (b) m (c) -2 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*u + 24, s = 3*s + 4*u - 18. Let w = s - 4. Let r = 1 - w. Solve -r = h, -h - 11 = 5*t + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkcxxk. What is prob of sequence akx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -66*p + 16. Let l(f) = 22*f - 5. Let y(b) = -10*l(b) - 3*s(b). Let z be y(-2). Suppose 3*c - z = 5. Calculate the remainder when c is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:52 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00658 < 2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1639925, 1639927, 1639929, 1639931?\n\"Answer: 2*s + 1639923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 + 5 + 6\/(-4). Solve 0*q - k = -2*q + 5, 15 = j*q + k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2575 - -2476.56. Let h = q + 109. What is h rounded to 1 dp?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 4)*21\/420.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 6*x**4 - 3*x**4)*(3*x - 5*x + x) - 129*x**5 + 815 - 815 - 2*x**4 + 11*x**5 + 2*x**4.\nAnswer: -121*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = -6. Suppose h*t = 2*f + 50, -2*t - 2*t + 41 = f. Let x be -3 + 5 + -2 - -12. Which is bigger: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/9)\/((-6)\/(-9)). Let f be (-29)\/(-5) - (-19)\/95. Solve 3*t + 4*k - f = 0, 0 = -d*t - k - 0*k - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0 + 0)*(0*q + 0*q + 4*q**3) + 1 - q**4 - 1 + 0*q**4 - q**4 + 3*q**4 in the form i*q + w*q**4 + j*q**3 + o*q**2 + t and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.36 and -104.\nAnswer: 1077.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 9) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 - 408*m**2 + 810*m**2 - 402*m**2.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:44 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 88, 104, 136, 190, 272, 388?\n\"Answer: b**3 + 2*b**2 + 3*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2393.569 micrograms to tonnes.\nAnswer: 0.000000002393569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2353\/21 and -112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o. Let g(j) = 481003243*j**2. Determine g(z(t)).\nAnswer: 7696051888*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391394787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -393 - -767\/2. Let a = 9 + k. Sort -2\/15, -4\/5, a in descending order.\nAnswer: -2\/15, a, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3664 and 71\/24?\nAnswer: 10992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908*p = 2236*p + 57104 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 7*o**2 + 2*o - 9. Let r be y(7). Suppose 677*t + 370 - 452 = 595. Put r, 9, t, 0 in descending order.\nAnswer: 9, r, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21426 take away -4?\nAnswer: -21422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b + 6. Determine s(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 794 by -4.\nAnswer: -397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, -3, 0.0081?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/2 + 80*q**4 + 6057*q**3\/2 - 14353*q**2 - 37474*q - 20172 = 0. Calculate q.\nAnswer: -82, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54 and 30081.21?\nAnswer: 30135.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 * 5.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27422 (base 8) in base 9?\nAnswer: 17468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*n**6*x - 2*n**5*x**2 + 410*n**2*x**2 + 2*x**2 wrt n.\nAnswer: 5880*n**3*x - 120*n**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1662 = -391*u + 13196 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*l - 551 + 1734, 0 = -4*l - 4*i + 1588. Suppose 17*d - l = 6*d. What is the lowest common multiple of d and 7?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.7 + 1.7. Let j = -2 - -2.5. Let i = -7.5 + j. Which is bigger: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 60*d**2 - 61*d - 33. Suppose 47*j = 40*j + 217. Let o be c(j). Put -5, 57, o in ascending order.\nAnswer: -5, o, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 2*a**2 + 4*a**3 + 16*a**3 - 6*a**2.\nAnswer: 14*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1 (c) -4\/7 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128) + 0 + -1)**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76440 divided by 10?\nAnswer: 7644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/310155 and -127\/5900.\nAnswer: 365982900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, k: 6, j: 7, y: 1}. What is prob of sequence jw?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0033 + 0.0587. What is b rounded to 3 decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7201 take away 4239534?\nAnswer: -4246735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 2 - (-5 - (38 - (-5 - -17)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -22*s - 6. Let h(g) = 13*g + 4. Let d(o) = -5*h(o) - 3*z(o). Let n = 11 + -5. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -16616\nAnswer: -1495.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9690 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 + 3140 = 422*m. Solve m*i - 34*i = 189 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -12\/13, 3\/61, -5 in decreasing order.\nAnswer: 3\/61, -12\/13, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**3 - t**2 - 3*t. Suppose 0 = -3*u, 0*v + 16 = 4*v - u. What is the remainder when m(-2) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194386 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 1, -566, -5, 4 in descending order.\nAnswer: 20, 4, 1, -5, -566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:15 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324419925 divided by -5.\nAnswer: -64883985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 59528942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1709 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1793058778 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (-23 - -76) - -7 - (1 - 79).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 24 = -8*d. Let p be 44\/(d - 4) + -2. Solve -4*b + p = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/3 (b) 0.6 (c) 3\/4 (d) 4 (e) -17.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*f - 7, -2*j = f + 1. Suppose -5*u = -10 - 15. Let z = j + u. What is the third biggest value in -1, z, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 3*g + 24. Let b be k(-7). Let s(m) = 22*m**2 + 16*m - 2. Let o be s(b). What is the greatest common divisor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -52*m**3\/3 - 3*m**2\/2 + 2643*m + 929. Find the first derivative of f(r) wrt r.\nAnswer: -104*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 8:38 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20 = -65. Suppose -2*t + 2*u + 12 = 0, 5*t - 24 = u + 2*u. Suppose 3*x + 2*n = -3*n + o, 0 = 3*x + t*n - 45. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1407, -1566, -1801, -2106, -2475?\n\"Answer: p**3 - 44*p**2 - 34*p - 1330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.0271938.\nAnswer: -0.0815814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.762 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 928 + -916. Calculate the greatest common factor of a and 738.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36585276 + 175119.\nAnswer: 36760395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 23817825*r.\nAnswer: 5*r*(r + 4763565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*m = 2*a - 168*m - 29440, 5*m = -4*a + 58910. Is 95 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566*j + 1562*j + 44 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 60 - 26 = 0. Let u = 54 + v. Let f = 52 + -19. What is the greatest common factor of f and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-1\/10)))\/y**30 assuming y is positive.\nAnswer: y**(-299\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/28 - (-585)\/156. Solve -18*f + 3*u = -14*f - 22, 3*f + u + d = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3, 1 in decreasing order.\nAnswer: 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/16)\/(9\/8)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s - 25. Let i = -1836 - -1834. Which is the biggest value? (a) s (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 964.8372 milliseconds?\nAnswer: 0.9648372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 4*t + 8, 2*j - 3463*t + 3465*t = -2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 x when four letters picked without replacement from {d: 8, x: 1, u: 8}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -11689 and -5.\nAnswer: -11694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-16))\/(2\/(-24)). What is the greatest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79817 + -46336. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 10. Let g be (2\/(-5))\/(y\/(-60)). Let p be (-4)\/g*-2*0. Solve 3*n = -p*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 + -2 - (-11 + 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - -1*(-2)\/2. Let h be 7 - (6 - 8) - -3. Let a = z + h. Let u(f) = -f - 2. Let b(y) = y**3 + 2*y + 6. Give a*b(m) + 8*u(m).\nAnswer: 3*m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2899 divide 149552066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in 5, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/139 in -6\/35, 5, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {f: 1, j: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4625*m**2 + 141*m + 266. Let a be w(49). Round a to the nearest one hundred thousand.\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 29, 1\/5, -416, -1\/23?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1642 - -2755. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*v = -235*v + 108108. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32600 + 32602. Suppose -18\/7*m - 20\/7 + 2\/7*m**w = 0. What is m?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(14*(-171)\/5852))\/(((-24)\/(-99))\/4)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -335*y**3 - 1341*y**2 - 2*y + 11. What is d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237661 is divided by 1020.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 55*n**2 + 6*n - 6. Is v(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eenzufzufenefzzefinz. Give prob of sequence fne.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*b + 38, -5*b + 4*k - 7*k = -88. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t**2 + 6*t + 42. Let m(y) = -y**2. Let c(w) = -12*m(w) - s(w). What is the lowest common multiple of 22 and c(-10)?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1389 = 1423*c - 1519*c + 51 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*k + 10, -4*s + 1 = -3*k - 1. Find t such that 4*t**s - 2*t**2 - 3 + t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + z + 775 = 823, 2*z + 42 = -2*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 12. Let b be 142\/16 + (-7)\/(-56). Suppose -5*n + b = -r. What is the greatest common divisor of 6 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158956 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 80, 237, 562, 1115?\n\"Answer: 10*r**3 - 6*r**2 - 3*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 676*f - 57403. Determine m(85).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -86 in descending order.\nAnswer: 4, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -158330.8\nAnswer: -1108315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) -87.1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 42 = 6*h + 4*y, -4*h = -2*y - 78. Let l(v) = -v**3 + 19*v**2 - 16*v + 4. What is the units digit of l(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*k + 1626*k + 1514*k + 281358 = 0 for k.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**7\/840 - n**6\/72 + n**5\/24 - n**4\/12 - n**3\/3 + 3. Let g(p) be the third derivative of v(p). Give g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80047825*i**3 + 135468740*i wrt i?\nAnswer: 480286950*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 1, d: 4, b: 6, h: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.2 - 2910867542?\nAnswer: -2910867509.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -27*y**2 - 88*y + 4. Give s(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z**3 - 995*z - 1697*z + 2692*z.\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 939, 3554, 7845, 13812, 21455?\n\"Answer: 838*y**2 + 101*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -560 + 980. Let t = s + 38. What is t rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Let x(h) = h**3 + 2*h**2 - 1. Let b be x(1). Let i be (1 - 0)*b*2. Let a(d) = -4*d + i*d - d**2. Calculate w(a(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2408 and -37\/28?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72927420 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1076.3 - -1076. Sort 0.5, 2, -18, z in increasing order.\nAnswer: -18, z, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (-320080)\/(-420) + 2\/(-21). Calculate the highest common factor of 224 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*w + 209 - 517 = 216*w. Solve -w*p + 4*p + 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/8)\/((-20)\/(3200\/(-30))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -75668267151653 and -0.3.\nAnswer: -75668267151653.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 11 - 5 = k, 4*r - 5*k = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/336 + 200\/(-994). Which is the smallest value? (a) 1 (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1128)\/(-368) - 15\/25*5. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23586 and 7301?\nAnswer: 172201386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 77 - b - 2*b**2 + 3*b - 21. Let h be l(-6). Solve -r + h = -u, -5*r + u + 19 = 3*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74374 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 times -283.8?\nAnswer: 74071.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 86\/81645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**6 + 11*w**5 - 4555*w**3 + 1552256*w**2 wrt w?\nAnswer: 120*w**3 + 660*w**2 - 27330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00794849128 to four decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/233482925 and -34\/415921?\nAnswer: 2568312175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -3) + (2 + -14 + -7 - 5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 15. Let n be u(7). Suppose -2*h + n = 2*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1971*f**2 - 15. Let a(t) = -7*t. What is a(b(l))?\nAnswer: -13797*l**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40980020 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 424020251121 + -4?\nAnswer: 424020251113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5073 and -1029.\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(-i + 3*i**2 + i) - 3*i + i - 548 + 547 - 16*i**2 as t*i**2 + w*i + b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 939070 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40818 is divided by 2156?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0. Let h be (16\/(-10))\/(56\/(-20)). What is the second biggest value in h, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + ((-32)\/(-4))\/2. Suppose -r + 498 = i, -2*r + 5*i + 182 + 793 = j. Suppose 2*m - 214 = -2*n, r = 5*m - 0*n - 3*n. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3 + 206882*g**2 + 97*g - 123?\nAnswer: 12*g + 413764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*p, -2*p + 10*u + 6 = 13*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 12*n**2 + 20*n - 18. Let m(t) = -t**3 - 13*t**2 - 19*t + 17. Let d(c) = -2*b(c) - 3*m(c). What are the prime factors of d(-12)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 5 (c) -1 (d) -2\/3877 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 7*p**2 - 5*p - 4. Let m be c(6). Suppose -10 = m*h - 4. Let j = 0.08 + -0.28. Put h, 4, j in decreasing order.\nAnswer: 4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - o = -0*b + 20, b + 3*o = -8. Let t be 2\/4*(b + -2). Let l = 8 + 1. Solve l - t = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34444656 (base 7) to base 13.\nAnswer: -819657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 28 = -3*b + 4*q, 4*q = 12. Factor -5*u**3 - b*u**2 - 864*u + 82*u**2 + 3276 + 3*u**3 + 180.\nAnswer: -2*(u - 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2\/4 - 105*c\/4 + 153\/2 = 0.\nAnswer: 3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 189 + 151 = 0. Suppose 0 = o + 3*o - b. Let w = 33 - o. Calculate the remainder when 47 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -22*v**2 - 5660208*v + 5660208*v. Suppose -b = -1 - 0. Let s(z) = b - 1 - 2*z. Calculate s(o(f)).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (1 + sqrt(468))*4) - ((sqrt(468) - (1 + sqrt(468) + sqrt(468) + -2)) + 0 + 3))**2.\nAnswer: 3300*sqrt(13) + 57253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (-5 - 5) + 3 + 2 + -11 + 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*z**2 - 23*z**2 - 26*z**2 + 87*z**2 - 2*z - 25*z**2 + 2 + 2*z**4 in the form d*z**3 + f*z + w + b*z**2 + p*z**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by -5.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/112685773?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 528182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -376, -348, -300, -226, -120, 24, 212, 450?\n\"Answer: q**3 + 4*q**2 + 9*q - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(40\/3)*5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*-1)\/(5*sqrt(125))*-1.\nAnswer: 3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -17*r**4\/4 + 3*r**3 + 95*r**2. Is 66 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(80\/140)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1413*u - 1411*u - 32. Let m be 6\/u - (-10)\/(720\/(-27)). Factor m*l + 0 + 2\/9*l**4 - 8\/9*l**3 + 8\/9*l**2.\nAnswer: 2*l**2*(l - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klkk when four letters picked without replacement from {k: 2, u: 1, j: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*u - 5292 = -272*u + 1392*u + 368 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-76 + -6) - (-7 + 23)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212220459711 - 382181277563. Let f = i - -169960816955.99999273. Let b = -896 - f. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (1 + 7) - 15 - (-2 + (5 - 6))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 17*x. Let g(i) = 0*i**2 + 3*i**2 - 2*i**2 - 3*i**2. What is h(g(q))?\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -487, -1120, -2013?\nAnswer: -3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55077806?\nAnswer: 2, 7, 757, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2. Let t(o) = 4*o - 4. Give t(y(f)).\nAnswer: -16*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y = -908 - 712. What is the biggest value in -2\/3, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -37. Suppose 0 = -5*g + 97 + 58. Let p = j - g. Solve y - p = s + 3, -4*s = 2*y - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*q + 29 + 3, n + 4 = 0. Let a(h) = -h**2 + 8*h + 6. Let p be a(q). Suppose -p*v = 881 - 4127. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 133?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 take away 102?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-69)\/(-23)*(34\/6 - 1). List the prime factors of ((-486)\/(-4))\/(7\/r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122101111 + -12?\nAnswer: -2122101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431673 = 26644*a + 1238796 - 59357 for a.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**2 + 1802126 - 1802126.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-2)*1414\/(-1010).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*j + 336 - 1259, 929 = 3*y - 2*j. Suppose -x - 5*b + 324 = -y, 0 = 3*b. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*f - 198*l + 203*l + 121 = -2*f, l = -21*f + 608 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -25154?\nAnswer: -25157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1646 + 1649. Sort -2, o, 4, 5 in decreasing order.\nAnswer: 5, 4, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/3)\/((-14)\/(-35)). Let l be 1\/(-4) + (-2)\/(-8). Suppose v*o = -m - l*m + 562, -o + 122 = -3*m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3065092, -6130182, -9195272, -12260362, -15325452, -18390542?\nAnswer: -21455632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1374629, 3, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61287*l**2 + 4 - 4 - 61286*l**2 + 122574*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 54*g**2 - 4860*g + 52488.\nAnswer: 3*(g - 18)**2*(g + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*l + 23, 2*y - 4*y - 3*l + 11 = 0. Let u(s) = -s**2 + 4*s - 6. Calculate u(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (17179\/(-123))\/((-100)\/(-12))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10226, 40360, 90522, 160718, 250954, 361236?\nAnswer: 491570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*h - 418*h = -13301269 + 2724430. Is h a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 4*o - 5, 0 = 4*o + o - 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -988, -7933, -26782, -63487, -124000, -214273?\nAnswer: -340258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285573 divided by 3.\nAnswer: 95191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 200011022 (base 3) to base 2\nAnswer: 11001110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 7.8.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1220 + 0?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/8)\/(6\/(-12)). Let u be d*(3 + -1) - -2. Solve -16 = -2*r - 5*x, -x + u = -2*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*g + 725, 7*m - 2*m - 745 = g. Is 43 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1240130)\/(-1830) + ((-4)\/6)\/(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 9*m + 43. Let i be l(-8). Let w = 37 - i. Factor 1 - 1\/2*h - 1\/2*h**w.\nAnswer: -(h - 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 - 41*n**2 + 10*n + 14. Let a be h(10). Suppose -a*g + 9*g + 25 = 0. Solve 14 = -g*c + 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 46, 4.78, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 0 (b) -42 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8 - 4*j + 2*j - j + 2*j. Let k be g(13). Let s be (-16)\/40 + (-27)\/k. Solve -s*a - 20 = -2*v, -3*v + 7*v = 4*a + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639015 is divided by 39938?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = -25*k + 5*i + 6, 3*k - 5 = 2*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + (-44 - -44) - -14?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, b: 2, y: 1, z: 1, q: 7, r: 4}. What is prob of sequence rrzy?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-1))\/(1 + 0). Suppose s*a - 10 = -2*a. Let h(o) = -o**2 + 2*o - 2. Let c be h(3). Sort a, c, 3.\nAnswer: c, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l + 613 = -197*l - 537 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 618\/7 - 88. Let s = -22.34 - -22. Let m = -0.06 + s. What is the second smallest value in m, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-4\/3)*y)*y*y)\/y)**(2\/29)*y**(-15)*y*y*y*y\/(y\/y**(-1\/5)) assuming y is positive.\nAnswer: y**(-5267\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-65))\/((-4)\/15)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38477, -38360, -38165, -37892?\nAnswer: -37541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 - 35*k + 18. Let z be t(27). Let q = 10328 - z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 - 23*b**2 - 40*b + 257. Let p be q(8). Let o = 642 - 16048\/25. What is the nearest to p in o, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -11 in increasing order.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (1 - (-2 + 2)). Suppose 164*x + 746 = 537*x. Solve -2*c = x*v - 8, 4*c - n*c + 16 = 4*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 145 = -193 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**2 - 5*m**2 - 20*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901138054.\nAnswer: 2, 29, 15536863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13 - 2)\/((-210)\/252). Suppose 0 = -z + m - 21, 0 = 3*z - m + 2*m + 47. Let c = i + z. Let y(b) = -b. What is y(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/69 - 410*2\/(-6). Let c = 136 - n. Sort 3, c, 1 in decreasing order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (5 + -4 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 36 = 3*w, -2 + 0 = z. Let i(t) = t**3 + 14*t**2 + t + 15. Let v be i(w). What is the second derivative of 12*k**2 - v + 4*k + 4 - 3 wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Let j = -2\/1167 - 2272\/36177. Which is greater: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2934*u**2 - 6694514*u + 6694514*u + 2932*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104020*i - 104017*i - 20 - 6)*(2*i - 2*i - 2*i**3).\nAnswer: -6*i**4 + 52*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -11*b + 26. Is d(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5 - 1236*t**4 + 123758*t**3 - 2860044*t**2 - 9465040*t - 6480000 = 0 for t.\nAnswer: -2, -1, 40, 81, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*i - 10 + 82 = 4*g + 263*i, 4*g = 26*i + 126 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.39 and 3.177?\nAnswer: -1.23903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 3 = 5*i, 0 = 2*f + 21 - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*j**2 - 4*j**2 - 60*j**2 - 126*j**2 - 5*j + 47*j**2 to z + m*j**2 + s*j and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkrk when four letters picked without replacement from {j: 5, r: 13, k: 2}?\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 - n**2 + 5*n**2 + n**4 + ((6 + 3*n - 6)*(4*n - 2*n + 0*n) - 19*n + 19*n + n**2)*(3*n - n**2 - 3*n).\nAnswer: -6*n**4 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 14. Calculate i(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from iiiiiiiiqqiiiiiiiii.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z**(-2\/13)\/z*z)\/z)\/z)**(-3\/17) assuming z is positive.\nAnswer: z**(45\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -394, -42.3, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -3*g - 2*n - 65, g = n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-3) - -2 - -401. Suppose 0 = -2*v + q - 115. Let o = v - -54. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84 + -80. Let w be (21\/(-9) + 2)*1. Which is the nearest to w? (a) 0.4 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 5. What is i(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 620868*n - 1241730. Calculate p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - ((18 - 54) + 51) - 9\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -88, -236, -442?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdkkkmi. Give prob of picking 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - -3.7. Let g = w - 4.5. Let m be (-1 - 1) + 28\/7. Which is the third smallest value? (a) m (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 27*v**2 + 4*v + 6. Let p be (8 + -1)\/(-9 + 10). Suppose 2*l - p*l = 10. What is the units digit of u(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 at most 234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828407 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -265 - -48. Let l be f\/(-21) - 1\/3. Let i = l + -13. Let a(m) = -m**3 - 4*m**2 - 4*m - 4. Calculate a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 5:23 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/80 - x**4\/32 + x**3\/4 - 7*x**2. Find s such that f(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1961*w - 1966*w = -50, 45 = 2*l + 5*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 4. Let m(c) = -25*c - 34*c**2 + 45 + c**3 + 11*c**2 - 10*c - 6 - 10*c**2. Let a be m(34). Determine f(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 2080 + 2123 = z, 11 = -5*o - 3*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -70*p - 6. Let r = -1386 + 1390. Let a(z) = 14*z + 1. Determine r*l(c) + 22*a(c).\nAnswer: 28*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 19*z - 323. Is c(-33) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m**3 - 9226*m**2 + 5511*m + 19371. Give t(922).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 4\/8*0. List the prime factors of 46\/u - (-3)\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = 8502 - 25142. Let m = l - -645. Let o be (-2)\/3 + (-56)\/(-12). Put 1, o, -1, m in ascending order.\nAnswer: -1, 1, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -25 (b) -0.5 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*g - 4. Let k(m) = 10*m - 8. What is the remainder when k(4) is divided by (-652)\/(-60) - (-2)\/g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 164967724658.5 and -28.\nAnswer: 164967724630.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbbbgnnbggbbpnbgbgb. What is prob of picking 2 b, 1 n, and 1 g?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**2 - 6*w - 30. Let s(k) = k**2 + k + 5. Let d(j) = p(j) + 6*s(j). Let u(i) = 6*i**2 + 9*i. What is -4*d(l) - u(l)?\nAnswer: -2*l**2 - 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -49*k**7\/12 - 539*k**6\/60 - 7*k**5\/4 + 53*k**4\/12 - 19*k**3\/12 + k**2\/4 - 10*k + 9. Factor q(m).\nAnswer: -(m + 1)**2*(7*m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*n + 81*n + 14 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 6*v**2 + 7*v - 6. Let l be i(-7). Let m be (2\/l)\/((-10)\/(-15)). Which is the smallest value? (a) -2\/5 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 13396?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 7837?\nAnswer: -3134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -19 + z**2 + 26 - 28*z + 5*z + 73. Let m be w(4). Suppose -k = -2*k. Solve 0 = -a - m*a - 4*b - 7, -a + 5*b - 13 = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2901162 and 594?\nAnswer: 26110458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47315756*b*c - 681842*b + 62 wrt c?\nAnswer: -47315756*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 6*g**2 - 40*g - 1. Let s be f(10). Sort -29, 4, 3, s in descending order.\nAnswer: 4, 3, s, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*21\/1029)\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fssl when four letters picked without replacement from mrrfmmsmsmmlmrfmmmfl.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10212091 is divided by 4417?\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2)\/(6\/(-9) + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 391 or -1524?\nAnswer: -1524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 2*r**2 - r**2)*(-6*r + 2*r - r) + 7*r**3 + 27*r**2 - 27*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 9*d + 4. Let f be q(8). Let j = -872 - -872. Which is the smallest value? (a) f (b) j (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (90\/(-25425))\/((-5)\/(-150)). Suppose -c + 4*w + 8 = 4*c, 5*c + 4*w = -8. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -42. Let h be n\/(-6) + 2\/(-3). Suppose 5 = h*x - x. Solve 3*b - 4*g - 9 = -3*g, -5*b - x*g + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*q + 7*v + 530, 177 = 2*q + 5*v. Let t = 89 - q. Calculate the remainder when 109 is divided by (88\/t)\/(3\/(-9)*2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1747 * 3871\nAnswer: -6762637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from aseezzazczza?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2469.113 less than -3?\nAnswer: 2466.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524105 (base 10) in base 4?\nAnswer: 21220033021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-33652)\/(-329) + -100 + (-1074)\/476\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769386998?\nAnswer: 2, 773, 497663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5300, 4, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 120296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/12 + 3*s**3\/2 + 12*s**2 + 11*s. Let i be j(10). Solve -5*w + 1 = -i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)*p\/(p*p**(-2)))**(-33)*((p*p*p**(-1)*p*p)**(-1\/19))**(-4\/3) assuming p is positive.\nAnswer: p**(-619\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*y, t - 3*y + 4*y + 2 = 0. Suppose 0*b - 658 = -14*b. Let w(k) = 20*k - b*k + 21*k + 3. Give w(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from rrykyreyyererrmmmmg.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyvz when four letters picked without replacement from {e: 1, y: 1, u: 1, v: 1, z: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8233434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001314 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882 and 3.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 4465, -0.01.\nAnswer: -0.01, 0.04, 4465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11081575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (1 - 18))*-1*(-68)\/8. What is the greatest common factor of m and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 5*s - 5. Let f(v) = -v**3 - 3*v**2 + 2*v - 4. Let h be f(-4). Let m be l(h). What is the units digit of 2\/(12\/9 + m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6 - 3.6. Sort -0.4, d, -4.\nAnswer: -4, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 697 and 318488?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65402, 65398, 65394, 65390, 65386, 65382?\nAnswer: 65378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 483\/348) + 1422\/(-936) + (-30)\/130.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 - 6744\/(-420))\/((-2)\/(-157970)). Let m = o - 379025\/84. Find the common denominator of m and 17\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.6 + 6. Suppose i = 0, -7*l + i - 5 = -2*l. Let y = -5 - -2. What is the closest to l in g, 3, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-4)*k)\/((k*(((k**(-12)*k*k)\/k)\/k*k)\/k)\/k))**20 assuming k is positive.\nAnswer: k**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49400 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131 + -264. Let m = c + 155. What is the greatest common divisor of m and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 times 0.0219\nAnswer: -1.1388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 5, i: 9, u: 5}. What is prob of sequence uui?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2152335 to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -16*v + 18*v - v - 1. Let t(w) = -18*w + 15. Let c be (1\/2)\/(4\/(-8)). Let q be 27\/(-2) + 18\/(-12). What is c*t(b) + q*m(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -242 and -244 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 + k**2 + 6*k + 6. Let i(r) = -5 - 4*r**3 + 21*r - 4*r**2 - 26*r + 3*r**2. What is 5*d(x) + 6*i(x)?\nAnswer: x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123729 + -50320. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven fifths of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -144*o + 0*o**4 - o**2 + 0*o**3 + 1\/5*o**5 + 0. Let b(u) = 9*u**3 - 5. Calculate 2*b(m) - 5*h(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -879743?\nAnswer: -1\/879743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 - 2*v + 5*v - 20*v - 2 + 10*v**2 + 17*v.\nAnswer: 15*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 65727?\nAnswer: 197181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 - (-10)\/40. Suppose 33*m + 19*m - 2496 = z. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.26 + 7.12. Let i = -24 - d. Let j = i - -0.16. Which is the third biggest value? (a) 2\/9 (b) -2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28901 + 28904. Let m(w) = -6*w**2 - 3*w - 1. Give m(v).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 483*g**2*p**2 + 4*g**2*p + 5*g**2*s - g**2 - 3*g*p**2 - 185*g*p*s + 2*g*p - 1 wrt g.\nAnswer: 966*p**2 + 8*p + 10*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (2*(-9)\/(-12))\/((-3)\/(-474))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iko when three letters picked without replacement from {n: 2, e: 8, i: 1, o: 2, s: 4, k: 2}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -195a3 (base 12) to base 5\nAnswer: -2142011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 248 = h - 3*h, 0 = -4*h + 8. Suppose 0 = 2*w + f + 248, -103 = 6*w - 5*w + 4*f. Is w less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14*(-4 - -5) - -34. Solve 23*b - j*b = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -181*p**8\/7 + 4*p**4\/3 - 29*p**3\/6 - 3543*p. Find the third derivative of w(y) wrt y.\nAnswer: -173760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48110 - -85477. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -1\/48*c**4 - 1\/240*c**5 - 1\/24*c**3 + 0*c + c**2 - 2. Let s(y) be the second derivative of i(y). Factor s(z).\nAnswer: -(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 3*r**2 + 3*r - 21. Let g(v) = -6*v**3 + 8*v**2 - 8*v + 62. Let s(w) = 8*d(w) + 3*g(w). Differentiate s(b) with respect to b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 955?\nAnswer: 10505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, l: 5, b: 4}. Give prob of picking 3 l.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 3*n. Suppose -n*t - 28 = 2*t. Let j(w) = -w**2 - 6*w**2 + 4 - 3*w**3 - 54*w**3 + 61*w**3 - 5*w**3 + 33918*w - 33921*w. Determine j(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {r: 4, x: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81509 is divided by 1332?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f + 10. Suppose 6*o - 3 = -3. Calculate the remainder when 28 is divided by w(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 8. Let i be a(-7). Let n(v) = -2*v. Let w be n(-2). Find the third derivative of -2*j**4 + j**w - i*j**2 - 4*j**4 wrt j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 5:28 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 38 = -5*c, -2*j - 27 = -3*c - 33. What is the least common multiple of 19 and j?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -2) + -3 - -2. What is the remainder when 260\/25 - x\/(-10) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 4*u = 73 + 57 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -3. Suppose p*z + 11 = 4*n, -4*n + n + z = -7. Solve -2*h = n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.426 + 4212.\nAnswer: 4212.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6637*l - 46463. What is x(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -76. Suppose b*y - 43 = -1. Let s = -4 + y. Solve -5*n = s*i - 14, 5*i + 0*n - 16 = -n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3073 = -3*o - 4*c, -5*c + 716 = -3*o + 3780. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -169\/9. What is the third biggest value in l, 1\/4, 9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 7*z - 1. Let g(m) = m - 1. Let p(t) = g(t) - u(t). Let k = -22 - -12. Is 10 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.19 - 16.61. Let x = 18 + u. Suppose -203 + 3 = -40*d. Which is the second smallest value? (a) -0.5 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and (520\/(-195))\/((-2)\/51)?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-8))\/((-343)\/56 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 94*j + 127*j + 21*j**2 + 2 - 145*j to b*j**2 + k*j + t and give k.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2982, -11915, -26804, -47649?\nAnswer: -74450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = g, 5*p = -4*g + 3 + 12. Let b be -2 + 2 + (5 - p). Let r(n) = 8*n**3 - 2*n**2 + 4*n - 4. What is the units digit of r(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:04 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -915, -911, -907?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 - 88 = 0. Suppose j + 24 = 2*w. What is the remainder when w is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/32 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82733*y**5 + 770*y**4 - 12*y**2 + 2749243*y + 3 wrt y.\nAnswer: -4963980*y**2 + 18480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10109\/30 + 337. Let c(t) be the second derivative of 0*t**4 - 3*t + v*t**5 + 0*t**2 + 0 - 1\/9*t**3. Factor c(k).\nAnswer: 2*k*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-28)*(-8424)\/(-108)*28\/(-42)\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 + 5*w - 1. Let b(i) = -i**3 + i**2 + 1. Calculate -b(p) - o(p).\nAnswer: 2*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 - 6*t - 1. Let r be d(-4). Let g = r - -199. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/256 and -107\/80?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**2*y - 35*s**2 + 11*s*y - 27*s + 30*y + 2600 wrt s.\nAnswer: 2*s*y - 70*s + 11*y - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v + 46. List the prime factors of i(-5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x + 2. Let v be m(2). Suppose 165 = -6*y + 285. Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 9591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + c. Let h be (-1)\/(-1*3\/6). Let x be h*(21\/6 - 3). Give s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 + 32*y**2 + 131*y + 1098. What is s(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(5\/20 - 345\/4). Suppose 30*u = d + 4. Calculate the lowest common multiple of 2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8, -5*u + 425 = 5*v - 185. Suppose 0 = -5*s - 0 - v. Let x = 40 + s. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 63655, 0.0968, -5?\nAnswer: 63655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75775 - -75775.3. Let r = -3.9 - 0.1. Sort y, 3\/7, r, 4 in decreasing order.\nAnswer: 4, 3\/7, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10223, 10155, 10089, 10025, 9963, 9903, 9845?\nAnswer: 9789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m**2 - 2*m**2 + 8*m**2 + 14*m**2. Let f(h) be the first derivative of 4 - 1 + h**2 - 2 + 0*h**2. What is v(f(l))?\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**3\/6 - 14*b**2 + 2*b - 20. Determine y(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59535 divided by -19845?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -11\/4 (c) -6 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 18*h + 1290. Suppose -4*w + h = -262. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 6*p - 7. Let i be d(-7). Let m be (-1 + i)\/(2\/(-26)). Let s = m + -6. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/10)\/(18\/6)*-2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28098, 55899, 83698, 111495, 139290, 167083, 194874?\nAnswer: 222663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 728072.4mm in micrometers?\nAnswer: 728072400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 417384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44548433 is divided by 88919.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378517 divided by -1?\nAnswer: 1378517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1719 + -1636. Let f = -225 + 309. Is f at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 102150*t + 1021499. Give b(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1 (c) -0.96 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 9 - (15 - (-11 + 17))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111 + 100?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 430 + -426. Let j(u) = -u + 16. Determine j(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10564 (base 14) to base 15.\nAnswer: -ba74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8931, -17866, -26801, -35736, -44671?\n\"Answer: -8935*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9493*b = -9748*b + 1275 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/6 - 2*p**2 + 4*p - 4. Let i(g) be the first derivative of z(g). What is the first derivative of i(w) wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 642, 430, 218, 6, -206, -418?\n\"Answer: -212*s + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 16*z**2 - 12*z - 5. Let j(r) = r**3 - 8*r**2 - 6*r - 2. Suppose -w = -8 + 1. Let b(y) = w*j(y) - 3*s(y). Is b(9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20419842.\nAnswer: 2, 3, 109, 31223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 394*q - 6213. What is b(-113)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g - 2*g - 4*g. Let i(h) be the second derivative of h - 11*h + h**3 + 5*h. Give i(r(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20, -4 = -0*l - 4*l + 2*i. What is the least common multiple of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 480*k + 97928. Calculate j(-204).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x + 2700. Let b(i) = -i**3 - 3*i**2 + 2*i - 8. Let f be b(-4). Let k be d(f). Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.4 (c) 287 (d) 31 (e) -13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19306*k - 56050*k - 38892*k + 29645*k.\nAnswer: -84603*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(3*(-5)\/(-75)). Suppose -4*n + 3*n + 36 = 0. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -14. Let o(y) = -18*y + 22. Is 44 a factor of o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 488 and 3782.\nAnswer: 15128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.23 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170989762, 341979536, 512969312, 683959090, 854948870, 1025938652, 1196928436?\nAnswer: 1367918222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1655, 2\/3, -13, -1?\nAnswer: 1655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 91.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 - (-83 + 57).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 - 11*d + 3. Let p be v(-11). Suppose 0 = 2*w + w - g - 11, -w + p = -g. Solve -r + w*u - 9 = 4*r, 0 = -4*u - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2*i*v - 998988*d**2*i*z - d**2*v + 23*d*i**2*v*z + 1804616*d*i**2*v wrt z?\nAnswer: -998988*d**2*i + 23*d*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*h + 295*h + 315*h - 2 - 667*h.\nAnswer: 258*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g = 22500 - 1245. Calculate the remainder when g is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((2*sqrt(36) + 1*(sqrt(64) + sqrt(4)))\/(sqrt(18)*-1*-3))**2.\nAnswer: -968\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*b + 91, -5778*b - 10 = -5780*b for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5159, 20660, 46489, 82640, 129107, 185884, 252965?\n\"Answer: -h**3 + 5170*h**2 - 2*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 3.9, -3, 6\/7, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -5, 5, 19, 37?\n\"Answer: 2*i**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 98616\/9 + (208\/(-12))\/13. Let l = b + -6624. What is l rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -33, -78, 125, -4 in decreasing order.\nAnswer: 125, -2, -4, -33, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7 + (-12 - 309961\/(-16269)) and -149\/90.\nAnswer: 28710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t + 6 + 0*t**4 - 1\/5*t**5 + 0*t**2 - 2\/3*t**3. What is the third derivative of r(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from googgooo. What is prob of picking 1 o and 2 g?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -119*f + 119. Determine q(-3).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -388\/829 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1093 + 389. What are the prime factors of c?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)*-1*1. Let d = 125 - 623\/5. Which is the nearest to d? (a) z (b) -0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12)**(-1\/19)*(w*w**(-3\/2))**39 assuming w is positive.\nAnswer: w**(-765\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*m - 154 = -428*m. Solve 5*i + m = -14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 4. Let q(k) = 6*k + 13. Calculate 7*d(c) + 2*q(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-240)\/24 - (-1)\/((-6)\/(-255534)).\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 t when four letters picked without replacement from {d: 3, l: 1, t: 16}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by -1.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = -9. Let r be (2 - (-4 + z)) + 4. Suppose 0 = k - 6*k. Solve -b - b + r = k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (364\/455)\/(((-12)\/70)\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (728 - 0) + (-259 - -267) and 184.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6520\/1141)\/(8\/14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*z**2\/3 - 8*z = 0. What is z?\nAnswer: -6\/37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = 4*c, 2*c - 5*c + 21 = -3*g. List the prime factors of 33\/12 - 3\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 2 - (-16 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 less than or equal to 445358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6345, 6346, 6347, 6348, 6349, 6350?\n\"Answer: d + 6344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9760583 minutes in nanoseconds?\nAnswer: 58563498000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:04 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001111101000001 (base 2) to base 9.\nAnswer: 341603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 = 0, -3*g - 533 = -4*u - 2*g. Let o = u - 69. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142482 divided by -5\nAnswer: -142482\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74.74 + -80.64. Let f = -160333 - -160338.89684. Let x = w + f. What is x rounded to 4 dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + g + 2 + (-1 + 3 - 3)*(-2 - 2*g + 2) + g - 4*g - 7*g to k + y*g and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 795447621 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11453, -91484, -308623, -731396, -1428329, -2467948, -3918779, -5849348?\nAnswer: -8328181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 9*n - 12. Let w be m(7). Solve 0*k = k - 3*x + 3, 3*k + 9 = w*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/24 - (-354)\/3717?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (8 + -20)) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.19, 28\/57, -2\/11, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -17.3. Let v be (-6 + 1)*(-88)\/10 - 3. Suppose -v*q + 44*q = -9. What is the biggest value in c, -3\/2, q, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -273*z + 2180. What is b(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27398?\nAnswer: 2, 7, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 247317819 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28046686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 26 + -26 + (1 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022443622 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3, 2\/3, -985, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 706 and 22.\nAnswer: 7766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121120221010 (base 3) to base 15.\nAnswer: 66b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4 = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -11. Calculate the common denominator of (6\/(-20))\/(20\/(-75)) and i*(1 + 27\/(-10)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00081 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 322143087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*w + 12, 4*v + 14 = w + w. Let m = v - -4. Suppose 6*d - 53 = 3*d - 4*x, -3*d + 58 = 5*x. What is the remainder when d is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28da - -a?\nAnswer: -28d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23280 - 23872 = -16*p for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30340530 divided by 5?\nAnswer: -6068106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402172?\nAnswer: 2, 29, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weeeeeww. Give prob of sequence ew.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32175 and 4125?\nAnswer: 160875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23837994.9 seconds to days.\nAnswer: 275.90271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.851 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -2\/7, -3\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(3\/(-2)). Let r = -0.1 - -0.955. Let j = r - -0.145. What is the closest to -1 in j, x, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 5*y**2 - 4*y + 6. Does 38 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-15)*(-428)\/209. Let o = v - 2\/209. What is the second biggest value in 2\/7, -5, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a. Suppose -12 = -4*c + c. Suppose i - c = -4*w, 0*i + w + 12 = 3*i. Let t(r) = 3*r + r - i*r + r. Determine s(t(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111100 (base 2) in base 9?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 4:56 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17148*b**2 - 146 + 146.\nAnswer: -17148*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*m + 2*m**4 + 9 - 123*m + 6*m**2 + 245*m - 2*m**2 in the form q*m**4 + f*m**2 + h*m + s + p*m**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 2*g + 2*g + (3*g**2 - 6*g**2 + 0*g**2)*(-3*g + 3*g + 4*g) to the form i*g**2 + a + c*g**3 + l*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27097587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2130124 + -0.213. What is h rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 690230*j - 3898287?\nAnswer: 690230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.781 + -221.681. Let b = z + 190. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.96 + 25.96. What is the nearest to 3 in y, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 14*b**2 + 16*b - 68. Let n be x(14). What is the greatest common divisor of 8268 and n?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1440*s**3 - s**2 - 5*s. Let t(f) = -2*f - 2. Let i be t(-3). Suppose -17 = i*n + 3. Let a be x(n). Round a to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o + 32 = 0. Let d = 32 + o. Solve r + 0*r + 2 = d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*w + 26 = -5*o, 2*o + 10 = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/48 - 594\/(-216) - 154\/3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, p: 1, r: 4, w: 2}. Give prob of sequence rp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 33, 5, 2, -21, 1 in decreasing order.\nAnswer: 33, 6, 5, 2, 1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3596.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprpjfcpjpjppqfcpf. What is prob of picking 2 f?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**2 - 442*g**3 + 4*g**2 - 4*g**4 - g + 437*g**3 to x + u*g + j*g**2 + t*g**4 + q*g**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*w + 500 = -4011 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2 - 5 + 1 - 5*x + 1. What is the units digit of b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3 - 214035*s**2 - 5995920*s - 41978300 = 0. Calculate s.\nAnswer: -14, 42835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 6:54 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - 0.1. Let l = z - -0.048. Round l to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -823 + 828. Let x(f) = f**3 + f**2 - 18*f + 52. Let q be x(t). Calculate the highest common factor of q and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21095675.001923 - -21095786. Let v = x - 111. Round v to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70733516 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304297.\nAnswer: 47, 27751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 equal to 54188\/645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485984403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3675157, 7350324, 11025493, 14700664, 18375837, 22051012, 25726189?\nAnswer: 29401368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1501 + -14245?\nAnswer: -20150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -50 + 57 + -7 + 0 + 21.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 8*y - 2. Let f = 144 - 103. Suppose -f*c = -42*c + 8. Suppose -4*d - c = -o, 5*d = -o + 2*o - 8. Determine j(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 624 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.27815km to millimeters.\nAnswer: 12278150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 f when three letters picked without replacement from {q: 1, g: 8, i: 4, s: 2, f: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103318 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 7)\/(1\/10). Suppose 56 = -5*w - 44. Is 8 a factor of (-158)\/w + y\/100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 42501 - 69396 = 0. List the prime factors of p.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 24. Suppose -4*i = -2*f + 10, -4*f + 43 - 53 = -2*i. Let d(y) = -y + 1. Let g(r) = i*a(r) + 45*d(r). Find the first derivative of g(x) wrt x.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose 0 = -n*f + 3*t, -2*t = 5*f + 2*t. Suppose 4*s + 272984 = 3*o, f = -5*s - 3 + 23. Round o to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c7e + 156?\nAnswer: 1dd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**2 + 2*k**2 + 4*k**2 + 6*k**2.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/48 and 6\/(-27)*244\/32 - 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 70. Suppose l*z - 30*z = 20. Suppose 200 = z*o - 28. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(7\/10))\/(98\/343)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -94ee?\nAnswer: 9501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3008)\/282*(-54)\/(-12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34365, -35279, -36195, -37113, -38033, -38955?\n\"Answer: -j**2 - 911*j - 33453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**4 - 7*o**3 + o + 7. Let g = -54 - -52. Let u(k) = -k**4 + k**3 - k**2 + k - 1. Let n(y) = g*m(y) - 6*u(y). Solve n(l) = 0 for l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/155 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -726 + 823. What is the greatest common divisor of v and 1164?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 3. Suppose s*j = -4*q - 4 + 12, 0 = -5*j + 2*q - 4. Suppose j*l = 2*l - 16. Solve l*r = 4*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7180436 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -732\/21715 + 26\/645. Is z bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2*(-2)\/(-6). Which is the smallest value? (a) i (b) 2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 + 29. Let l = 49 + z. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + -4 + sqrt(2) + sqrt(2) - (sqrt(50) + (sqrt(50) + 4)**2)) + 3.\nAnswer: -66 - 43*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 18*n**2 + 28. Calculate the remainder when 78 is divided by z(-18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576 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: Two letters picked without replacement from keetkkkkwwwwewwek. What is prob of picking 1 t and 1 e?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 18 - -14) + -32?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 5 + -2)**2 - sqrt(153)) + -2 - (-4 + (((sqrt(187) - 3*sqrt(187)) + sqrt(187))*1)\/sqrt(11)).\nAnswer: 16*sqrt(17) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -25*c + 1873. What is the remainder when 62 is divided by r(74)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -19050*d - 381. Let c(u) = 54*u + 1. Determine 762*c(h) + 2*m(h).\nAnswer: 3048*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6211374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18\/(a*a\/a**(-11\/4)*a*a*a*a)*a**(1\/8)\/a**(-5\/3))**(-15) assuming a is positive.\nAnswer: a**(-1325\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 + 54*j**2 + 194*j + 300. Determine y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13598*t**2 + 4 - 743*t - 9 - 3824*t**2 + 122*t wrt t.\nAnswer: 19548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365643, -365646, -365659, -365688, -365739, -365818?\nAnswer: -365931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 90 = -13*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35644320.4 to the nearest 100000.\nAnswer: 35600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1709*f*i**3 + 31*f*i*u + 293346*f*u - f + i wrt i?\nAnswer: 5127*f*i**2 + 31*f*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 93, 179, 249, 297, 317, 303?\n\"Answer: -i**3 - 2*i**2 + 99*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/125 and -81\/350.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 bigger than -1.08518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 p when three letters picked without replacement from {x: 5, p: 2, n: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18 = -m. Let z be 10\/3*m\/5. Suppose -l + z = -6. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -40, -54, 17, 0.3, -3, -2\/3 in ascending order.\nAnswer: -54, -40, -3, -2\/3, 0, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-480)*-6)\/(3 + -2). What is the closest to 0.1 in x, 0.13, -1, -1.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1\/220, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 - 155. Suppose j + 2 - 75 = q. What are the prime factors of j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - f. Let l(y) = -2*y**4 + 2*y**3 + 5*y**2 - 4*y. Let n(i) = -l(i) + 5*p(i). Let n(m) = 0. What is m?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13432 and 16.\nAnswer: 26864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110221 + 1020403?\nAnswer: 510142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + ((sqrt(95) - (-3*(sqrt(95)*-2 + sqrt(95)) + sqrt(95))) + sqrt(95) - sqrt(95)))\/(sqrt(80)*-1).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24.63*-3.184\nAnswer: 78.42192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 2*v. Let w be c(2). Solve -7*j + j + 2*j**2 + w*j + 0*j = 0 for j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-190)\/6)\/(-5))\/((-3)\/(-4329)). Suppose 4*q - w = -3*v, -5*q + 2*q + 6828 = -3*v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7831*j + 1190307. What is c(-152)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 + 9*14907\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.175787, 5\/3.\nAnswer: -0.175787, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 25887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h + 11*h - 197*h)*(2*h - 2*h - h).\nAnswer: 172*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 2, j: 7, l: 1, c: 2, f: 4, v: 1}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 21685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) - 1*sqrt(64))\/sqrt(8) - (sqrt(98) + (sqrt(98) + 0 - sqrt(98))**2 + 0 - sqrt(98)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1808806*b*x + 5358020*x wrt b.\nAnswer: -1808806*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1914 and 56.\nAnswer: -10.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1699.3853*0.6.\nAnswer: -1019.63118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 43779, -2\/3, -3, -4\/5, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0*u**2 - 7*u + 0*u**3 + 5\/12*u**4 + 0. Let z(y) = 2*y. Determine i(z(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(612) + -1*sqrt(612) + 4 - -1*(sqrt(612) + 0 + sqrt(612))) + -5 + 1)**2 + -3.\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 + l**3 - 2*l**3 + 4 + 2*l**3 - 4 + (l**2 + 2*l**2 - 2*l**2)*(-l + 3 - 3) + 16*l**3 + 13*l**3 + 13*l**3 to j + s*l + k*l**3 + n*l**2 and give k.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 11. Suppose -2*a - 2*f + 180 = 0, -2*f = 4*a - 0*f - 356. What is the highest common divisor of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 871*p - 880. Is f(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1243*g**4 - 2212*g**2 wrt g?\nAnswer: -29832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 141 = 219. Find the common denominator of 49\/30 and (21\/2)\/7 + 575\/c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 113, 0, -1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 3. Suppose 69 = 4*c + 5*f, 5*c + 2*f - 7*f - 30 = 0. Let m be w(c). Solve 0*b = 2*b - m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from tedooeddgoddeedt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -883*h + 11487. What is the least common multiple of 1010 and a(13)?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4))\/((-3)\/6). Let m = u + 15. Suppose j = -4*o + 35, -3*j + 1684 - 1711 = 0. What is the lowest common multiple of o and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1832670 and 970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 6*w**2\/11 - 18390*w\/11 + 83844 = 0?\nAnswer: 51, 3014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2764128939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 163. Suppose -41 = 2*d - m. Solve h + 16 = d*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.756 - 0.5?\nAnswer: -1.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1011\/2 bigger than -505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 6:05 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(((-8)\/(-6))\/(-2)). What is the smallest common multiple of 4 and -2 - (-17 + -6 + w)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*g - 19 + 31 = 0, 0*v + 3*v + 12 = 7*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:30 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 16 - 4. Suppose 0 = o*j - 3*j - 2. Suppose -4*g = -i + 2*i - 341, -j*g - 3*i = -163. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/3 - (46\/(-6) + 7). Let a = -231 - -237. What is the biggest value in a, 0.2, 3, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -0.0422691?\nAnswer: -0.0422691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.356612892 rounded to four dps?\nAnswer: 1.3566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(0 - (-10)\/(-4)). Suppose s*z - 11 = 4. Find the third derivative of 2*p**2 + 5*p**2 - 2*p**z - 8*p**2 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52655431 - 7?\nAnswer: 52655422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841372?\nAnswer: 2, 7, 151, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25286 is divided by 267.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1512692 and 4.\nAnswer: 1512692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 7:10 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*29\/957*11*(-9)\/(-85)?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**4)\/a*a)**(-3\/2)\/(a*a*a**13*a*(a\/(a*a**(2\/13)\/a)*a*a)\/a) assuming a is positive.\nAnswer: a**(-349\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*p + 126 - 138 = 0, -3*p + 4 = 2*k. Put k, -2, -1, -6 in ascending order.\nAnswer: -6, k, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2307 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -247*k - 55. Let l(u) = -83*u - 18. Determine -7*l(a) + 2*y(a).\nAnswer: 87*a + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - 10\/12. Let v = -11.9 + 12. What is the closest to m in v, 2, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - -5.07. Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8680787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*n - 575*p + 573*p, 0 = 5*n + 3*p - 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1083, -58, 0 in decreasing order.\nAnswer: 1083, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 27*j = 130. What is the remainder when j is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72480 and 181920.\nAnswer: 27469920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {j: 1, o: 2, b: 4, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 8174 - 8168, -i = 4*s + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**4 + 132*b**3 + 7047*b**2 - 318228*b + 311052 = 0.\nAnswer: -49, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2323\/92)\/101*2\/6*8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4198 - 2938. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 371 and 98?\nAnswer: 5194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 175?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81120*w + 81145*w - 373 - 309 = -232 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 14*t**2 - t + 29. Suppose -2*z + 0*n + 3 = 3*n, -5*z = -5*n - 45. What is the remainder when p(14) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 + 5*v + 5. Let g be j(6). Let b be (g - (1 + 0))*-1. Let d(q) = 2*q**3 + 4*q**2 - 2 + 0 - b*q**3 - q**3. Determine d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -1. Suppose -33 = 5*t + 5*n + 22, 0 = -4*t + n - 24. Let x = t - i. Sort -2, -3, x in ascending order.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*i - 4*i**3 + 45*i + 5*i**3 - 36*i in the form y*i**3 + o*i**2 + q*i + w and give q.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 12*i**2 + 3*i - 11. Let t(f) = -2*f**3 + 6*f**2 + f - 6. Let v(k) = 3*o(k) - 5*t(k). Let c = -1662 - -1657. Calculate v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 364802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1107532 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**6\/480 + 7*v**5\/240 - 241*v**2\/2 - 223. Let b(p) be the second derivative of m(p). Suppose b(c) = 0. What is c?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 8, l: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 12*i**2 + 1502378*i + 250396 = 0.\nAnswer: -125198, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Let i(n) = -4*n**2 + 11*n**h - 10*n**3 + 3*n**2. Determine i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341536*q + 339347*q - 680888*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44595 + 44596. Let m be (-36)\/(-21) + (-6)\/(-21). Sort z, 29, m in increasing order.\nAnswer: z, m, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-13))\/((-1260)\/234)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 195*a**2 - 189*a**2 + 2*a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/12 - 3 - 4694\/12. Let m = 2769\/7 + h. Sort m, -0.4, 0.2 in decreasing order.\nAnswer: m, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i = -2*t + 4, 5*i = 4*t - 36. What is the second derivative of -5 + v**2 - v**2 - 16*v**3 + v**2 - v**2 + 13*v - 3*v**t wrt v?\nAnswer: -36*v**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -570 + -15?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460768 divided by -7648?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-4)*(-74)\/1 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2575289 to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1) + 99\/11. Suppose -h + x = 7. Suppose -h*l = -2*l - 544. Calculate the greatest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 516.31\nAnswer: 2065.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.05 + 0.35. Let h = -0.7 - r. Is 4 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*g - 4*g + 1128, -1517 = 4*z - 3*g. Let n = -241 - z. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(19 - 75 + 165517*x - 165514*x).\nAnswer: -3*x + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7767005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(9 + (-49)\/7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2876*o + 3*s = -2879*o - 45, -8*o + 13*s + 195 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 414779*r**2 - 4*r - 1. Let d be s(-1). Suppose -d = -j + 745218. What is j rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1232 and -1\/24.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 3}. Give prob of sequence zg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**6 - 1244071*l**4 + 31*l**3 - 35*l**2 + 5852*l - 602 wrt l?\nAnswer: 120*l**3 - 29857704*l + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -183749900 to the nearest one million.\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 166 = 5*d, -5*m + 63 = -d + 3*d. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1404)*2 + sqrt(39))\/sqrt(3).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-1 + 5 + 2*sqrt(1573)*1)**2.\nAnswer: 110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 148.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.361 - -0.061. What is the third smallest value in -1.1, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/141 and (-2)\/(12\/19)*14\/20.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130 (base 4) to base 13.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13650.948 rounded to the nearest one hundred?\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -462\/100153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from wfbtjwtftwt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -751777*i**4 + 4*i**3 - 1144952855 wrt i.\nAnswer: -3007108*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 17*n - 18*n. Calculate the greatest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.8806cm in kilometers?\nAnswer: 0.002638806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659097291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625706 by 1621.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -4 (c) -25 (d) 1033 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**7\/42 + 2*l**6\/15 + 9*l**5\/5 + 37*l**4\/6 + 61*l**3\/6 + 9*l**2 - l - 22. Suppose b(f) = 0. What is f?\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 3, c: 5, g: 3, q: 1, n: 1}. Give prob of sequence gcgg.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140\/3 - 47. What is the second smallest value in d, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 - -69. Let h = f + 25. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**4 + 105*n**3 - 335*n**2 - 1005*n - 560 = 0.\nAnswer: -1, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2 - 147*y - 145\/3.\nAnswer: -(3*y + 1)*(6*y + 145)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -15. Let w be (j + -5)\/(-1 + (-19)\/(-21)). Let d(p) = -p**3 - 21*p**2 - p - 24. Let h be d(w). Which is bigger: h or -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three halves of a decade?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 - 11 = 0. Suppose 0 = a*u + r - 350, 5*u + 0*r = 2*r + 335. Suppose -4*i + 135 + u = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/49)\/(-3*8\/12)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 7312, 0 in descending order.\nAnswer: 7312, 26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 100 = 7*x. Calculate the highest common factor of x and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2\/407 (c) -306.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 516754 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135093 greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 35435520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -78. Let q be (-21)\/(-6)*u\/(-28). Suppose -105 = -3*r - p - 29, 3*r + q*p = 79. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j - 4 = -2*u, 4 = -2*j. Suppose 2*f - 4 = -2, 0 = -m + 5*f + u. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 14*p**2 + 3*p**2 + (3*p**2 + 0*p**2 - 5*p**2)*(4 - 9 + 9) as y + j*p**2 + h*p and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3 + 3*v - 3 - 13*v**2 + 1081*v**3 - 5 - 1080*v**3. What is r(13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319*2912.\nAnswer: 928928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000067495 rounded to 6 dps?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52 + 1 - (14 + -12)*(-11)\/(-22). Solve -11*b - 3 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 14*i - 7. Let f be t(-5). Let b = f + -32. Suppose -2*y = -v - 11, b*y - 3*v = 2*y + 17. Calculate the lowest common multiple of 5 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 - (1 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine fifths of a hour?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3078)*-1 - (sqrt(152) + sqrt(152) + sqrt(152)*2))\/(sqrt(24)\/(sqrt(1200) + sqrt(1200) + 3*sqrt(1200))).\nAnswer: -850*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24*4\/16 + 6\/(-1). Solve -10*y + 9*y + 4 = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.553093kg?\nAnswer: 553093000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - -219. Suppose -v = 2*v + 7377 - 8427. Let t = v - x. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 4\/3, 3\/2, 0.5, 4, 0.6 in descending order.\nAnswer: 4, 3\/2, 4\/3, 2\/3, 0.6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**3 - z. Let p be j(1). Let h(l) = l**3 + 5*l**2 - 7*l - 1. Let s be h(p). What is the tens digit of -12*(-2)\/6*s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*u = -69653 + 13799. Calculate the remainder when u is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133826628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 + 43.72. Let n = -181 + 258.2. Let z = r - n. Round z to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 838, -87, -1626, -3773, -6522, -9867, -13802?\nAnswer: -18321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 - 5. Let j(n) = 15*n**2 + 12. Let h(d) = d + 2. Let c be h(3). Suppose 0 = 4*m, -4*m + c = 5*t - 20. What is t*j(l) + 12*y(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.28? (a) -2\/23 (b) -1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 24*i**3 - 4*i**2 + 22. Let c(p) = p**3 - 59*p**2 - 68*p + 482. Let o be c(60). Let s(m) = m**3 + 1. Determine o*t(g) - 44*s(g).\nAnswer: 4*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c**3 + 22*c**2 - 55*c - 21. Let m be f(5). Is -993 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 563*t + 387. What is the units digit of g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 16*g - 9. Let r be l(3). Let c = r + -37. Suppose -4*b + d + 63 = c*d, 0 = d + 1. Solve a + 3*a + b = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0188791719 rounded to 5 decimal places?\nAnswer: -0.01888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6*r + 304. Let v = 42 - r. Suppose 0*z + 3*q = -3*z + 84, 4*q = 2*z - 44. Solve 6 - z = -v*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flllllllllyfylf. What is prob of picking 1 y and 2 f?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 - 2*i - 1. Let n be g(-1). Let q = 25\/78 + -2\/13. Which is bigger: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 914811042, 914811041, 914811040, 914811039, 914811038?\n\"Answer: -a + 914811043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359*i**2 - 132 + 71 + 61 + 84*i wrt i.\nAnswer: -718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 38. Put 2\/5, -4, c in increasing order.\nAnswer: -4, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2058 and 3731.\nAnswer: 1096914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -20480\/53 and -5\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22a2 - e32?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2087 rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 12*c**2 + 12*c + 15. Let s be v(-13). Let y be (9\/6)\/(6\/s). Find the second derivative of -2*w + 2*w + 7*w + y*w**4 wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 0)*(-1)\/2. Let z be ((-10)\/15)\/((-4)\/12). Suppose -z - i = -k. Solve 5*n - 2*h - 11 = -h, k = n - 2*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9ecc5 (base 16) to base 14\nAnswer: 12d07b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let i(j) = j**2 - 11*j - 5. Let q be i(11). Let u be ((-16)\/(-20))\/((-2)\/q). Let n(f) = -f + 2*f**u + f. What is k(n(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 c when four letters picked without replacement from {x: 9, c: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4841*q + 120 = 4856*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1344004 (base 6) to base 7\nAnswer: -434452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3550*p + 3549*p + 7 = 0, 0 = 3*v - p + 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzzpxippxxbpp. Give prob of sequence zbzp.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9 - 16*w - 33*w + 15*w. Is s(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + f**2 - 2*f**2. Let h(y) be the first derivative of -y**3\/3 + 2*y + 1. Let c(q) be the first derivative of h(q). Calculate k(c(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckcbccobkoo. Give prob of sequence obco.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 351353 <= 351351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120 + 397 + d - 277.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 140*n**2 + 1077*n - 40. Give b(12).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*1\/(85\/(-391)) - (-9)\/(-1).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 360*g - 14 = -356*g, 28 = -4*f - 2*g for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11332 - -2223?\nAnswer: -4104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2. Let f(s) be the second derivative of s**5\/60 - s**4\/8 - 6*s**3 - 4*s + 3. Let x(j) be the second derivative of f(j). Calculate g(x(z)).\nAnswer: 8*z**2 - 24*z + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -34. What is the second derivative of p**2 - 2*p - 8*p + 11*p**m wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36202892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -166718 (base 9) to base 4\nAnswer: -121033031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0633 and 5.\nAnswer: 0.3165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let a(m) = -3*m - 5. What is -a(q) - 2*j(q)?\nAnswer: 5*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56.39036812 + 56.39. Round c to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.99855 - 37. What is y rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399068 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.427103 litres to millilitres.\nAnswer: 5427.103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7375804127 to the nearest integer?\nAnswer: 85883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 8*c - 66. Suppose -2*k = 5*m - 149, -2*k = m + 3*m - 154. Let d = k + -68. Calculate the remainder when d is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7455, -10249, -13043, -15837, -18631, -21425?\n\"Answer: -2794*o - 4661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120694 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18431?\nAnswer: 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-825)*(-6)\/4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -4. Let t = 35 + g. Let p = -56.4 + t. Round p to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 29*f - 66 = 0. Solve -f*q - 4 = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -398*z + 1. Let l(m) = 386*m. Give 3*l(s) + 2*x(s).\nAnswer: 362*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100111 (base 2) to base 8.\nAnswer: -647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or 0.012?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 10 + -5 + -24 - (1 + -10).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(32))\/(sqrt(256) - (sqrt(256)*1 - sqrt(256) - sqrt(256))).\nAnswer: -5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(1 - 1 + 2*d) + 11*d - 3*d - 19*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24814 + -7871. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 39. Let t(w) = -y + 2*w - 6*w + 2*w + w. Let o be 32\/(-6) + (-20)\/30. What is t(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 14*j - 7. Let t be a(-12). Suppose -36*o + 117420000 = -t*o. Round o to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73977.86 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3375 and 89748.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 10 + 5*g)*(-165*g + 165*g - 5*g**2 + (-g - 3*g**2 + g)*(-3 + 2 + 3) - 5*g**2 + g**2 + 5*g**2) in the form l*g**2 + a*g**3 + k*g + r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -244, 0, -2, -17, -5, 2 in decreasing order.\nAnswer: 2, 0, -2, -5, -17, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-112)\/(-24))\/((-455)\/(-1092))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/1350*5*3\/3)\/((-18)\/(-180))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70940655689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -36*r - 511. Determine j(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65482.8 plus 989?\nAnswer: 66471.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 5:14 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2983804ml in litres?\nAnswer: 0.0002983804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.005 to two decimal places.\nAnswer: 3.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -9*s**5\/5 - 15*s**4 + 1302*s**3\/5 + 3288*s**2\/5 + 384*s = 0.\nAnswer: -16, -4\/3, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004382219 to five decimal places.\nAnswer: 0.00438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 27*s**2 + 61*s - 108. Calculate i(11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o. Suppose 5*g - 489 - 1156 = o. Let b = g + -214. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 14*z + 3*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 435 = -3*c, 3*x + 4*c = 5*x - 220. Let d = x + -76. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65859169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -19*i**5\/30 + 31*i**3\/2 - 45*i**2. What is the first derivative of m(n) wrt n?\nAnswer: -76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/81, -5, 0.2, -1, -1\/2, 3 in decreasing order.\nAnswer: 3, 0.2, -1\/81, -1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -39 - t + 0*t**5 + 0*t**3 + 9*t**2 - 23\/6*t**6 + 0*t**4. What is the second derivative of q(r) wrt r?\nAnswer: -460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1443442 + 45*u**2 + 1443442.\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-219)\/(-12) - 7\/28. Suppose -d - 6 = -8*n. What is the second derivative of 10*x + 7*x - 20*x**n + 7*x + 13*x wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.27, -522, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1324 + 1324. Let v = 0 + 3. Solve 18\/5*u**4 + q - 8\/5*u**5 + 0*u + 2\/5*u**2 - 12\/5*u**v = 0 for u.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25281 is divided by 199.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28424 and 77928.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - v**2 - 20*v + 20*v - 15*v**2 in the form s*v + b + n*v**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14236 is divided by 406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 0.04, 1\/16, 124\/3, 3, -4\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 899 and 7730501.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4) + (58 - (-32 + 107)) - (-1 + 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150919279 is divided by 933.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 164 = 28. Let q(u) = -u**2 + 28*u - 184. Let z be q(12). Solve j + z = 4*v - j, 5*v + j = r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -29. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 12*t - 223. Let j be f(-22). Which is the nearest to 1\/4? (a) 4 (b) 1\/2 (c) 25 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 0.29 (c) -2 (d) -271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1731 and 113859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 7*z**2 - 2*z - 7. Give l(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2847*c - 1054. Is f(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 30. Let n = 21 - q. Let t = -86 - -169\/2. What is the closest to 0 in 4, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7*t. Suppose t = -4*d + 10 + 2. Let k be -11*(0 + (-1 - 1)). Solve -f - d + 6 = v, -4*f + v = -k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7420*i**2 - 2*i*l**2 + i*l - 208279*l**2 wrt i.\nAnswer: 14840*i - 2*l**2 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*n - 2. What is the lowest common multiple of n and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)\/((r*r\/(r*r*r**(-1\/7)*r))\/r))\/(r\/((r\/(r\/(r*r**3)))\/r*r)*r)**(-4\/7) assuming r is positive.\nAnswer: r**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17703\/855 - -1*4\/5*(-3880)\/29488.\nAnswer: 103\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1245 (base 6) to base 14\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3350*o - 72851?\nAnswer: -3350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35 (b) 0.4 (c) -2\/7 (d) 11 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2.3. Let p = c - -2. Let g(b) = -2*b**2 - 276*b - 2320. Let v be g(-9). Put v, p, -2\/5 in descending order.\nAnswer: v, p, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 8.\nAnswer: -3, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000343643 to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-585)\/(-25) + (-6)\/(-10). Suppose s*c - 96 = 14*c. Solve -c = 4*t, 0*a - t - 4 = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561, 521, 543, 675, 965, 1461, 2211?\nAnswer: 3263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 913985.1 decades?\nAnswer: 91398.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**6\/120 + c**5\/30 - c**4\/6 + c**3\/6 + 8*c**2. Let f be r(-3). Suppose f*b = -0*b + 168. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*m = -1248, 4*h - 2*h - 639 = m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-7 - -1) - 2) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3784)\/((-1100)\/25) + (-15)\/3.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/4 (b) 4 (c) 0.03645\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -998787*g**5\/4 + 13285425*g**4\/2 - 15923673*g**3 + 7819038*g**2 - 1089936*g = 0. What is g?\nAnswer: 0, 174\/577, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 10.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*o + 575 = -0*g, 5*g = o + 954. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 7. Let k = 4 + b. Suppose -2*h + 1 = 1. Solve h = -5*q - k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4 + -3)\/(2\/134) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4459 - 4317.95. Let k = z + -141. What is the third biggest value in 0.3, k, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92841397 to the nearest integer?\nAnswer: 9635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4916 - 0.501. Let j = d - -0.009433. What is j rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1169\/4 - -583\/2. What is the second smallest value in -1\/4, m, -9\/8, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.14, -11, 146 in descending order.\nAnswer: 146, 2.14, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, -476, -5, -1\/3, 4\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/3, 0.3, -3.033, -3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45039794 + -318\nAnswer: -45040112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:04 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*j - 816 = -794*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f - 2*t - 40, -3*f - t + 35 = 0. Calculate the remainder when 34 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-34304))\/(168\/(-448)).\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**4)\/c)\/(c*c**(-2)))\/((c\/((c\/(c\/(c*c**(2\/19))))\/c))\/(c**(-5\/3)\/c)))**(2\/13) assuming c is positive.\nAnswer: c**(-748\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1d1?\nAnswer: 1d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3658424 divided by -1\nAnswer: -3658424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 6*x. Let f(h) = -6*h**2 + 35*h + 1. Let c(l) = -6*f(l) - 34*p(l). Determine c(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Calculate the least common multiple of 8 and b(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b - 11. Let p(a) = a**2 + 14*a - 8. Let t be p(-14). What is the remainder when u(t) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*(2*h + h - 2*h) - h - 5*h + 4*h + 1 - 2 + 21*h - 19*h as n*h + f and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l. Suppose y + 3*c = -10, l = -4*y - c - 3 + 18. Solve -4*p + 15 = 3*i, 0 = y*p - i + 4 + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158799646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/11)*r*r**(-3\/2))**(-28)\/(r**7\/(r\/(r\/r**(3\/2))))**(-4) assuming r is positive.\nAnswer: r**(228\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/15 - 2\/3. Let -2\/5 + 6\/5*l + 6\/5*l**4 - 4\/5*l**3 - 4\/5*l**2 - q*l**5 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 787*g**4\/24 + 4*g**2. Is k(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85688329, 85688327, 85688325, 85688323, 85688321, 85688319?\n\"Answer: -2*o + 85688331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 499461007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r - 6. Calculate j(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 546 = 11*k. Solve 0 = -4*b + 8*b - 5*q - 26, b = 5*q + k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6008854793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-104)*(-62)\/93*(-16)\/(-116)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4645 = -0*d - d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125424 and 1737528.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 + 375 = z. Let w = 1730 + -1673. What is the greatest common factor of w and z?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 22?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/10 + (-114)\/(-10) + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 78 - (-29 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -113132321000 (base 4) in base 12?\nAnswer: -208a4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 12*z**2 + 11*z + 14. Suppose 1 = 4*o - 5*k - 58, -o + 3*k + 20 = 0. Calculate v(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 436440 and 25459?\nAnswer: 3055080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*g - 2 = -0*z, 5*g = 4*z - 11. Let r(o) = o**2 - 9*o - 4. Let d be r(z). Let t(b) = b**2 + 3*b + 1. Determine t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + -2a?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 3*c + 31, 48 + 11 = -32*z - 2*c + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5247 and 1431.\nAnswer: 15741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 5. Let o be k(-5). Let z(a) = -a**2 + 4. Let h be z(o). Solve 1 = q - 4*x + 6, 3*x - h = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -589 - -254. Let u = -323 - m. Solve 4*b + u = -8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3670*v + 11*v**2 + 9 + 1835*v + 1839*v. Suppose -3*z + 7*z = 16. What are the prime factors of f(z)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 55 - 22 - 220*p**2.\nAnswer: -220*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14514, 14516, 14518?\nAnswer: 14520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051869658 rounded to 5 dps?\nAnswer: 0.00519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.04 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.1118?\nAnswer: 0.3354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u - 18*u + 2*u**3 + 0*u**3 + 8*u**4 to the form z + f*u**2 + o*u + v*u**4 + h*u**3 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - 1.88. Suppose -117 + 225 = -59*n - 187. What is the nearest to 0 in n, 4\/7, q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**3 - 11*u**2 - 6*u + 7. Let j(l) = -12*l**3 - 21*l**2 - 11*l + 13. Let k(w) = 3*j(w) - 5*q(w). Give k(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s. Let a = 18 - 10. Suppose a = 2*o - 0. Solve -22 = 5*i - 3*h, s*h = -o*i + 4*h - 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35563 is divided by 741?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2 + 6*((2 + sqrt(72) + sqrt(72))*5 + sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*2)*-2)))*-6)**2.\nAnswer: 2892672*sqrt(2) + 30371475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -36549.92 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**6\/5 - 21*v**5\/20 + 9*v**4\/4 - 5*v**3\/2 + 3*v**2\/2 - 15*v. Factor c(l).\nAnswer: 3*(l - 1)**3*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/13 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddvq when four letters picked without replacement from {v: 3, q: 6, z: 1, w: 2, d: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900414 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137\/210 + -1\/70. Let w = 1061\/9 - 118. What is the smallest value in w, -5, a, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-143)\/33 - (-4 - -1) - -2. Let g = -30.53 - -0.33. Let n = -30 - g. Which is the nearest to n? (a) 3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121461 - -121510.891. Let j = y + -50. Round j to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-14)\/(-6))*((-8480)\/(-128) + -67).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -21651.\nAnswer: 26\/21651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1133 * -0.86.\nAnswer: -974.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.484 - -1.483995385. Round g to 7 decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5 + 9\/(-45))\/(-1). Let c(y) = -9*y - b + 1 + 0. Let n(w) = 10*w. Calculate n(c(j)).\nAnswer: -90*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 644*v**3 + 122 - 28 - 34 - 28.\nAnswer: 644*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4\/3)*i*i**4*i*i*i)\/((i\/(i\/(i*i**8\/i*i)))\/(i\/i**(-3)*i)) assuming i is positive.\nAnswer: i**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11767989 and 0.\nAnswer: -11767989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 14 + -13 + 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23157743 is divided by 3308236?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4909553?\nAnswer: 11, 446323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 a when four letters picked without replacement from zizizzziiizizzzazi.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 3*s**2 + s**2 in the form c + f*s + h*s**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25587 + 48353. Let v be 2 - (1*-2)\/2. Suppose -v*z - 1792766 + a = 0. Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37917 (base 12) in base 8?\nAnswer: 223543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 36 - 40 + 0*t + 0*t - 7*t.\nAnswer: 3*t - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 r when four letters picked without replacement from raxbbbbrxaxbb?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*k + 37 + 7, -3*k - 5*c - 4*c = -5*c - 34 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30101, -120534, -271255, -482252, -753513?\nAnswer: -1085026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/9)\/(v\/(v\/(v\/v**(-2)))*v*v))**23\/((v*v**(-1\/3)\/v)**(-41\/5)*(v**(2\/7)*v)\/v**2) assuming v is positive.\nAnswer: v**(-36056\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:58 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24370 at most as big as 24\/625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = -k - 0*k, 0 = -2*k - 3*d. Let f(g) = g**3 + 5*g**2 - 2*g + 28. Let z be f(k). Solve 3*j = -4*t + 3, 4*t = 4*j - 28 - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 - 53370684 + 53370681 - 7*a**3.\nAnswer: -4*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.83024 + -0.05976. Let j = 75 + o. Which is the nearest to -1? (a) -2 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/11))**34 assuming g is positive.\nAnswer: g**(-34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 571110161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 17. Let n be z(-8). Let m(y) = 7*y**2 - 2*y - 1. What is m(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 5*w + 4*w)*(4*w**3 - 3*w**3 - 3*w**3) + (-w**3 + 2*w**3 + w**3)*(-2*w + w - 2*w) - 2*w**4 + 3 - 3 + (4 + 3*w - 4)*(-3*w**3 - 2*w**3 + 4*w**3).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*b + 83*b**3 + 94*b**3 - 11*b**2 - 176*b**3 in the form y*b**2 + p*b**3 + u*b + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a microsecond in nanoseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931, -1453, -1971, -2485, -2995, -3501, -4003?\nAnswer: -4501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/372*-4)\/(180\/(-135)). What is the fourth biggest value in 3, 1, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2371830 and 41130.\nAnswer: 7115490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 4)*(-3396 - 3932 - 2410 + 791)*(0 + 2*k + 0) to s + x*k and give x.\nAnswer: -35788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3\/3 + 385*g**2 + 21645*g - 68445.\nAnswer: 5*(g - 3)*(g + 117)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from qgbgggxbgggggxgggbgq?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 283811 - 17660 = 5*m, 5*p = 4*m - 212904. List the prime factors of m.\nAnswer: 53231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -51. What is the second smallest value in -0.3, g, -3.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:38 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 10 + 14 = 2*d + 16, 296*z = d + 299*z + 3 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3516100505?\nAnswer: 5, 23, 29, 1054303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 15*l + 10. Suppose 44 = -5*s - 2*i + 5*i, -40 = 3*s + 5*i. What are the prime factors of u(s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001 (base 2) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133894*o**4 - 47*o**2 + 737.\nAnswer: -3213456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/6 + (-1 - -4). Let y(g) be the first derivative of -g**2 + 3*g - 2. Let t(i) = -4*i + 5. Give b*y(j) - 3*t(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(98)) + -1 + 1*sqrt(98) + 2 + sqrt(98) + -1 + -1)**2.\nAnswer: -168*sqrt(2) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1)*85\/(-51).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 1 - 3*t**2 + 8\/3*t**3 - 1\/4*t**4 - 7*t. What are the prime factors of l(5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 - -0.56. Which is the second smallest value? (a) 0.02 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00126573 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t - 4 + 3*t**2 - 13*t + 4*t to the form b*t + k*t**2 + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*o**2 + o - o + 1679*o**2.\nAnswer: 1257*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192613, -385229, -577835, -770425, -962993, -1155533, -1348039, -1540505?\nAnswer: -1732925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 21*n - 314 - 64 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:16 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 4*y + 1. Let t be m(-3). Let l be t\/(-4)*-2 + 4. Solve g = -3*u - 14, l*u = -4*g + 2*u - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let f = 3 - 4. Let i(p) = -p**3 - 3*p**2 - p + 1. Let s be i(-2). Let h(t) = -2. Give f*h(k) + s*q(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922 is divided by 174.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 3.2.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 8. Let q(r) = -2*r + 15. Let l = -1 + 7. Determine l*q(f) + 11*x(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205\/(-10)*38\/(-57) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + -8 + (-4 - -28)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10424 (base 5) to base 15.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 2*sqrt(80) - sqrt(80) - (sqrt(80) - (sqrt(80) + (sqrt(80) - (-2 + sqrt(80) + -4 - sqrt(80))) + sqrt(80))))**2.\nAnswer: 240*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*r**3 - 21*b*r**2 - 4*b + 3*r**4 + 2*r**3 wrt r?\nAnswer: 6*b + 72*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 27, 42, 57?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 + 7812\/198)\/(19\/2717).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000755586895 rounded to 7 dps?\nAnswer: 0.0000756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5483, 10964, 16455, 21962, 27491, 33048, 38639, 44270?\n\"Answer: t**3 - t**2 + 5477*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23737039763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-48)*((-1)\/9)\/(4\/(-12)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 6*g - 7*g - 1 + 4*g + 5 in the form t*g + z*g**2 + r and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (0 + sqrt(833)))**2 + 3 - 4*sqrt(612)*1.\nAnswer: -24*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 965 - 114. What is the highest common factor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.1 rounded to the nearest integer?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 30526.9, -12\/7 in ascending order.\nAnswer: -12\/7, 3\/4, 30526.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -22. Suppose 1 = 5*u - w - 4, w = 4*u - 4. Put -3, u, t in increasing order.\nAnswer: -3, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089078743 to six dps.\nAnswer: -0.000891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 370*k**3 + 2*k**2 + 5*k + 59. Let y(n) = -185*n**3 - n**2 - 3*n - 30. Let a(m) = -3*u(m) - 5*y(m). What is the third derivative of a(b) wrt b?\nAnswer: -1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19528883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 2:57 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 88 + 82. Suppose z - x - c = 0, -2*z + 3*z + 4*x = 100. Calculate the common denominator of (-1)\/1*z\/(-6) and -48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 204, 2, -2?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6*x - 1. Let h be l(-6). Let t be (-86)\/(-258)*(-6)\/(-1). Sort t, -10, h in decreasing order.\nAnswer: t, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1060402.51 and 1?\nAnswer: -1060402.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -131, -152, -185, -230, -287, -356?\n\"Answer: -6*l**2 - 3*l - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11840941 divided by -2?\nAnswer: -11840941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49029.\nAnswer: 3, 59, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 2 - 2 - 3*f**3 + 4*f**3 + f**3 + (-2 + f**2 + 2)*(-2*f + 2*f - f) + 0*f + 0*f + 3*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5\/6*m**3 - 3\/4*m**4 + 0 + 2*m - m**2. Let v(d) = -4*d**2 + 2*d - 1. Give -3*r(p) + 7*v(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvlvvvpllpvvl. What is prob of picking 1 v, 1 p, and 1 l?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-5 - -2) - (358 + -386).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o, -k = 2*k - 4*o. Let i be 1 + 0 - k\/(-12). Determine f, given that 1\/3 - 1\/3*f**4 - 2\/3*f + 0*f**2 + i*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**2 - 5*a + 10. Let w(j) = 13*j**2 - 9*j + 19. Let c(d) = -11*k(d) + 6*w(d). What is the tens digit of c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 12*s - 2. Let u be z(0). Is 75*(-12)\/18*u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**7\/420 - o**6\/120 + o**5\/120 + o**2 + o. Let t(u) be the first derivative of k(u). Factor t(d).\nAnswer: d**2*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 1 + -1 + (-4*sqrt(396)*-3)**2 - (3 + sqrt(396) + -3 + sqrt(396) - (sqrt(396) + -4*4*sqrt(396) + sqrt(396))**2).\nAnswer: -6*sqrt(11) + 134640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 11*l + 115. Let n be 1 + (1 - 12\/(-1)). Let p = n - l. What is the remainder when 32 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - i**3 - 5*i**3 + 2*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 103*x**2 + 116*x - 1407. What is the lowest common multiple of 1908 and l(102)?\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 4*a - 7 + 3. Is 15 a factor of u(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 50, 0, -4, 13 in decreasing order.\nAnswer: 50, 13, 9, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, n: 7}. Give prob of sequence nni.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64160497 is divided by 923?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r + 6. Let q(y) = -2*y + 1. Let m(d) = -j(d) + 4*q(d). Let x(k) = 36*k - 11. Calculate 11*m(f) - 2*x(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 3. Let v be r(-3). Let c(d) = d. Let g be c(2). Suppose v = g*h + h. Solve h*a - 5 = -20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29a3 (base 15) to base 5.\nAnswer: -241203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 2*d + 8. What is n(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4389 - -11052. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -31863\nAnswer: -50\/31863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 13) to base 11\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -339, -8, 27, -7, 2 in descending order.\nAnswer: 27, 8, 2, -7, -8, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3036 = -238*p + 307*p. Suppose -280 = -2*t + 732. Calculate the greatest common divisor of t and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 12. Let r be h(-5). Let p = 2 + r. Suppose 14*n + 5 = 15*n. Sort 4, n, p.\nAnswer: p, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157 < 3159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4+619\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r**(-2\/21)*r)\/r)*r**(-7\/5)*r\/r**(3\/5)*r*r**(-11\/2)*r*r)**(-20) assuming r is positive.\nAnswer: r**(590\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -18.4, -72, 3, 17 in increasing order.\nAnswer: -72, -18.4, -0.3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944 divided by -92?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 14*m - 300. What is the units digit of 545*((-78)\/m + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-143375)\/(-2775))\/(10\/(-4)))\/(1\/3).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15)\/(-9))\/((-1)\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-39)\/15 - 3\/(-5). Let r = z + 5. Let q = r + 6. Calculate the smallest common multiple of q and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1510 (base 6) to base 7.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -676 in 15, 3\/2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13229*q + 22322*q - 12434*q as k*q + r and give k.\nAnswer: -3341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3) - (1 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257.4 + 257. Put m, 1\/34, -1\/3 in ascending order.\nAnswer: m, -1\/3, 1\/34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j - 5*q - 5, 0 = -4*j - q - 13. Let i(t) = -2*t + 7. Let x be i(j). What is the remainder when 47 is divided by x\/(-2)*(6\/15 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 + 0.97. Let b = 1.0993 - c. What is b rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 6 = -11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 15*h**2 - 30*h + 6. Determine y(12).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*4 + 3. Suppose d = -y*f + 2*d + 318, -5*d = -f + 54. Suppose -h - h = -f. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {o: 2, j: 3, s: 3, m: 10, w: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-6))\/(1\/(-2)). Let d(v) = v + 3. Let i be d(x). Let b be i\/(-44) + (-7700002)\/(-11). What is b rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 109. Let w(a) = a - 60. Let m(b) = 7*w(b) + 4*y(b). Determine m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-58)*(-48)\/132\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 53. Suppose -37 = h*k - 87. Suppose 116 = 3*i - k. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 0.102.\nAnswer: -1.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -63*m**2 + 59*m**2 + 2 - 5*m**3 - 7*m**3 - 2*m + m**3. List the prime factors of h(-2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.33 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 132 = -38. Suppose 3*t - 6 = 0, 12 - k = -3*c - 4*t. What is the lowest common multiple of 5\/7 - 2\/(-7) and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*c**4 + 11529661*c**2 + 270450962*c wrt c.\nAnswer: 360*c**2 + 23059322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2093687*z**5 - 1965399*z**2.\nAnswer: 125621220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/968709 and 10\/489?\nAnswer: 968709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 + 467*x**3*z**2 + 45*x*z**2 - 2*x*z + 2*z**2 + 15*z wrt x?\nAnswer: 20*x**3 + 2802*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from hhhhbhbdhhhhhh.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 19*y - 7 + 14 - 2*y - 10*y - 8*y. Calculate w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 t when four letters picked without replacement from tnbhnb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - y + 1. Let d be w(1). Let k = d - 3. Let v be 2 + -1 + k - -2. Solve 3*a = 5*r - 13, -v*r + a + 5 + 0 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21131 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 26 + -6 + -2 + -20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/3*-3 + 151. Let s = -95 + d. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 533116834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 4. Let f = -8 + b. Solve 0 = -3*q - 3*y + 12, -3*q + f*y + 20 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324543269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 113*v**3\/3 - 16*v - 28. What is the first derivative of u(d) wrt d?\nAnswer: 226*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834027 is divided by 110.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520471.\nAnswer: 3, 17, 73, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1079595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 813 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189804\/25 - -7592. Sort 5\/2, -2\/7, p, -2\/5 in ascending order.\nAnswer: -2\/5, -2\/7, p, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -19, -0.2, 0.05 in descending order.\nAnswer: 0.4, 0.05, -0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -359653.8 plus 0.991?\nAnswer: -359652.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 12*y**2 + 14*y - 22. Determine b(7).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q**2. Let s(r) = 147*r + 180*r - 514*r + 149*r. Calculate s(h(t)).\nAnswer: -342*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1145 - -1147. Let v be 5 + (-2 + 0 - 0). Let f = 1 + v. Sort 1, 5, f, g in descending order.\nAnswer: 5, f, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -10. Let z = v - -14. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.9321 + 0.0679. Which is the closest to 1? (a) q (b) -0.66 (c) 1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1086 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 0.2, -5, 5, 0.3, -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 + -152.8. Let q = -11.7 + 11. Let z = 3.3 - q. What is the smallest value in r, 1, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 - 9536*k\/3 - 3180.\nAnswer: 4*(k - 2385)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = 5*g - h, -3*h = 6. Let y be (g\/(-60))\/((-3)\/(-10)). Which is the closest to -1\/4? (a) 1.3 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5853579 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 2. Let s(w) = -11*w - 5. Give 10*h(c) + 4*s(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -2*f, 0 = -3*h - 2*h + 2*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 - 176 = 46*h - 176 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233851, 233853, 233855, 233857?\nAnswer: 233859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -96. Suppose -o*p = -14*p + 50. Suppose 187 = 3*y + p*q, -2*y + 152 = y - 2*q. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**2 - 73. Let y(o) = 43*o**2 + 3*o + 37*o**2 - 3*o - 75*o**2. Calculate y(j(x)).\nAnswer: 245*x**4 + 5110*x**2 + 26645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -0*a + 7. Let w(i) = -i**2 - i + 1. Let j(p) = 4*p**2 + 2*p - 2. Calculate a*j(t) - 2*w(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -624 - -617.92. Which is the second smallest value? (a) h (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) -1 (d) -4 (e) 0.077 (f) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 55. Suppose m = 6*w - 0*w - 195402. Suppose 4*f - 61433 = w. What is f rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169955 divided by 348.\nAnswer: 169955\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 8:26 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (8\/2 - 0). Let m be 44\/u - (-1)\/3. Let v be (-1)\/(-5)*m\/2. Sort v, 1, 2\/9 in ascending order.\nAnswer: 2\/9, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, 0.05, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g + 35. Let d be b(0). Calculate the greatest common divisor of d and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284998 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 64*s**3 + 6*s**2 - 15 - 63*s**3 + 2*s + 3*s**2. What is the remainder when v(-8) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(-1)\/(-5) - 1. Suppose 10 = -5*h + 3*a, -6*h - 2*a = -4*h + 4. Put b, 2, 35, h in ascending order.\nAnswer: h, b, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 3*x**2 + x - 2. Suppose 0 = 2*w + w - 12. Let g be y(w). Let p = g + -11. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/2)\/(7\/(-14)). Let h(n) = g + 3*n - 12 - n. What are the prime factors of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:33 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30*11\/(-88)*(-16)\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -43. Suppose -20 = -2*k + a. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 - 3*x**2 + 2*x. Let g be i(1). Suppose -2*d + g*h + 165 = -447, -4*d = 3*h - 1260. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 48*j - 270 = 0. What is the remainder when 668 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -865*o**9\/168 - o**5\/20 + 307*o**4\/2 - 11*o**2 + o + 1. What is the third derivative of l(y) wrt y?\nAnswer: -311400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -14) + (-30 - -5) + (1 - 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6802143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b - 4*o + 50 = 0, 4*b + 5*o - 49 = 0. Suppose -3*f - 4*r + 6 = 0, -2*f + 5 = b*r - 3*r. Let h be 3*f*1\/(-3). Let y(d) = d**2 - d - 1. Give y(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -20*b - 39. What is y(-8)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172111649 divided by -6.\nAnswer: -172111649\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kse when three letters picked without replacement from skkvsskeskvse.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 41202 = -35*q. List the prime factors of q.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/777159 and 73\/27.\nAnswer: 2331477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15263446 or -0.2?\nAnswer: 15263446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -770 - -929.6. Let x = 160 - j. Which is the third smallest value? (a) 0 (b) x (c) 0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/((-54)\/(-162)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 4, 0.\nAnswer: 0, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5206 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 4. Let l(k) = 1. Let v(m) = 3*m**2 + 9. Let i(b) = 2*l(b) - v(b). Let u(q) = 3*i(q) + 5*x(q). Find the first derivative of u(f) wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7\/67, -0.09.\nAnswer: -0.09, 7\/67, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 2*x + 21. Let z be i(0). Suppose -4*k = 3*k - z. Suppose 0 = -0*h - k*h - 3*j + 78, h + 4*j = 26. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 72183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/253260 and 59\/366?\nAnswer: 15448860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 6705?\nAnswer: -6704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -88*m + 87*m. Let p(v) = -v**3 + 2*v. Let n be p(-2). Suppose 0 = w - 2*c + 1, -3*w - 2*c + n = -1. What is the remainder when m is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 = z, 3*l = -l. Suppose 7 + z = -d - 5*y, -9 = -2*d + 3*y. Solve o + 4 + 0 = d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -21325.\nAnswer: -1\/4265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 6 = 0, -3*s - b + 7*b + 27 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4945*t + 4951*t + 66 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7589 is divided by 387.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13309, 53312, 119985, 213328, 333341, 480024, 653377?\n\"Answer: 13335*x**2 - 2*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1, 4, 19\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17252187 or -17252211?\nAnswer: -17252187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -158787, 5.\nAnswer: -158787, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2*(-27)\/(-6) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p + 219. Let a(m) = 7*m - 3. Calculate b(a(w)).\nAnswer: 126*w + 165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((238\/(-294))\/(-17))\/(3\/(-36))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**3 + 337*w**2 - 205*w - 151. What is p(-68)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*z + 3*z + 100, -4*q + 5*z = -396. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17224 and 17223 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 8 - 9*k**2 + 8.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7965, 30958, 69271, 122904?\n\"Answer: 7660*z**2 + 13*z + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**3 - 5*s**2 - 5*s - 5. Let g(p) = p**3 + p**2 + p + 1. Suppose 4*j = -2*r - 14, 37 = -5*j + 4*r - 0*r. What is j*g(z) - y(z)?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 73\nAnswer: 11\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -79*l - 11. Is w(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*o - 497*o - o**2 + 981*o.\nAnswer: -o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 6*h**2 + 3*h - 2. Determine o(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 306 - 284 - (-10 - 0 - (5 - 8))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**7\/2100 + n**6\/450 + n**5\/100 - 22*n**3\/3 + 16*n**2. Let i(y) be the first derivative of l(y). Let i(o) = 0. Calculate o.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p - 27. Let v be o(9). Suppose -2*q + 4*q = -v*q. Solve 5*j - 2*j = 2*h + 4, h - j = q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*t + 121. Let c be ((36\/t)\/6)\/(28\/240). Let -c*a - 27\/7*a**5 + 36\/7*a**2 + 0 + 6*a**3 - 45\/7*a**4 = 0. What is a?\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 2*a**2 - 6*a + 2. Let x(f) = -4*f**3 + 2*f**2 + 6*f - 3. Determine -3*b(l) - 2*x(l).\nAnswer: -l**3 + 2*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 29. Let y = -18 - s. Let g = 43\/4 - y. Is 1 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/22330*29*(-4)\/6.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let o(a) = -11568347*a - 1. Determine o(x(w)).\nAnswer: -23136694*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -61, -86, -121, -166?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/9)\/(7\/(-7)*-6).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*v + 525835 = 526522 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060047821 to five dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 35 = 2*g + w, -28*g + 5*w + 328 = 23 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3 + 5*w**2 - 8605*w + 2*w**3 + 8 + 8615*w. Let k(i) = -5*i**3 + 2*i**2 - 1. Let y be k(1). Is 14 a factor of u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 23*r + 354. What is the smallest common multiple of 1231 and n(20)?\nAnswer: 17234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 34*a**2 + 39*a**2 - 109*a**2 - 36 + 40*a**2. Calculate the remainder when d(-5) is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101971039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10585 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -652 - -657. Solve 2*z + 6 = 3*c, d*z = 6*c - 7*c - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnlclboonclc. What is prob of sequence ccn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.14 - 14. Let v = 0.86 + a. Let j be 8\/(-44) + 51\/99. What is the second smallest value in -0.1, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(2) - (1 + sqrt(18)))**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -325831092539 + 325831268759.9270264. Let j = q + -176221. Let h = j - -0.073. What is h rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.84 less than -0.5?\nAnswer: 305.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 1045, 2138, 3619, 5488, 7745, 10390?\nAnswer: 13423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 4 = -7654*r + 7650*r, -2*r - 1 = 3*c - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/((-3)\/(-15)). Sort -1, 0, l in decreasing order.\nAnswer: 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-2)\/(22\/(-11))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521028 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let p(t) = -2*t + 2. Suppose 4*s - 3*s = 6. Calculate s*p(w) + 14*c(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-14)\/(-18) - 40\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228 - -865. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6326, 0.62, 12 in increasing order.\nAnswer: -6326, 0.62, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**12*y*y)*y)\/y)\/y**6*y**(-20)\/(((y*y\/(y*y*y**(-1\/36)))\/y)\/y*y*y*y*y) assuming y is positive.\nAnswer: y**(-1513\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2173 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -5.353?\nAnswer: 3.2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 772*t + 6248. What is the ten thousands digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:54 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -113268*r**2 + 21*r + 2. Let d(p) = p. Calculate g(d(v)).\nAnswer: -113268*v**2 + 21*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**5\/200 + u**4\/24 - u**3\/10 + 19*u - 35. Let h(l) be the first derivative of r(l). Find p such that h(p) = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3129216 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(1\/2))**(1\/39)\/(l**(-8)*l**(-2\/5)*l))**(4\/5))**14 assuming l is positive.\nAnswer: l**(27076\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007804798232 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 105 - 93 = 0. Suppose u*m = g, 5*g = 4*g + 3*m + 1. Sort -2, -3, g in descending order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 + 625*n\/3 - 4936\/3.\nAnswer: -(n - 617)*(n - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*u = -5*u - 24, 2*u - 6 = 0. Let f be -1 + 1\/(g\/(-7)). Let o = -0.03 + -0.07. Which is the nearest to o? (a) 1\/4 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36e8 (base 16) in base 11?\nAnswer: -a619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 11. Let w = -5 + 11. Suppose w*o = 2*o + 40. Suppose -o = k + 6*a - 2*a, 3*k + 13 = 5*a. Calculate h(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/115478959?\nAnswer: -9\/115478959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - 3*f**5 + 6*f**5 + (-112 - 612*f**2 + 112)*(2*f**3 + 3*f**3 - 6*f**3).\nAnswer: 614*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 6*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrk when three letters picked without replacement from kxrkbrbkxrbrboxbrqb.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 2*n**6\/3 - 6*n**4 + 467*n**2\/2 + 2*n + 893. Find the second derivative of p(c) wrt c.\nAnswer: 80*c**3 - 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 27*y**2 + 18*y + 58. Let v be q(-26). Suppose 15*w - 29*w + v = 0. Solve 0 = 15*f - w*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/24*-26)\/((-60)\/2610*-29)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-441)\/(-252) - (-5237)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17670 and 17605 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -185*m - 12. Let d(k) = k**2. What is d(c(t))?\nAnswer: 34225*t**2 + 4440*t + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*a + 248, 4*a - 597 = -5*u + 5*a. Suppose 0 = -5*d + u - 14. Calculate the remainder when 39 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22025 (b) 2\/9 (c) 8\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-795)\/1272)\/((-2)\/8))\/(2\/(-8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 4*(sqrt(143) + -1*sqrt(143)) + sqrt(143))\/(4*sqrt(66)\/sqrt(6) - sqrt(11)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -955.4 + 954.9. Let y = -4 - -1. What is the smallest value in -0.3, u, y, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(4*h - h - 4*h) - 4*h + h + 5*h + h - 3*h + 4*h + 5*h + h + 58*h)*(-4*h + 4*h - 2*h**2)*(-2 + 3 + 2)*(2*h - 1 + 1)*(3 - 1 - 1).\nAnswer: -840*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*q + 1851 = -22*q + 7869 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 13, 20, 5 in descending order.\nAnswer: 20, 13, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*l**5 - 428*l**4 + 932*l**3 - 912*l**2 + 400*l - 64 = 0. What is l?\nAnswer: 4\/9, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 77914934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -11375235.\nAnswer: 1\/3791745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -1 + 5. Which is the second smallest value? (a) g (b) 0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/7 (b) 2\/9 (c) 12 (d) 176 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/12 + 23\/4. Suppose 4 = -4*f + a*f. Suppose -5*v + 4*v = 3*x - 24, -f*x + 51 = 3*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48706080 by -480.\nAnswer: -101471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*a - 6 + 6 + 2*a)*(1 - 8 - 8)*(1 - 8 + 3) in the form j + q*a and give q.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444246 (base 14) to base 15.\nAnswer: -30b510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/3)\/q**(-2\/13)*(q\/q**(4\/11))\/(q*q\/((((q*q\/q**7)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-4952\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 25604 and 25599 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7967, -7871, -7619, -7133, -6335, -5147, -3491, -1289?\n\"Answer: 13*k**3 + 5*k - 7985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.121 or 6?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.3 - -2.7. Let l = 8 - 5. What is the nearest to -3 in 2\/17, l, b?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 2*s - 4. Let h be f(5). Let v = 2.144 + -1.944. Which is the third biggest value? (a) 0.4 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188080 and 2640?\nAnswer: 6206640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -235265\/98 less than -2402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 1004. What is s rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 12) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/g)\/(g**7\/g)*g**(-2\/51)\/g*g**(-1) assuming g is positive.\nAnswer: g**(-359\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from fmnneefnnnfrflfmn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-81926)\/65*(-1 - (-7 - -1))*-1 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - ((-15)\/(-2))\/3. Let z = -951 - -556. Let m = 394.6 + z. Sort m, 0.09, q in decreasing order.\nAnswer: 0.09, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from nonononoonnoononnnno.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12 - 90\/(-54)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x + 21. Let t be j(0). Suppose f + t = 4*f. Suppose 4 + f = b. Solve 5*a + b = 2*r, 5*a + 10 = 3*r + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 3. Suppose -2 - w = -5*p. Suppose -5*q - 62 = -3*s, 5*q = p*s + 1 - 34. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -80*v + 37. Let p be w(-5). Suppose -5*t - 3*r = -271 - p, 0 = -r - 4. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*t**2 + 0 + 3*t + 9 - 11 + t**3 in the form a*t**3 + q*t**2 + j*t + z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 0.84 (b) -10 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - y - 2. Let f(i) = -2*i**3 + i**2 - i + 2. Let a(m) = -7*m**3 + 13*m**2 - 9*m - 1. Let u(t) = -a(t) + 4*f(t). Give 18*k(z) + 4*u(z).\nAnswer: -4*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 11, 5.\nAnswer: -15, -5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 4*s + 3. Let z be d(2). Suppose z*c - 2 - 19 = 4*k, -15 = 5*k. Suppose c*y = y + 96. Calculate the highest common factor of y and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -386*f**5 + 6*f**4 + 167*f**2 - 6*f - 1. Let d(z) = z**5 + z**4 - z**2 - z. Let v(a) = 6*d(a) - h(a). What is the third derivative of v(w) wrt w?\nAnswer: 23520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*v - 15 = -3*r, -20 = -3*r + 4*v. Suppose 4*f - f = r. Let m = 3.8 + 1.2. Which is the nearest to 1? (a) m (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Let r(v) = -73*v**2 + 0 + 62*v**j + 0. Let w(x) = 2*x**2. What is w(r(d))?\nAnswer: 242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157842*s**3 + 108972*s**3 + 125802*s**3.\nAnswer: 392616*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 455444263*y**5 + 668*y**2 - y - 6862.\nAnswer: 27326655780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-69))\/(1 + (-4)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56180, 112361, 168542, 224723, 280904, 337085?\n\"Answer: 56181*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b - 130. Let n be d(8). Let v be 4\/n*480*(-39)\/52. Calculate the highest common divisor of v and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 13) to base 4.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17. Suppose -5*q + 4*h + 90 = o, h + 75 = 3*q + 2*q. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o - 5*o + 4*o)*(o + o - 4*o) - 2*o**2 - o**2 + o**2)*(-2*o**3 + 8*o**3 - 2*o**3).\nAnswer: -24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 + 5*f**2 - 3*f**2)*(f + f - f) + 9*f**3 + 28*f**3 + 18*f**3 as c*f + v*f**3 + g*f**2 + r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 4*n**3 + 2*n - 3*n**3)*(4*n - n - 2*n)*(-n + 4*n - n)*(1 + 4 + 1).\nAnswer: -48*n**5 + 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/4 + 2*u**3\/3 + 7*u**2\/2 - 441*u. Let m(f) = -f**2 - f - 1. Give 5*m(p) + v(p).\nAnswer: -2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n. Let t(v) = -15*v**2 + 2. Calculate r(t(u)).\nAnswer: -255*u**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-4)*(-56)\/42\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 48?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13134244 + -120?\nAnswer: 13134124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -38*f + 26*f + 2 + 0 - 4 + 17*f. Let a(t) = 4*t - 2. Let o(y) = y**3 - 7*y**2 - 4. Let z be o(7). Give z*a(m) + 3*w(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 35*p - 1. Let d be m(11). Let j be -66 + 1 + -2 + -1. Find the common denominator of j\/d + (-4)\/(-6) and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 5*x**2 - 2*x - 14. Let z be n(6). Suppose z*u = 34*u. Is -1\/141 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 10*r**3\/9 - 19*r**2 - 24*r + 1503. Factor q(j).\nAnswer: 2*(j - 12)*(5*j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:03 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266565, 533139, 799713, 1066287, 1332861?\nAnswer: 1599435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/6 - 37*s**2 - 15*s - 2. Differentiate o(b) with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -3 - (sqrt(266)\/sqrt(7))\/sqrt(2) - ((0 + 1*sqrt(2736) - sqrt(2736)) + 1))**2.\nAnswer: -80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in -4\/5, 3, -5, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 9*r - 7. Let f be o(8). Let m = 1 + f. Calculate the least common multiple of m and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 equal to -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/22)\/(36\/7524).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + 1*sqrt(10))*3)\/(sqrt(50)\/sqrt(160)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7236 and -113\/702160.\nAnswer: 18958320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 (base 7) in base 2?\nAnswer: -11000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1971*q - 235 = -1976*q + v, -7 - 134 = -3*q + 26*v for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2099424.6*0.4\nAnswer: -839769.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3*15)\/(-1 + (-7)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -1371*s - 5*s**2 + 20 + 1371*s = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.53 + -5.13. Let p = -5 - m. Let v = p - -0.7. Is -0.1 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236.4864446 - -0.562.\nAnswer: 237.0484446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*n - 105, 18487*u = n + 18506*u + 55 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -5*y**2\/2 - 6. Is n(-8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/60 - 3*n**4\/8 + n**3\/2 - 3*n**2. Let w(s) = -s**2 - 4*s + 1. Calculate 5*w(y) - 2*x(y).\nAnswer: -3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180)\/(5*sqrt(5)*-1))\/(-2*(sqrt(12) - (sqrt(192) + -1*sqrt(192)))).\nAnswer: -3 + sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from {a: 3, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 - 91. Let v = -129 + f. What is the closest to 0 in 5, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56573 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.075 - 15.125. Let r = -0.95 + x. What is the biggest value in -0.4, -4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i - 5*i + 18*i - 3*i**2)*(-40*i - i**2 + 38*i - 3*i**2).\nAnswer: 12*i**4 - 2*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1316 and 16521064.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from gzmggqggkkkg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77037?\nAnswer: 3, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1470959 and 840548?\nAnswer: 5883836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/20)\/((-5)\/4). Let d = 0.2619 - 0.6619. Which is the closest to l? (a) 1\/3 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 8:59 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(4*h**4 - 12*h**4 - 3*h**4).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 27232?\nAnswer: -54464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 2740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(44)\/sqrt(4) + (sqrt(11) + -2 + sqrt(11))*3 - (5 + ((-2 + sqrt(11))*-2 - -1*sqrt(704))))**2.\nAnswer: 150*sqrt(11) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*q - 2, 4*w + 1 = -2*q + q. What is the nearest to 0.1 in 2\/13, w, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 14) + -8 + -2 + -13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -1\/8*z**4 + 11*z**2 + 0 + 5\/2*z**3 + 0*z + 17\/30*z**5. Let i be g(-13). Round i to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 14*z - 12. Let g be m(-16). Suppose -12 = 4*w - g. Solve -t**2 + 5*t**2 - w*t**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6155074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/3 - 656*u**3\/3 + 2912*u**2 + 469760*u\/3 - 7481600\/3 = 0 for u.\nAnswer: -668, -28, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3007671284 to the power of 1\/3, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*n, r - 4*n - 15 - 4 = 0. Suppose -13 + r = -2*x. Solve v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.8 - 14. Let m = q - 4.8. Let c = -6.0000003 - m. Round c to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11249?\nAnswer: 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 + 156. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-24)\/(-15))\/(4\/20). Suppose -3*y + m*h - 3 = 0, 4*y + 2*h + 28 = 24. Which is smaller: y or 4\/219?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4659 (base 12) to base 5.\nAnswer: -222340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d + 2 - 107*d**2 + 98*d**2 - d**4 + 2*d**4 to the form k*d**3 + b + l*d**2 + p*d**4 + n*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + 8 - 97*(-4)\/(-120) and -35\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*q + 7*q + 2 + 14*q)*(3 - 5 + 4) to the form d*q + a and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 477 or 478?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:28 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0*n**2 - 1 - 5*n + 10*n - n**2. Let q(w) = w**2 + 7*w - 6. Let s(y) = 2*y - 1. Let l(r) = q(r) - 8*s(r). Give 5*f(x) + 3*l(x).\nAnswer: -2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1787*i - 1787*i + 231*i**2 as w*i**2 + g*i + t and give w.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*t = o - 188*t - 144, o + 2*t = 138. Is 75 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i + 70. Let b = -17 - i. Suppose 4*j + 3*q - 7 = 0, 2*j + b = 5*j - 2*q. Solve -3*l - j - 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(19875\/(-180))\/25)\/(6\/(-18))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujjjjjuujjjviji. What is prob of sequence jj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/17 + 53990*s - 14684768\/17 = 0 for s.\nAnswer: 16, 458899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 16. What is w(-7)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Let j(q) = i*q**2 - 5 + 5. Let s(g) = -5*g + 3. Let m(h) = 14*h - 8. Let l(a) = -3*m(a) - 8*s(a). Calculate l(j(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7831126ml?\nAnswer: 0.0007831126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -0.2, -0.4, 10 in descending order.\nAnswer: 10, 0.4, -0.2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + 2312?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186711612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w + 8. Let a(y) = -11*y - 5. Let t(x) = 8*a(x) + 5*u(x). Let o(h) = -4*h. Determine -2*o(z) + 3*t(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 7*w**2 + 2*w - 4. Let x be i(-7). Let a = -18 - x. Suppose o + 5 - 7 = a. Solve -3*t + t = -o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6528843817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90 and -2366.\nAnswer: -212940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + -1)*4\/(-14). Let h be 1 - -1*(13 - -1). Suppose q - 3*s - h = -4*q, -2*q + s = -6. Solve -q*z = -r*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k + 43. Let t be i(-9). Let n be 1406\/8 - 120\/t. Let h be 3\/((-9)\/(-25))*3. What is the greatest common factor of n and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -89. Put 3\/11, 5, p in increasing order.\nAnswer: p, 3\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*a**3*o*r - 2*a**3*o + 107*a**2*r + a*o*r - 846*a*o - a + 5*o*r - 1 wrt a.\nAnswer: -78*a*o*r - 12*a*o + 214*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:45 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -167.2*4\nAnswer: -668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15*3\/18*4. Let z be c\/(-45) - 4\/(-18). Suppose l = -z*l + 3. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -14, -15?\n\"Answer: -k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 1. Suppose 1 = -h + 2. Let u be p(h). Does 13 divide (-3 - -2)\/(u\/(-26))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.06, -2\/1243?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 45171312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from {s: 7, z: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*(-16)\/120*(-2 + (-3 - -6)). Suppose -3*k - 2*k + 2*x + 4 = 0, -5*x = 2*k + 10. Let i(u) = u + 16. Let m be i(k). Solve f*b = -2*b + m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 divided by 2514082?\nAnswer: -313\/2514082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(((n\/(n*n**(-2\/45)))\/n)\/n))\/n)\/n*n)**(7\/13))**(-2\/59) assuming n is positive.\nAnswer: n**(-1232\/34515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = 5. Let h(p) = p + 3*p + 3 + 3. Let i(c) = -c - 1. Calculate l*i(s) + h(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*r - 2405 + 12664 = 0, 2*q - 10260 = 4*r. Is (q\/(1 - -3))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193128.751 rounded to the nearest 1000?\nAnswer: -193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.075 - -17.775. Sort u, 5, -2\/7, -1\/6, 6 in decreasing order.\nAnswer: 6, 5, -1\/6, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7*w - 378 = 0. Suppose -w = 7*y - 8*y. Suppose 2*f - y - 47 = 0. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p + 2 = 4*l + 54 - 149, -4*l = 3*p - 4*p + 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 343*v**3 + 86*v**3 - 38*v**3.\nAnswer: 382*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 1469.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 1 - 7. Find the common denominator of -74\/3 and 0 - ((-413)\/(-63))\/((-3)\/r).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0191, -3\/17, 27, 1\/3, 24\/13?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -11. Let x(h) = -71*h + 0 + 65*h - q. Let i(p) = -4*p - 3. Calculate 8*i(k) - 5*x(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5158 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 791 divide 62299160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-19 + (25 - 31))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 + 3*g**2 - 3*g - 3. Let v(r) = 23*r**3 + 8*r**2 - 10*r - 8. Let b(l) = -8*n(l) + 3*v(l). Find the second derivative of b(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.81 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9874, 19619, 29364?\n\"Answer: 9745*d + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -251\/9. Let q = 5199 + -5197. Which is the nearest to q? (a) -0.5 (b) p (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 910.2504 to the nearest integer.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -14. Let h(r) = r**3 + 2*r**2 + r - 2. Give h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -b - 5*p - 7, -p + 346365 - 346376 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 653263394?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 3 + 10 - 7. Suppose -7 = -5*b - 2. What is the remainder when 14 is divided by m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162.49 times -0.3\nAnswer: 48.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2) + 0)*2. Suppose 4*l + r = 25. Suppose -6*i = -i - 2*g - 16, -i = g - l. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, 0.1, 0.044?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4807727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(104)*2)\/sqrt(8) - sqrt(13)) - -3*(-1 + sqrt(13) + -2)**2.\nAnswer: -17*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r + r**2 + 12*r**3 - 181*r**3.\nAnswer: -169*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106340 (base 8) to base 11.\nAnswer: 25106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = -4*q. Let c(z) be the second derivative of -z**3\/6 + z**2\/2 + 1056*z. Let a(v) = -3. Calculate q*a(w) + c(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + (75 - 115) + -98.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/5))**13\/(u\/(u*u**(-6))*u\/(u*u*u**(-3\/16)\/u)) assuming u is positive.\nAnswer: u**(-79\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15967 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p - 192294 - 211249 - 43141 = 0. List the prime factors of p.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-3)*(-138)\/92.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 132098886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -479*j**3*l*t - 5*j**3*l - 2506*j**3*t + j**2*l*t - 47*j**2*t wrt l?\nAnswer: -479*j**3*t - 5*j**3 + j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-6)\/(-1)*687\/8244)\/((-2)\/136)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:38 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38616 divided by -5?\nAnswer: -38616\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 385\/2 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 4*a**2 - 3*a**2 + 2*a**2 + 3*a**2 - 3*a**2 + (-3*a**2 + 0*a**2 + 2*a**2)*(0 + 2 - 3).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16847 + 7838 - 15716 = -575*y for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/96 and 5\/56.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 15*m + 13. Determine y(5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -7. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -0. What is the derivative of -p*t**4 + 0 + 3*t**4 - 1 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15259061 + -32?\nAnswer: 1525902a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 4. Suppose 4*r + 4 = -4*b, -r - 2*b - 7 = b. Let o be p(r). Suppose 2*w + 2*t = 36, -o*w - 3*t = 2*w - 67. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10615063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001923024 rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 798.231 - 0.\nAnswer: 798.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219837\/7 + 31400. What is the third smallest value in -0.1, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -a + 2*a. Let j = -657 + 672. What is the highest common divisor of a and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/37))\/((t*t*t\/(t**14*t))\/t)*t**0\/(t\/(t**8*t)) assuming t is positive.\nAnswer: t**(812\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**3\/3 - 5*u**2 - 5*u - 1. Let t be o(-7). Suppose -5*a + 129 + t = 0. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3980, -3655, -3114, -2357, -1384, -195?\n\"Answer: 108*r**2 + r - 4089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -927, -1821, -2713, -3603, -4491, -5377, -6261?\n\"Answer: d**2 - 897*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:20 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 4, 160, 5 in descending order.\nAnswer: 160, 65, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 6. Suppose -y - x = -7. Solve -y*s + 0 = 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 23935*d + 8 - 19 + 20*d**3 + 23934*d.\nAnswer: 20*d**3 - d - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let d(y) = -10*y - 2. Give d(c) - 2*q(c).\nAnswer: -12*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(7) + sqrt(63) + sqrt(7))*3).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 4*s - 4. Let o(j) = 5*j**2 - 9*j - 9. Let u be (-3 + (-1 - 0))*-1. Determine u*o(x) - 9*r(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x + 1. Let k(y) = 12*y + 4. Let c(b) = 4*k(b) - 11*s(b). Let d(l) = l + 1. Calculate -c(g) + 2*d(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(4*i**3 + 6*i - 4*i - 3*i**3) to the form x*i + o*i**3 + a + l*i**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 652\/8 - 2\/(-4). Suppose g + s = 3*g. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3 - 3*g**2 + 3*g**3 - 12 + 25*g**3 + 9*g**3 - 36*g + 15*g**4 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-22)*(-3)\/42)\/((-60)\/(-192)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.9. What is the nearest to c in 6\/11, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**6\/40 - 9*u**5\/40 - 9*u**4\/16 - u**3\/2 + 23*u. Factor l(s).\nAnswer: -3*s*(s + 1)**2*(s + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, w: 4, j: 1, b: 4, a: 7}. Give prob of picking 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*n - 12*n + 9*n + 7*n**2 + 3*n**2 wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14979 - 14974 + 2*b + 44931 - 14979. Let h(a) = -a**2 + a. Determine 2*h(r) - 3*z(r).\nAnswer: -2*r**2 - 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101\/325 - -3\/13. Sort w, -0.3, 2.\nAnswer: -0.3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/120 + x**5\/10 + x**4\/8 - x**3\/3 - 4*x**2. Calculate the smallest common multiple of o(-5) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*y + 350 - 330, 9*g - 6*y = -74 - 16 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.7. Let p(z) = z**3 - 3*z - 12. Let t be p(0). Let i = t - -47\/4. What is the closest to i in m, 4\/3, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -3*m + 107. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8)*(-23)\/((-1035)\/54)*(-8)\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 7 = -3*g + 50, -30 = -4*u + 2*g. Let j(w) = -3*w**2 + 20*w + 31. What is j(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/6 + 1040*r\/3.\nAnswer: -5*r*(r - 416)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 2. Suppose -18*u - 84 = -4*u. What is b(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 5825844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*s + 4*w, -5*s = -3*s + 2*w - 8. Suppose s = -5*v + v + 12. Let l(a) = -a**2 - 7*a - 12. Let m be l(-4). Sort v, m, 8 in ascending order.\nAnswer: m, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.775 - -3.775. Put 0.1, 0.065, -37, 0.3, b in increasing order.\nAnswer: -37, b, 0.065, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/15 - (2 + 16\/(-6)). Suppose -y*i = 133 - 7. Let s = i + 26. What is the smallest common multiple of 4 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9022447\/110 - -82023. What is the common denominator of v and -69\/232?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3163958, -6327932, -9491934, -12655976, -15820070, -18984228, -22148462, -25312784?\nAnswer: -28477206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763153 at least as big as 2763154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 266810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-9))\/((-276)\/2484).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:37 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -1650155.9?\nAnswer: -1650155.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1932, -3755, -5482, -7107, -8624, -10027, -11310?\n\"Answer: x**3 + 42*x**2 - 1956*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 + 0.45. What is the closest to -2\/5 in -2\/3, -2, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1530*f**2 - 766*f**2 - 765*f**2 - 975 + 481 + 494.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 41 (c) -1226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5 - 2*i**4 - 342*i**3 + 13890*i**2.\nAnswer: -120*i**2 - 48*i - 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Let k(n) = 7*n**z + 4 + n + 5*n + 6*n**2. Is k(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 2*g + 6 + g + g**2. Let b = -74 + 78. What are the prime factors of l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -26. Let h = 8 - 4. Suppose r = 2*u + 1, 0*r + 13 = -u + 3*r. Solve -2*w + 4*w = k*o - 18, u*w = h*o - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/189*(-21)\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.45, -3, 0, -646?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*g + 19, 0*f + 20 = 4*f - 4*g. Suppose -d = -5*j + 1, -2*d + 2 = j + 4. Put f, d, -2, 4 in decreasing order.\nAnswer: 4, f, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 18*l + 543. Let a be j(-30). Sort -4, a, -1, 12.\nAnswer: -4, -1, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c + 1820 = -189. Solve -c*r + 39*r = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**4 - 2*x**2 - 3*x**4 + 0*x + 2*x**3 - 4*x**2 - x + 1 to the form r*x**4 + s*x**3 + b + v*x**2 + j*x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 35. What is the first derivative of 3 + r*a**2 - 6*a**2 - 10 - 23*a**2 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116966813 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (96 - 96)*(-1)\/(-3). Which is smaller: u or -2\/5623?\nAnswer: -2\/5623","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 2\/11, 0.2, -3, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4\/7 + 1056*m**3\/7 - 71776*m**2\/7 + 274560*m\/7 - 270400\/7.\nAnswer: -4*(m - 130)**2*(m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 13*l + v = -2, l + 3*v + 13 = 0. Calculate the common denominator of (-71)\/(1\/1 - -3) and (l + 618\/28)*32\/160.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -478 + 474. Put -11, b, -2, 2 in descending order.\nAnswer: 2, -2, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 1 (c) -0.084 (d) -104 (e) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -6*l**4\/7 - 766*l**3 + 7278*l**2\/7 + 105570*l\/7 - 35800\/7 = 0.\nAnswer: -895, -4, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102699502, 205399000, 308098498, 410797996?\nAnswer: 513497494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/((-1)\/1)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 163796 and 162075 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-2\/11)*d*d**(-3\/7)*(d\/d**(1\/3))**33 assuming d is positive.\nAnswer: d**(1878\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5889 and 79\/18120?\nAnswer: 235560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(320) - sqrt(320)*-1)*-6 + (2*sqrt(320)*4 - ((sqrt(320) + 0)*-2)**2))*6 + -3.\nAnswer: -7665 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1)*-5 + 3 + (-1*(3 + sqrt(55)\/sqrt(5)))**2.\nAnswer: sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cktncnnkjkkgnkngk. Give prob of sequence gjk.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 1. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -144 in increasing order.\nAnswer: -144, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p. Let r be d(1). Suppose 0*n - 5*n = r. Suppose n = -k - k + 196. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*p - 16740 = -400*p for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 48 = -3*v - 2*n, -5*n = v - 24. Let d = v - 17. Which is smaller: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5*j - 2*w = 13 - 24, 3*j + 5 = -7*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/20 - -2\/5. Let w(v) be the second derivative of 0*v**3 + k*v**4 + 0 - 1\/20*v**5 - 2*v**2 - v. Find m, given that w(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**14*v**11)\/(v**3)**11 assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 10*y**2 + 6*y + 3. Suppose o = -3*o - 36. Let q be p(o). What is the second derivative of 30 + 3*k - q + 2*k**2 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1 (b) 5 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -216\/36603385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 + 2.01. Let r = 21 + -18. Let o be 1 - r\/30*5. What is the closest to p in -2\/7, -3\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -8 - 1\/15*o**2 - 2\/45*o**3 + 4\/5*o. Factor u(x).\nAnswer: -2*(x - 2)*(x + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*b - 12, 4*b - 3*s = -6*s - 17. Let f(x) = -x**2 - 24*x - 95. Let y be f(-19). What is the nearest to b in y, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 38. Let o be (24 - v)*25\/(-3). What is o rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from owoooooooowo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37114 by -4070.\nAnswer: -1687\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Let t(x) = o + x - x - x. Let w be t(-5). Calculate the highest common factor of w and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 1421153894?\nAnswer: -1421153891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 + 306. Calculate the remainder when 117 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*100\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1023, -4073, -9141, -16221, -25307?\nAnswer: -36393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1122.179 + 1125. Let s = i + -3.71. Let g = s - -0.039. Round g to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/7)\/r)\/(r\/r**(-8))*r**(-3\/2)\/r**(-2\/13))**(-34) assuming r is positive.\nAnswer: r**(33779\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005024 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, 2, 1 in ascending order.\nAnswer: -4, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/10)\/d)**(2\/49) assuming d is positive.\nAnswer: d**(-9\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 2*k**2 - 4*k + 4. Let y be r(3). Let d be -1 + (60\/14)\/3. Let w = -9 - -8. What is the nearest to w in y, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -7\/24*k**6 - 47\/6*k**3 - 8 - 6*k**4 - 11\/5*k**5 - 41\/8*k**2 - 3\/2*k. Determine h, given that a(h) = 0.\nAnswer: -3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -8. Solve -6*q = -q - g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27323268 or -27323267?\nAnswer: -27323268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/33 and -20\/477?\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 times 0.4\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**8)\/l**(-4)*l**(3\/8)\/l**(-17) assuming l is positive.\nAnswer: l**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 - -1. Let j be (-1)\/2 + 4\/32. What is the closest to 0 in 0.2, t, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-3)\/(3\/(-2)). Is (-1)\/((w\/(-573))\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -48 + (3 - -32 - (5 - -19))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 18. Suppose 0 = 2*b + q - 8514, 3*q = -i*b + 4*b - 4257. Let d be b\/(-6) - (-1)\/(-2). What is d rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2357073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**5 - 85*w**4 + 105*w**3 + 245*w**2 - 440*w + 180.\nAnswer: -5*(w - 1)**3*(w + 2)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.028 - -0.072. Which is the nearest to f? (a) 1\/26 (b) -1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1162455609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 2\/2*-6. What is the third derivative of 2*r**6 - 4*r**2 + 3*r**t - r**2 wrt r?\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204.69 + 209. What is r rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-25))**(-1\/51)*(c*c*c\/(c\/c**(-15)))**(-1\/13) assuming c is positive.\nAnswer: c**(76\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x - 80 = -125*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6130 and 1319?\nAnswer: 7449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**3 - 552*o**2 - 1043*o + 3285. What is b(-90)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 6*v + 2. Let y be f(6). Let o(q) = -q**2. Let x be o(y). Let p = 3.2 - 3. What is the nearest to -1 in -2, x, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104678221 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = -2*o, -19*i + 20*i + 8 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8054513.13 to the nearest one hundred thousand.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 8*l**2 - 76*l + 297. Determine u(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.068 and 1237126407?\nAnswer: 1237126407.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*o**2 - 26*o + 26*o)*(0 + 2*o + 0)*(2*o + 0*o - o) to the form x*o + i*o**4 + c*o**3 + l + m*o**2 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*z**2 - 69*z**2 + 32*z**2 to u*z**2 + a*z + j and give u.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let z be j(-1). Let q be 0\/(5 - 2) - z. Factor -q*y + y + y**2 + y + y.\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:25 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5127 and 230933752?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793218931.\nAnswer: 793218931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 11*l**2 + 5*l - 8. Let x be s(-6). Let r(i) = -i**3 + 5*i + 6. Let q be r(x). Suppose o - 2*c - 4 = 4, -o = 2*c - q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540342602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at most as big as 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 539877787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - m + 2. Let i be -5 + 7 + -1*2. Give x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 17, 31, 51?\n\"Answer: 3*p**2 - p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (-50 - 13) - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2065 = 1828*t - 32667 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/8 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10615, 45, 159 in descending order.\nAnswer: 159, 45, -10615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5.8. Which is the closest to -2\/9? (a) i (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107*j**2 - 2*j + 834 wrt j?\nAnswer: -214*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -27*f**2 - 6*f - 9. Let v be b(-2). Calculate the remainder when v\/(-70)*4*83 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -155, -156, -155?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 12*y - 156. Let t = y + -36. Let l(a) = -a**2 - 4*a - 2. Calculate l(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1952955334 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 22172*m + 22176*m - 54 = 0, 4*d + 3*m = 47 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let a(x) = -12*x - 1. Let r(u) = -a(u) + 3*c(u). What is the remainder when r(2) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4 - (124 - 2). Let k = v - -332. Does 4 divide k\/18 + 4\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11049988?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 552860*g + 552855 = 0. What is g?\nAnswer: -110571, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424030 is divided by 211764.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9535 is divided by 3177.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 805*c**3 + 8*c**2 - 7*c - 17. Is r(2) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23 - (24 - 38)) + 9 + -1. Let l(b) = -2*b**2 - 5*b - 5. Let h(r) = -r - 1. Determine v*l(d) + 4*h(d).\nAnswer: 2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53629 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 83*f + 513. Let t be m(11). Calculate the greatest common divisor of t and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3891 or 2173?\nAnswer: 3891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 10, -5*o + 0*w = w - 17. Suppose 5*x + 2 + o = 0. Are x and 2\/37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d**3 + 4 - 22*d**3 + 6*d**3 - 29.\nAnswer: -48*d**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-10))\/(l*l**(2\/19)*l) assuming l is positive.\nAnswer: l**(-211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.78 times 0.5?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 254?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/142?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/124 and 67\/44651098?\nAnswer: 89302196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53553 (base 6) in base 8?\nAnswer: 16255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose f + 3*t = 22, -f - 2*t = -v*t - 18. Suppose 0 = 2*w - f - 58. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 155370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 541*f**3 - 2*f**2 - 139?\nAnswer: 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78541408 - 38328220521\/488. Let r = 3\/488 - b. What is the common denominator of r and 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 7*t**2 + t + 12. Let g be c(-7). Suppose 2*f - 2 = -5*i + 110, 5*i - g*f = 140. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1029 + 1024. Sort -91, l, -4 in descending order.\nAnswer: -4, l, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102010202022 (base 3) to base 9.\nAnswer: -363668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(8\/(-6)). Suppose -142*l + 532*l = 0. Which is the closest to -1? (a) r (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/3)\/2*1. Suppose -4*z + 128 = -r*z. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990964107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*m + m. Let j(b) = -2*b - 6. Let c be j(m). Let i(l) = -4*l + c*l + l**2. Let z(w) = w**2. Determine i(z(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -115. Suppose 4*h - i*w - 15 = -4*w, -w = -5*h + 21. What is the least common multiple of 92 and h?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j + 66. What is the units digit of j\/(-4)*6\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**3\/3 + 17*a**2\/2 + 2*a + 12. Determine w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 727 + 302. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkii when four letters picked without replacement from {i: 2, k: 2, l: 6, a: 8}?\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 19*u**2 - 17*u + 21. Let w be f(-18). Determine d, given that -3*d**5 - 6*d**3 + 8*d**w + 3*d**4 + 7*d**5 - 3*d**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880) + sqrt(55))\/sqrt(11) - (sqrt(5) - ((sqrt(35)*-1)\/sqrt(7))**2 - sqrt(5)).\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14141?\nAnswer: 79, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000162994587 rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 814621*x**3 - 3834114*x wrt x.\nAnswer: 4887726*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z + 13463645*z**2 - 1 - 17*z**3 - 13463645*z**2 in the form n*z + g*z**3 + r*z**2 + l and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52318 and 45038.\nAnswer: 168307006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -1, 9, 19?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49425923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003952086 to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 38. Let x(g) be the first derivative of 7*g**4\/4 + 5*g**3\/3 + 5*g - 1. Let r = -13 - -8. Let v(h) = 4*h**3 + 3*h**2 + 3. What is f*x(k) + r*v(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 8, d: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 9\/4, -2\/7, -3\/5, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = 263 - 443. Solve -20 = 4*t - 4*i, -3*t + 3*i = 6*i + n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/286 and 34\/39.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 7454*f**2 - 7446*f**2 + f.\nAnswer: 8*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -11.8. Let r = -24.2 + 25. Let g = r - o. What is the closest to 1 in g, 5, -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -2*u - 527 + 362, 3*u = -4*y + 58 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 + 2*z + 7. Calculate h(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, a: 1, d: 3, o: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -810*h**2 + 121*h - 4. Let s be m(-6). Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 7. Let h(g) = -g. Let a = -25 - -31. Suppose -r = a - 3. Let u(k) = r*h(k) + n(k). What is the first derivative of u(t) wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 37 + 260 - 116 - 32 - 41 - 161*s**2.\nAnswer: -161*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80922968 is divided by 10289?\nAnswer: 10272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1303\/8 + -697\/4. Calculate the common denominator of (10 - (-4683)\/(-469))*-44 and a.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z\/z**(-1\/2))\/(z**(1\/4))**(3\/10) assuming z is positive.\nAnswer: z**(97\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/120 + 7*l**5\/60 + 5*l**4\/24 - l**3\/3 - l**2. Suppose -4*v = -v + 18. Let w be f(v). Which is bigger: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:10 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 24, 194\/27 in decreasing order.\nAnswer: 24, 194\/27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130634?\nAnswer: 2, 11, 96847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 9?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 41, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102*j**3*w + j**2*w - 127*w wrt j?\nAnswer: -612*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 1. Let x be o(-6). Which is greater: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411240 + -21?\nAnswer: -411301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:49 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 38\/(-2)*-1. Suppose -5*x - u = -224. Calculate the highest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -36*h**4 - 64*h**3 + 16*h**2 = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxx when three letters picked without replacement from {c: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 24507 and 0.037703.\nAnswer: 24507.037703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 135275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47968*a - 47966*a = 4*b + 6, 4*b + 3 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 3*z**2 + 2*z + 4. Let c(x) = x**2. Calculate 5*c(q) + k(q).\nAnswer: q**3 + 2*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174 or 1391\/8?\nAnswer: 1391\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 739*g - 2118*g - 1462*g to the form v*g + a and give v.\nAnswer: -2841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q - 0*q. Suppose -5*z = -4*s - 13, 0 = z - q*z - 4*s + 32. Suppose -z*l = 5*i - 35, l - 12 = -l - i. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 294 (b) -22322 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 110617*w**3 - 110609*w**3 - 2*w.\nAnswer: 8*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - (4*sqrt(64) - sqrt(64)))\/sqrt(4) + -5*(sqrt(16) - sqrt(64)))\/((5*sqrt(88)*1)\/(-5*sqrt(22)\/sqrt(2) + sqrt(11))).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 793\/3255 - -5\/217. Let t(h) be the first derivative of i*h**3 - 4\/5*h + 0*h**5 + 3\/5*h**2 - 5 - 2\/5*h**4 + 1\/15*h**6. Factor t(c).\nAnswer: 2*(c - 1)**3*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y**3 + 9*y**2 - 101*y + 31. Is j(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168486466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*3*((sqrt(1573) + 2 + sqrt(1573))*5 + -6*(0 + sqrt(1573) + sqrt(1573))))**2)*-6 + -1.\nAnswer: -345163 + 23760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dodwbwdwwdoggdc. Give prob of picking 1 b, 1 c, and 1 o.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -10, -6, 2, 14, 30, 50?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -77, -112, -147, -182, -217?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -184292 (base 11) in base 16?\nAnswer: -454c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*y + 1040, -4*y + 6*y = 0. Calculate the highest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325345856, -325345854, -325345852, -325345850, -325345848?\nAnswer: -325345846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -6\/17, -3?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k**2 - 8*k - 101. Let q(t) = 8*t**2 - 5*t - 67. What is -8*q(n) + 5*y(n)?\nAnswer: -9*n**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 + 48 = 28*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekavezzrkzkkkkzrv. Give prob of picking 1 v, 1 e, and 2 z.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/2 - 6*k**4 + 51*k**3\/2 - 44*k**2 + 24*k = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1273129, 1273128, 1273127, 1273126, 1273125?\nAnswer: 1273124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28430726 by -20221.\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1246 in descending order.\nAnswer: 1246, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*o = 0, -3*q + 5*o - 6*o + 15 = 0. Let r be q\/21 - ((-60)\/(-14) - 0). Let s be -2*((-32)\/(-4))\/r. Solve 3*y + s = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 - 3*b**2 - 3*b. Let p = -106 + 111. Let d(r) = -r**3 + 3*r - p*r - 2*r**2 - 3*r**3. Give -3*d(i) + 2*m(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 8 = 2*k. Suppose 4*q = k*d - 60, -3*d + 49 = -0*d - 5*q. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/36*-3)\/(5\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 16. Let x = -10787 - -10806. What is d(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -79\/5, 0.044 in increasing order.\nAnswer: -79\/5, 0.044, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5077, 5584, 6093, 6604, 7117, 7632?\nAnswer: 8149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from oxoxxnx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 88950.\nAnswer: 711600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*c = 181*c - 72 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 92 + 32 = 0. Solve -4*m - 5*w - 5 = 0, 0 = -0*m + 5*m + f*w + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117954 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 11:12 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026487 rounded to 5 decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 7. Let f be b(-10). Suppose f = -o + 8. Factor -2*x**5 - 12*x - x**3 + 3*x**4 - 4*x**o + 7*x**5 - 4 - 11*x**2.\nAnswer: (x - 2)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9380995 + 19?\nAnswer: -9380976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*p + 122 - 1036, -360 = -2*p + 4*v. What is the lowest common multiple of p and 22?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*r + 403*r = -11484. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30848 and -0.3?\nAnswer: 9254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32991240 by 3.\nAnswer: -10997080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15535 and 4355.\nAnswer: 1040845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -110, -201, -292, -383?\n\"Answer: -91*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -18. Let j(g) = -g + 8. Determine j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373501 = 5*f + r, 2*r + 2*r + 298788 = -4*f. Let n = 10284 - f. Suppose 5*v - 4*a - a = 85025, 5*v = -3*a + n. Round v to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17160654 and 2.\nAnswer: 17160654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1008 + 505 - 4*l + 507 + 2*l. Let a(u) = u**3 + u**2 - 1. Let n be a(0). Let x be 5\/(-3)*n*3. Give d(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89\/279 + -3\/31. Put 1.8, t, -15 in increasing order.\nAnswer: -15, t, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxgg when four letters picked without replacement from xgxgxgxfxhxxyxmxxm?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from vtaapavvtavtvvt?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -12 + 12 - 5 - 21) + -24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -66. Suppose -l*w = 5*j - 1450, 0*j - 4*j = -2*w - 1166. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1*n)**(2\/63)\/((n**6*n)\/n**(4\/3)))**(13\/2) assuming n is positive.\nAnswer: n**(-507\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -2 + -5 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1728 and 35384256.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-774 + 245 - 506)*(4*p + p + 7*p).\nAnswer: -12420*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 976.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4 - 16*z**3\/3 - 10*z**2 - 8*z - 988. Find k such that b(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 184320?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 2. Let n be b(-2). Let g(o) = 4*o**2 + 10*o - 9. Let a be g(-4). Solve n*w + a = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 11 + (-57 - -25).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + 2)*(8 - 1 + 11)*(2*r + 3*r - r).\nAnswer: 504*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 1753741101 = 1586972504 + 695966395. Round k to the nearest one million.\nAnswer: -449000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40275.69 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h - 18. Determine p(11).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l - 66. Let a(o) = 3*o + 13. Give -11*a(t) - 2*p(t).\nAnswer: -3*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 4.09.\nAnswer: 2.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 9. What is the remainder when l(7) is divided by (3\/(-2)*(-4)\/3)\/((-217)\/(-3472))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -204*b**3 + 2*b**2 - 2*b - 2. List the prime factors of v(-1).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -31 + 13 + -16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10 - 5*b + 8 - 18. Let y be f(-1). Suppose j - 10 = y. Calculate the highest common divisor of j and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 2\/47143 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*h + 20021 + 22778 = 916*h + 15667 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 130647 - 130767 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20984)\/(-2623) + (0 - (7 + -1)). Solve -b*h - 2*l - 4 = -3*l, 8 = 4*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 27 - 13*p**3 + 18*p**2 - 647616*p + 647616*p in the form i*p**3 + u + c*p**2 + d*p and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3\/2 + 520*c**2 + 48250*c + 1175000 = 0.\nAnswer: -940, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13723 - 13745. What is the closest to 0 in 0, j, 0.1, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/2212 or 1?\nAnswer: 47\/2212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/120 + 2*v**5\/15 + v**4\/24 + v**3 - 2*v**2. Is 6 a factor of r(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 4, 2, 381, 23.\nAnswer: 1, 2, 4, 9, 23, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/2 - -38. Let k be (-35880)\/(-4144) - (2 - 1). Let l = k + 10\/37. What is the common denominator of u and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 35 + 142 - 49 - 10*c.\nAnswer: -10*c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 770?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/385 and 149\/2640?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 23 = 82. Let n(d) = -8*d**2 - d + 7. Let t(g) = -5*g**2 - g + 5. Give h*t(k) + 5*n(k).\nAnswer: -5*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.7 in 5, 7\/3, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4000902303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 1 - 323*o**3 - 2*o**4 + 346*o**3 to the form c*o + z*o**4 + q*o**3 + n*o**2 + w and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d - 4, -30 = -5*y - 5*d. Suppose 4*s = -4*w + 3 + y, -12 = 4*s. Sort w, -1, 0.\nAnswer: -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/81)\/((-100)\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8113094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(-4)\/3. Suppose v*o = o + 7. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -927454 (base 10) to base 12\nAnswer: -38887a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -863024, -863062, -863126, -863216, -863332, -863474, -863642?\n\"Answer: -13*l**2 + l - 863012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 41. Let g be n(0). Which is smaller: g or -40?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-25))\/(506\/220). Which is the third biggest value? (a) -1\/2 (b) f (c) -1\/7 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440873.\nAnswer: 41, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*v + 58*v - 3801 = -1149 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4738)\/92 - -59) + 3\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*c**3*s**3 - 8*c**3*s - 2*c**2*s**3 + 13*s wrt s.\nAnswer: 540*c**3*s - 12*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23427*t = -23416*t + 3*u - 62, 0 = -2*t - 5*u + 38 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**7\/315 - s**5\/45 + s**3\/9 - s**2. Suppose f(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 11*o - 1. Calculate the remainder when 86 is divided by c(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (63\/(-380772))\/((-40)\/100 + 46\/(-160)). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2926 is divided by 1460.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 9) to base 11\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/304*(-1)\/6\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 times 10?\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/90 and -119\/182418?\nAnswer: 2736270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 3. Suppose -1 = -r - 0. Let x(h) = h**2 + 1. Let m(t) = r*y(t) + 3*x(t). Find the second derivative of m(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*m = 4 - 30, 0 = 5*h - 2*m - 86. Let x be 1\/(h\/240)*-150000. What is x rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.27 - 0.63. Let q = k - -4. Which is the third biggest value? (a) -2 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*b + 7922, 20*b = 5*r + 24*b - 13206. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + 2*sqrt(143) - sqrt(143))*4)\/(sqrt(1100)*-2 - sqrt(1100)))**2.\nAnswer: 208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 31813729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3514)\/(-11) + 3258\/5973. Solve k = -i + 324 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-1610)\/(-126) - 13).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1044 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 702 + -700. Let j(m) be the second derivative of 0*m**3 + 4*m**p + 1\/20*m**5 + 7*m + 0*m**4 + 0. Differentiate j(a) with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4287 is divided by 1571.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 9:55 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*l = 213*l - 3*s + 6, -5*s = -l - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1760 - 1762. Is -498 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 740 = 3*t + 55, -2*f - 347 = -3*t. Put -5, 4, f, 2 in decreasing order.\nAnswer: 4, 2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 849915 divided by -849915.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-15)\/(-25) - 4\/(-10)). Let s(b) = -10*b**3. Determine s(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 u when four letters picked without replacement from llullllulull.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(700))*2 + sqrt(700)*-2*-2)**2.\nAnswer: -240*sqrt(7) + 25204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*b + 130*b + 2*b as w + s*b and give s.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -972 - -964. Is 50 a factor of 200*(u + 136\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/44 - 5\/(-22)*8. Solve u*g - 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 33 - 17, 4*t - 5*g = 40. Solve -w = -2*w + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 10*v. Let n be i(-8). Suppose -4 = a - n. Let d = a + 24. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/8 + 3*c**2\/4 - 15*c\/8 + 1 = 0. What is c?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*p - 71, -5*p + 94 = 5*c + 4. Let a be 11*19 - (0 - 0). Calculate the highest common divisor of a and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/13 - 276*v**2\/13 - 846*v\/13 = 0.\nAnswer: -3, 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/45 and -16\/633.\nAnswer: 9495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285 - 280. Suppose u*y = 3*s - 46, 0 = s - 0*s + 2*y - 30. What is the greatest common factor of s and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -94. Suppose -11*p = -4*p - n. Suppose 0 = 2*f - 6*f. Put -5, p, f in decreasing order.\nAnswer: p, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.5, 0.4, 4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1)\/v*v)**10\/((v**4*v*v)\/v**6)*(v**(-6\/13)\/v*v)\/v*v**(4\/7)*v**(-2\/15)*(v*v**(-1\/7)*v)\/v assuming v is positive.\nAnswer: v**(-227\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 92 = 106 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-4)\/(-4))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*s**3 + 817*b**2 + 391*b*s + 2*s**4 wrt s?\nAnswer: 3*b**2*s**2 + 391*b + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 5, -0.6, 1.47, 12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 5*m**2 + 3*m - 3. Let b(p) = -p**3 + 9*p**2 - 9*p + 5. Let o be b(8). Is 6 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 54. Let c(r) = -o*r + 1 - r**2 + 3*r + 14*r. Calculate c(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 3 + 0*b + 0*b + (-2*b + b + 2*b)*(-1 + 2 - 2).\nAnswer: -3*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2167 = 2*f - w - 2164, 2*w + 14 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -170547291 plus 0.03?\nAnswer: -170547290.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1716620, -3432902, -5149196, -6865508, -8581844, -10298210?\nAnswer: -12014612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (0 - (-1 - -5)). Suppose 2*y - 43 = -q. Calculate the least common multiple of y and (-9)\/(-6)*4\/(-10)*530\/(-159).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122a (base 12) in base 11?\nAnswer: 15a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -16.841. Let v = 0.241 - o. Which is the second biggest value? (a) 11 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420698.6818 less than -12?\nAnswer: 1420686.6818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 2*w + 0*w)*(-4*w + w + 102 + w) as d*w + q + h*w**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2080*g - 1042*g - 974*g + 145*g**2 wrt g.\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0*j)\/j*j)\/j**(-7)*j**(-20\/9)\/(j*j\/(j\/((j\/(j**(-9\/5)\/j*j*j*j))\/j))*j))**(-21) assuming j is positive.\nAnswer: j**(-1253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 291 in 0.7, -4, 5, 2, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -74*q**2 + 49*q**2 - q**2. Let r(y) = 4*y. Calculate w(r(i)).\nAnswer: -416*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3) - 2\/(-3). Suppose 5*b - 3*f - 31 = 0, o*b + 0*b + 2*f - 6 = 0. Factor -8 + q**b + 3*q**3 + 8 + q**2 + 3*q**4.\nAnswer: q**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1421*l**2 + 17426*l**2 + 27405*l**2.\nAnswer: 43410*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-535)\/((-91485)\/4788) + (-8 - -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-9)*432\/(-168)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36038696 divided by 30776\nAnswer: -1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458717497 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 11\/7. Let s = 5.7 + -5.6. Let h = -1.1 + s. Which is the second smallest value? (a) 0.1 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162943 and 4.82.\nAnswer: -785385.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c - 2*c + 2*c + 1 - 1 + c + c - 3*c + (-3 - 2*c + 3)*(3 + 0 - 4) + 2*c + c + 0*c)*(5 + 0 - 3)*(-1 - 3 + 2) as m*c + x and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 20*o**2 - 18*o - 3. Let h be s(18). Suppose -14*z + 881 = h. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 + 10. Let y be q(0). Suppose 3*n = n + y. Suppose 5*f = -3*g + 27 + n, -3*g + 2*f + 4 = 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5610670 is divided by 510052?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.62958cm in nanometers?\nAnswer: 736295800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*j - 16 = 0, 3 = -7*o + 2*o + 2*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 408?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 111110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from necef?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2\/2 + 4*w + 2. Let t be g(0). Solve -2*i - 2*f = 0, 4*f + 4 = t*i - 6*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262 + 262 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.525334 + 3.76309. Let z = r + -9.138616. Let h = z + 9.9. Round h to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436.3520459 - -0.22?\nAnswer: -436.1320459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 28. Let l be w(9). Solve 3 = -z + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -2389*o**4\/12 + 4*o**3\/3 + 252*o**2 - 593*o - 8. Find the second derivative of m(r) wrt r.\nAnswer: -4778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88981 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: Solve -556*b + 12 - 57 = -551*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**4\/12 + 7*b**3\/6 - 9*b**2 + 10*b. Let q be u(-9). Let i be (-195)\/(-27) + 2\/(-9). Solve q = 2*g + i - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(128) + 1 - (sqrt(16)*-2*3)\/sqrt(8)))**2.\nAnswer: 84*sqrt(2) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k + 44*k = 78*k + 220. Calculate the remainder when 82 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32833873 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6179376 divided by 386211\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 - 102. Let y(q) = -q**3 - q**2 - q + 4. What are the prime factors of y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 3:24 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 64 = -9*o. Let a = o - 8. Suppose 5 + 0 = b, -m = 4*b - a. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(128))**2 - sqrt(2)) + 1)*-3.\nAnswer: -387 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36528581.\nAnswer: 41, 890941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3)*u)\/((u*u*u*u**(-2\/3))\/u)*((u\/((u\/(u*u\/u**(1\/4)*u)*u)\/u))\/u)**(-22) assuming u is positive.\nAnswer: u**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583897 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3935.3556 + -3938. Round d to 1 decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.1, 0.1, -2\/21, -47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**6\/360 + 98*h**3\/3 + h**2\/2 - 140. Let w(a) be the third derivative of v(a). Let c(b) = -3*b**2 - 2*b. Calculate w(c(o)).\nAnswer: 9*o**4 + 12*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:13 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*i = 22, -63*w + 3*i = -62*w - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 32*m - 60. Suppose -3*p - 5*y + 72 = -6*p, 0 = 5*p + 3*y + 188. Give g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.039 + 0.039. Which is the nearest to 0.1? (a) i (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.31 (b) 3\/7 (c) -0.4 (d) -4 (e) -237156 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*d = 0, 3*d - 1 = -2*w - 8. Suppose 3*y - 18 = -5*o + 14, -w*y = o - 20. Solve -7*u = -2*u - y*p - 11, p - 1 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let u(d) be the third derivative of d**5\/10 + 31*d**2. Calculate u(j(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 5:48 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -29601.4714 to the nearest 10.\nAnswer: -29600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -229486 + 343339. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + 0.6. Let x = -1.5 + h. Suppose 7*v - 15 = 20. What is the nearest to -2\/3 in v, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1152585, 2305161, 3457731, 4610295, 5762853?\nAnswer: 6915405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqjqasaaaj. Give prob of picking 1 s and 2 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571895580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 4*n - 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -2 - (419 - 394)) + -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -t, 26 = 4*l - 6*l - 4*t - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 2*b - 1. Let f be l(-1). Let d(o) = -4*o**3 + 2*o**2 + o. Let n be d(-1). Sort -3, n, f.\nAnswer: -3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65240730 to the nearest ten thousand.\nAnswer: 65240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -20. Calculate the remainder when v is divided by (-6)\/(-54) + 178\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -23*c + 5. Let s(y) = -34*y + 8. Suppose 31*x = -24*x + 440. Calculate x*p(i) - 5*s(i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t)\/(t*t\/(t*t\/t**(8\/5)))*(t**1*t*t)**(-1\/46) assuming t is positive.\nAnswer: t**(-1533\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiipmmhipipmihmsiu. Give prob of picking 1 h, 2 i, and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 1 = -20. Which is smaller: -3\/2 or i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2991*i + 44874. Determine l(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*-6 - -1. Let i(q) = 4*q**2 - 2*q - 1. Let x be i(u). Find the second derivative of x + 2*f - 11 - 8 + 3*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 36526?\nAnswer: 36544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000654313 rounded to six decimal places?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0) + 10\/(-6). What is the nearest to 1 in -1.5, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -5 - 3) + (-128 - -115)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*u + 12 + 34*u + 24*u + 22 + 14 in the form z*u + g and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5625 - -8258. What are the prime factors of r?\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, i: 7, e: 5}. What is prob of sequence uee?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 10. Calculate b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose -3*y = -k*o - 2*o + 5, -2*y - o = 15. Let z(g) = -4*g**3 + 2*g**2 - g. Let u be z(1). Sort u, 4, y.\nAnswer: y, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10247903 = -10247901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*h + 21 = 0, h - 1 = -4*c + 14. Suppose w = 0, -c*i + 2*w + 15 = -0. Let x be -1 - (1 - 0 - 1). Sort i, -2, x in increasing order.\nAnswer: -2, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14751951*y - 14751951*y - 3*y**2 - 25.\nAnswer: -3*y**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 12. Let w = j - -12. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-3*(-60)\/(-432).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/35)\/(16 + -13)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -193. Suppose 187 = 2*p + 5*u, -c + 4 = -p - 5*u. Calculate the remainder when p is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 26. Which is bigger: o or -14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 4:28 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61.291 or 2?\nAnswer: 61.291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = z + 4*z - 10, -x = -4*z + 10. Let n(c) = c**2 + c. Let l(g) = -20*g**2 + 12*g. Let j(u) = x*n(u) + l(u). Let a be j(2). Round a to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 106684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.1 in -9, 2, 4, 4\/35?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**3 + 11*q**2 - 17*q - 22. Determine x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -35*g**2 + 53*g - 3. Determine i(-7).\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/362135 and -16\/13301.\nAnswer: 102484205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:15 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 w, and 1 k when three letters picked without replacement from hkgiwoikh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -155596*b**2 - 13477.\nAnswer: -311192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -9\/2. Suppose -2*y - l = 1 - 4, 3*y + 4*l - 2 = 0. Suppose y*a = u + 4, 3*u - 1 + 9 = 2*a. What is the third smallest value in 1\/3, x, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 4, -5, -3, -11.\nAnswer: -102, -11, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10611.6 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 3*z**2 - 5*z. Let d be a(-2). Find the first derivative of d - 13 + 26*c - 6 - 6 wrt c.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191887316 - -105\nAnswer: 191887421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -21, -108?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 634 by 2.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -d4218?\nAnswer: d4218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-6)*72\/3. Suppose -4*v + i = -0*v. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1542482 - 512316 = 34*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-30)*(-410)\/(-656).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4 + 4 + y**2. Suppose -3*h = 4 - 13. Let q(r) = -4*r + 3. Let t(f) = -3*f + 2. Let w(c) = h*t(c) - 2*q(c). Give z(w(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160699 and 3443?\nAnswer: 50298787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 7. Let s be u(5). Suppose 2*r = -5*o - 17, o + r + 16 = -s*o. Is (3 + -4)*o + -3 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:59 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -10*(299\/2)\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 180*f**2 - 48*f + 48. Let i(w) = 19*w**2 - 5*w + 5. Let m be (30\/18)\/(-5) + (-16)\/(-3). Calculate m*c(s) - 48*i(s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20*a - 1518. Calculate z(-76).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2713846 by -6.\nAnswer: -1356923\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/6070 and -23\/108890?\nAnswer: 66096230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b315b - -8a?\nAnswer: -6b30a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354, -6, 3792 in descending order.\nAnswer: 3792, -6, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = -14439 + 61731. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -35686*u + 33830342. Determine j(948).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 37 = -3. Find the third derivative of -14*b**4 + 11*b**4 - 37*b**4 - q*b**2 wrt b.\nAnswer: -960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3 - -1)*-15. Let c(g) = 4*g**2 + 8*g - 10. Let d be c(t). Calculate the highest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13045*-1204.\nAnswer: 15706180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptttttttttttt. Give prob of picking 1 p and 1 t.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 + 2*w**2 - w. Suppose 0 = -505*m + 504*m + 2. Give t(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 7*z + 63 = 0. Suppose -3*o = 5*p - 7, -3*p - z + 4 = 0. Solve -4*s - l + 20 = 0, -4*s - o*l + 28 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 2631?\nAnswer: 2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -967 + 5803\/6. Let m(q) be the second derivative of 11\/20*q**5 + 1\/6*q**7 + 0*q**2 + 0*q**3 + k*q**4 + 0 + 23*q + 8\/15*q**6. Factor m(a).\nAnswer: a**2*(a + 1)**2*(7*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-11)\/(-4) + 12\/(-4) - 2666\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 9:06 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 42. Suppose u - 4*k - 2 = -1, -4*k - d = -4*u. Differentiate 2*h**2 + 5 - 11 + u*h**2 with respect to h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-60) - 452\/(-565).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -6 - (-55 + 47).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2, 20*q + k + 15808 = 23*q. List the prime factors of q.\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2401, 5, -0.3, 2 in ascending order.\nAnswer: -0.3, 0.3, 2, 5, 2401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6196742 millilitres?\nAnswer: 0.0006196742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(5) - (-1 + sqrt(5))*3.\nAnswer: -5*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d**2. Let x(r) = 8*r - 790. Let a be x(99). Let g(k) be the third derivative of 0*k**4 + 0*k**3 + 0 - 1\/60*k**5 + 3*k**a + 0*k. Give s(g(h)).\nAnswer: -11*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 2*x**2 - 3*x. Let i be b(2). What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1 - (-18)\/(-16)). Let s = -13 + 53\/4. Find f such that 1\/4*f**2 + s*f - 1\/4*f**3 - k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.522738 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Suppose -27 = -3*s - r*h + 3, 3*h + 16 = 5*s. Suppose -i - 2*z = -147, -i - s*z + 439 = 2*i. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.573167 centuries in years?\nAnswer: 357.3167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**2 - 1. Let q(d) = -d - 18. Suppose 4*i - 65 = 7. Let y(o) = 2. Let n(r) = i*y(r) + 2*q(r). Determine n(z(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2981919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + h**2 - h - 6. Let y be v(0). Let j(q) = 1. Let c be 6\/2 - (-25)\/(-25). Let x(n) = -5 + 3*n - 51*n**2 + 52*n**c - n. Calculate y*j(g) - x(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3\/4, -0.4 in descending order.\nAnswer: 3\/4, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338764408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1)\/i))**34\/((i*(i*i**(-6))\/i)\/(i*i*(i*i**4\/i)\/i))*(i\/i**(-1\/2))**(-1\/5)*i*i**(1\/8)*i\/(i*i**(2\/15)*i*i*i) assuming i is positive.\nAnswer: i**(13163\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2448) + 2))**2*-5 - (-2 + (sqrt(153) - (sqrt(153)*-2 + sqrt(153)) - sqrt(153)*4)).\nAnswer: -49038 - 954*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 7)*(-z - z + 0*z) + 3*z + 0*z + 2*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 10793*l**3 - 2 - l - 10791*l**3 + 296*l**2 + 5*l in the form b + k*l**2 + u*l**3 + o*l and give k.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*i - 234 = -151*i. Solve -11 + i = -4*g, -g + 18 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*z + 6, 2*w - 34*z - 4 = -30*z. Solve w*c - 6 - 14 = 5*p, -4*p = -2*c + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6092, 5932, 5772, 5612?\n\"Answer: -160*a + 6252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (56\/(-6))\/((-5)\/(-45)*-3). Find the third derivative of -t + 13 + 32*h**2 - 12*h**3 + 15 wrt h.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115374*i - 197243*i - 67610*i.\nAnswer: -380227*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -3020 (d) -12\/29 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t. Let i be r(-1). Let z(k) = -k**3 + 2*k**2 - 1. Let h be z(2). Let v be ((-5)\/(-10))\/(h\/i). Sort v, 0, 2.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3225 = a, 5*a - 4348 = -2*y + 2108. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61905848500 rounded to the nearest one million?\nAnswer: -61906000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 10\/4)*6. Suppose -3*w - 4*f = -5*w + 28, w = -a*f + 14. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/4 - 5*v**4\/4 + 20*v**3 - 70*v**2 + 1118*v. Suppose m(n) = 0. Calculate n.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210 (base 10) to base 6.\nAnswer: -14122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 1 + 1 + (4*t - t - 2*t)*(0 + 0 + 1) + 3 - 3 + t + 11*t + 13 - 13 + (-1 - 2 + 2)*(t - 3*t + 0*t) as h + b*t and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.1 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (154\/(-126) + (-4)\/(-18))*-3. Let k(r) be the third derivative of r**6\/120 - r**5\/20 + r**3\/6 + 2*r**2. Calculate k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a**2 + 0*a - 7 + 3*a**2 + 14 + 3*a. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2106749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**4 - 33*f**2 + 2*f*x - 1075*x wrt f?\nAnswer: -12*f**3 - 66*f + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129884 is divided by 307?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 0.2, -200, -2\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 10*r**2 - r + 1. Let d be m(-5). Suppose 3*n + d + 20 = x, 3*x = -3*n + 78. Solve -2*j + 4*j + 4*v - x = 0, 5*j - 45 = -5*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1729, 0.2, 3\/5 in ascending order.\nAnswer: -1729, 0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 9*l - 9. Let x(f) = f**2 + 8*f - 8. Let m(o) = 5*x(o) - 4*z(o). Suppose 4*y = 2*v + 32, 4*v + y + 4*y = -64. Let p = v + 10. Give m(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.19570961 to one decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 16 = 6*s - 7*s, -5*j = -6*s + 47 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 9.5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394 - 373. Let p be 2\/(-3)*(-3)\/2. Let k be m\/7 + (3 - p). Solve 6*h - h = z - 24, -h = k*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.48 take away 0.05387?\nAnswer: -11.53387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 31*h**2 - 2*h. Let f(l) = -435*l**2 + 29*l. Calculate -4*f(b) - 58*v(b).\nAnswer: -58*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86250\/8357 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110891 is divided by 6520.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*x**2 + 195*x = 0 for x.\nAnswer: 0, 39\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m - 5*m. Let y be 0\/(m*(-3)\/(-3)). Suppose 5*s + y*j - j = 82, 31 = 2*s - j. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 21964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 616590 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 5*u + 4. Let b be j(6). What is the nearest to 3 in b, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 0, -8 = -0*c + 3*c - r. Calculate the common denominator of (-197)\/18 + c\/9 and (-146)\/16 + (-2)\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1263 - 362*p**4 - 333680*p + 333680*p with respect to p.\nAnswer: -1448*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759 + k + 375 + 384.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -22*y**3 - 2*y**2 + 4*y - 6. Determine c(2).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 - 65325646?\nAnswer: -65326036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 139681 divided by 4\nAnswer: 139681\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -3, 37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 906 - 899. Calculate the remainder when 425 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 + 12*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1564 divided by 391\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389871.\nAnswer: 3, 43319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, r: 1, k: 5, c: 1}. What is prob of sequence rcpp?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5296*o**2 - 5296*o**2 + o**3 + 2*o - 1 as c*o**2 + a*o + n + p*o**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -11 + -2 + 5 + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 r, and 1 p when four letters picked without replacement from {r: 7, p: 2, b: 3, c: 3}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b3 (base 13) in base 2?\nAnswer: 1111110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = g + 2*z, 8*g - 7*g + z = 6. Suppose -5*u + 8 = -3*u. Suppose 0 = -u*v + g*v + 38. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 101911 = 5*f + 101940, -5*k + 2*f = -20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 2. Let u(v) = v - 3. Determine 4*o(n) + 6*u(n).\nAnswer: 2*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -13\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244047 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 44 = -4*k. Let p = k - 7. Let m = 6 + p. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(-1 - 2*t + 1)*(-17*t**2 - 4*t**2 + 8*t**2).\nAnswer: 52*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 14 = 2*h + 25, h - 4*i = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*o - 82, -3*y + 19 = 4*o - 61. Let s = y - -15. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + ((0 + sqrt(1573))**2 + sqrt(1573) + -3)*5 + 0 + 2 + 1*sqrt(1573)*1).\nAnswer: 264*sqrt(13) + 31408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 0. Let h be (-1 + 1 + -1)*j. Suppose 0*n + 10 = 5*n. Solve 0 = h*c + g - 15, -c = -n*c - 4*g + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 4. Let w be k(-7). Solve -c = -w + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*n - 66*n + 116*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -40)\/(6\/63*-6). Let u = g - 61. What is the closest to 2\/7 in -1\/4, u, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19851, -32018, -44185, -56352, -68519?\n\"Answer: -12167*a - 7684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -786.7 take away -5211?\nAnswer: 4424.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*-1*(9 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, -5, -2, -0.073.\nAnswer: -5, -2, -0.073, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**3 - 17*q - 7*q**2 + q**2 + 6*q**2 wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -67*w**3 + 526*w**2 + 11*w - 11. Let z(r) = -13*r**3 + 105*r**2 + 2*r - 2. Calculate -2*v(j) + 11*z(j).\nAnswer: -9*j**3 + 103*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 5, r: 2, i: 2, w: 1, m: 2}. What is prob of sequence xmm?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13*p = 22. Let c(f) be the first derivative of p + 1\/12*f**4 - 1\/9*f**3 + 0*f - 1\/3*f**2. Suppose c(i) = 0. Calculate i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 16. Let h be w\/32*-50*28. What is the greatest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27706129 divided by 27706129?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 837 - 3*q**2 - 3*q + 2*q**2 - 838. Let x = -3 - 1. Let j be f(x). Let c(y) = -y**3 - 6*y**2 - 4*y + 5. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/1499*(-72958)\/80. Let t = -1\/2998 - v. Find the common denominator of 4\/16*618\/15 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 389\/100 + 9\/25. Calculate the common denominator of r and -137\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18 = -6. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**3 + 4*n + 4. Let a be (-4)\/(-24)*-3*(-26 - -18). Let b(q) = q**3 + q + 1. What is a*b(k) - w(k)?\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -3 (c) 2\/19 (d) -5.542 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -5*n**4\/18 - 2*n**3\/9 - 6*n. Solve p(b) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*h**3 - 10*h**4 - 26*h**3 + (2*h + h**4 + 2*h - 2*h)*(-5 + 3 + 3).\nAnswer: -9*h**4 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*b - 7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - 4*g**4 - 5*g**3 + 3*g**3 + g**2 + g**3 in the form i*g + b*g**3 + k*g**4 + r + u*g**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 + 62 - 95)*(11*d - 11*d + 9*d**4) in the form g*d**4 + w*d**3 + x*d**2 + c + v*d and give g.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/9 + 20\/6. Let s = 25 - w. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/369495 and 89\/2142.\nAnswer: 738990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:59 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5922\/48 - ((-429)\/104)\/(-11). Solve -12*r - u = -15 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -2. Suppose 0 = -5*c, -3*b = -4*b + 5*c + 64. What is the remainder when b is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/9 + 88*x\/9 + 86\/9 = 0.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*p**5 + 4*p**4 - 4*p + 257 wrt p?\nAnswer: 1220*p**3 + 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - -89 - (11 - -14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -6, 22, 74, 156, 274, 434?\n\"Answer: i**3 + 3*i**2 - 6*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -77, -205, -385, -617?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2287 - -2285. Let k(c) = -c**3 + c**2 + c. Let h(r) = -7*r**3 + 6*r**2 + 2*r - 2. Give u*k(p) + h(p).\nAnswer: -5*p**3 + 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 4. Let c be m(-3). Let q = c + -20. Is 2 a factor of (-6 - q) + 2\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -i, 1 + 8 = 3*i. Let d = q - -5. What is the highest common divisor of d and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 3661 = 2*a - 7*t, a - 5*t = 1793. What are the prime factors of a?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 3. Let h(g) = -g**2 - 3. Let d be h(-3). Calculate the remainder when v(d) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1422, 1423, 1426, 1431, 1438?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 183*r - 2208 = -24*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -11a0309?\nAnswer: 11a0317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g + 97. Let y be n(10). Let r be -4*(-1 - y\/(-30)). Which is the nearest to -3? (a) r (b) 3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 - 100.43. Let i = -1.57 + f. Let m be -4 - (39\/9)\/(-1). What is the nearest to m in 0.1, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 199845 or 199846?\nAnswer: 199846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 f, and 1 g when four letters picked without replacement from {y: 1, b: 1, l: 3, v: 1, f: 4, g: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 18*a - 141. Let s be n(-24). Solve 0 = s*j + 4*g + 65 - 83, 2*j + 5*g = 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155*r**2 + 10961*r**4 - 12*r - 1 + 300*r**4 + 155*r**2 - 286*r**2 - 10*r wrt r?\nAnswer: 270264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 129.8363 centuries?\nAnswer: 155803.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.006413 - 8.998987. Let q = 9.9 - 0.9. Let y = q + t. What is y rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, -5 in descending order.\nAnswer: 10, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48512?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 101 + 16\/(-2) + (17 - 12). Let c = -20 + n. Calculate the greatest common divisor of 234 and c.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*g + 132*g = -4*m + 8, 0 = -4*g - 5*m + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/41735 and -41\/417350.\nAnswer: 417350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175087 and 2894.\nAnswer: 350174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131356760 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, 1, 6, -1213, 5 in descending order.\nAnswer: 15, 6, 5, 1, 0, -1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (72\/27)\/(6\/9). Solve -5*y + 15 = 0, g + y = -l*y + 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15. Let u(o) = o**2 - o**2 + 2*o**2 - o**p - 2*o - 3*o**2. Give u(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50846580*k - 47242477 wrt k?\nAnswer: 50846580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + 51*i + 450. Determine j(-11).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(1900\/(-9975))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 4:03 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 - -6 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose -2*n + 42 + j = 0. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002552 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 15*b**2 - 32*b + 23. Is i(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.68 in 22, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23364\/5310*(-5)\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from rqrtrttrjjq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/(-6) - -3)\/(-6). Which is smaller: l or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480952241.4+-67.19\nAnswer: 480952174.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(-1804)*12*22\/(-6))\/((-30)\/(-21))\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1525*s = 1053*s + 11800 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let r(t) = -17*t + 2. Determine r(j(a)).\nAnswer: -17*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 53*i - 52. Let p(h) = 115*h - 105. Let x(s) = 13*m(s) - 6*p(s). Determine x(-25).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*i, 0 = -2*s - 3*i - 0*i + 27114. Suppose -4*t = -8*t - s. What is t rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 14. Suppose 3*k - w - 8 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*q - 28. Put -9, q, -3 in increasing order.\nAnswer: -9, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5434 + -20869\/4. Let k = a - 199. Find the common denominator of k and -13\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**(2\/5))\/y))**(5\/6))**(-29)\/(y**(1\/5)*y**(-2\/5))**(-1\/16) assuming y is positive.\nAnswer: y**(-8123\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -6*c - 46. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42104591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - -4) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13255 = 5*a, -2*a - 10*u + 5299 = -5*u. Suppose 98*c = 96*c + a. List the prime factors of c.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 3, -0.042, 4, 0.051, 3\/11, -3?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18) + (-144)\/(-81)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2311601, 4623141, 6934667, 9246173, 11557653, 13869101, 16180511?\nAnswer: 18491877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 8667377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -136, -125, -116, -109, -104?\n\"Answer: -k**2 + 14*k - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.671l in millilitres?\nAnswer: 962671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145962 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 743 - g - 743. Let k(o) = 3*o**2 + 6*o + 3. Give 6*j(h) + k(h).\nAnswer: 3*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/129 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 36 + 36 - 4*r - r**4 + 2*r**2 in the form w*r**2 + s + t*r**4 + q*r**3 + g*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epaabaap. Give prob of sequence ebp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-15)\/(-5)) - (7 + -3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*y - 28962 = 162*y - 7937 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3398 + -3402 - (-101 + 2).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 1755.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 8 + (-2 - 1 + 1)*(2 + 2 - 2))*(49*d**5 - 17*d**5 - d**5).\nAnswer: 62*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 9*r - 60. Suppose 2*d - r = -4. Suppose n - 5*n - d*y + 736 = 0, 5*n - 928 = 3*y. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + 3) - (-20 + 7) - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/18 - 244\/(-24). Suppose 55 = 5*z + w. Solve 29 = 2*a + 5*n + z, -n = 3*a - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143 - 141) + -3 + 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 63.0000023. What is i rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6680, -13803, -20926, -28049, -35172?\nAnswer: -42295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -1 - 9. Let i(n) = -4*n**3 + 5*n**2 - n - 5. Let r be i(1). Sort m, -3, r.\nAnswer: r, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7876 - 7875.99985438. Round a to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235963324.\nAnswer: 2, 47, 6574273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 32171566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -69, -139, -217, -309, -421, -559?\n\"Answer: -q**3 + 2*q**2 - 69*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 - 8*w - 8. Let s(q) = q. Determine o(c) - 12*s(c).\nAnswer: 4*c**2 - 20*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 16. Let v be d(-6). Let c = -21 - 2. Let j = v - c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l - 4666 = -16879. Calculate the greatest common divisor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v = 32*v + 40. Suppose v*p - 2*z - 50 = 0, z + 28 = -4*p + 81. Suppose 15*r - 261 = p*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpppjjp. Give prob of picking 3 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/6 + r. Let m(n) = 42*n + 70. Let g(b) = -7*b - 12. Let i(h) = 35*g(h) + 6*m(h). Give c(i(v)).\nAnswer: 98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 723 and 16147?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:16 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(4\/9)*u)\/(u**0\/u))\/(u\/(u*u**(-3)*u)*u*u*u**(-2\/17)))\/(((u*u**7)\/u**(-6\/5))\/((u*u*u**(-2\/17)*u*u*u*u)\/u*u*u**(-2\/17))) assuming u is positive.\nAnswer: u**(-3728\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*p**3 + 14*p**3 - 22*p**2 + 44*p**2 wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-217)\/(-245) + (-21)\/(-140)*-4. Which is the fourth smallest value? (a) 4 (b) w (c) -4\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 20*q**2 + 19*q - 136. Let i be c(7). Let t = 1013 - i. Calculate the highest common factor of 234 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -3) + 2 + 0. Let u be (-56 + 10)*(d\/3)\/(-4). Solve 11*x + 15 = 6*x, 2*c + 5*x = -u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.154025 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + b**2 + 415*b**3 - 239*b**3 + 107*b**3.\nAnswer: 283*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68338668 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/5963412 and 163\/1277874.\nAnswer: 17890236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124803 - 78.\nAnswer: -124881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16*3 - (4 + (-70)\/10). Let v = -54 - k. Let a be (4 - (-15)\/(-6))\/(v\/(-12)). Solve 5 = -m + c - 0, a*m = 5*c - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*s + 31 = 10, -5 = 5*l + 5*s. Solve 43*p - l = 125 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101546, -102877, -104210, -105545, -106882, -108221, -109562?\nAnswer: -110905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21986, 21996, 22006, 22016?\n\"Answer: 10*i + 21976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**2 - 1668*o + 3339*o - 1783*o = 0.\nAnswer: -112, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13247032 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*h**5 + 199*h**4 - 1523*h**2 - 2*h - 2.\nAnswer: 5040*h**2 + 4776*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70819468 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1464069328.97\nAnswer: 1464069333.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3\/2, -0.2153?\nAnswer: -0.2153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 17625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*n. Let a(b) = -9*b**3 + 2*b**2 - 2*b + 1. Let v be a(1). Let g = 187161 - 187159. What is the third biggest value in -2\/21, g, v, n?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**8\/6720 - m**7\/504 - m**6\/180 - m**5\/30 - m**4\/4 + m. Let c(r) be the third derivative of x(r). Give c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 726 and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 121, 291, 529?\n\"Answer: 34*q**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 + 301 = 4*v - 2*h, v - 2*v + 1 = -h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23781661.\nAnswer: 59, 403079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9956 divided by -38.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaarbaaabaarbaarab. Give prob of picking 2 b and 1 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 1831971?\nAnswer: -2015168.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 248 = -4*u, -4*r - 108 = -2*u - 9*r. Calculate the lowest common multiple of 2 and u.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from hhhfff.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylt when three letters picked without replacement from {h: 2, i: 3, t: 1, y: 1, l: 5}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -19*g**5\/12 - 7*g**2 + 15. Let o(u) be the second derivative of z(u). Let w be o(1). What is w rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8 - 4.01. Let f = 0.19 - z. Which is the second smallest value? (a) -0.5 (b) 0.04 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 53 - -db0?\nAnswer: e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*h = 536*h + 30960 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, -2, 2212, 0.4, -1\/7, -109?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1640 - 59252211.\nAnswer: -59253851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 7641?\nAnswer: 7651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9280 and 640?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.24, 4\/5, 715?\nAnswer: 715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72.26 - 73.66. Sort 0.6, -3, j, 0.4, -2 in increasing order.\nAnswer: -3, -2, j, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, p: 1, e: 2, u: 4}. Give prob of picking 2 u and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5\/4, 1, -0.03, 45, 1\/3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*y - 162*y + 6548 + 4702 for y.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151\/286 - 9\/26. Let y = 5 - 5.3. Let j = y - -0.5. What is the smallest value in 3, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*(-42)\/4. Suppose -16 = -v*j + 3*j. Suppose k = -4*q + 18, -j*q = q - k - 18. Let s(w) = -3*w + 4. What is s(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 30034422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*r = 71*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -303*q - 294*q + q**2 - 27 - 294*q + 906*q. Let h be t(5). What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 4*b**2 + 0*b**2)*(26 + 14 + 26)*(-2*b + 8*b - b).\nAnswer: -660*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:59 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-21))\/6*(2\/(-48))\/(78\/2457)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 4, -1\/22, -0.493, -2\/7?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2*37\/4. Let x(t) = -1 + 5 - a*t + 555*t. Let p be x(-3). What is p rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4)*(5 + -9). Let v be (-12)\/(-8) - h\/2. Is v less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((68\/16)\/(1\/(-2)))\/((-756)\/378)\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**7 + 3\/112*u**8 + 0*u**3 + 1\/4*u**5 + 0*u**6 + 0 + 0*u**4 - 2*u**2 + 0*u. Find the third derivative of z(v) wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8095099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10475.\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482, -413, -304, -155, 34, 263, 532?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.7 - 22.8. Let x = -20 + f. What is the smallest value in x, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 - 1 + 14*s**2 - 2*s**2)*(0*s + s - 2*s).\nAnswer: -6*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-24) + 7\/(-12). Put f, -3\/5, 1\/5 in ascending order.\nAnswer: f, -3\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3*z**3 - 3*k**3*z - 25*k*z**4 + 8*k*z - 3 wrt z.\nAnswer: -18*k**3*z - 300*k*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-20)\/(8 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291350404?\nAnswer: 2, 72837601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 13. Suppose 0 = -6*c + 5*c + 13. Suppose 0 = 15*z - c*z - 12. What is the remainder when u is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 1 + 142*l + 2 + 828*l to the form o + q*l and give q.\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*x. Suppose -2*n + 3 + 3 = x. Suppose -n*r + 109 = -29. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 7, l: 3}. What is prob of sequence rllr?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*x = 49*x - 1648 + 513 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20701740 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, 0, -8, -4 in ascending order.\nAnswer: -42, -8, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 1 (b) -2\/17 (c) -1\/7 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 10*n - 76. What are the prime factors of g(-18)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**4 + 7 - 7 + 6*k - k**4 - 6*k + (0 - 2 + 3)*(2*k**2 + k**4 - 2*k**2) + k**4 - 2*k**4 + 3*k**4 + k**4 + 0*k**4 + k**4)*(-2*k + 14*k + k).\nAnswer: 117*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.39 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 612cb (base 13) to base 2\nAnswer: 101010011111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185509, -370427, -555349, -740275?\nAnswer: -925205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*m + 31 = 0, 13*r - 8*r + 2*m - 50 = 0. Suppose -4*n + 7*t - r*t + 598 = 0, -2*t + 296 = 2*n. Calculate the greatest common factor of n and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 31*i + 429 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/21 - 0)\/((-37)\/(-74)). Let g(l) be the first derivative of -s*l + 2\/7*l**3 - 9 - 1\/7*l**4 + 0*l**2. Factor g(w).\nAnswer: -2*(w - 1)**2*(2*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 - -185. Suppose 10*o - 134 = -p. Solve 3*r - 3*g + 9 = -0*r, -o*r = -4*g + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1756 + 2*i**2 + 0*i**2 - 1756.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (8 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -22*a**2 + 7*a - 43. Let s(t) = -19*t**2 + 6*t - 45. Calculate -5*m(k) + 6*s(k).\nAnswer: -4*k**2 + k - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 11*z + 14. Let h be y(11). Let o = 12 - h. Suppose -2*d - 4 = 0, 2*d + 3*d + 10 = 4*u. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9433081124 rounded to 2 decimal places?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 8*k - 4. Let m be v(-8). Let h = -1 - m. What is x in 2\/11*x**2 - 2\/11*x**4 + 0 + 4\/11*x - 10\/11*x**h + 6\/11*x**5 = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6630280726?\nAnswer: 2, 3315140363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from zzttzzt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-3)*1\/(-2). Let j(g) = -g**3 - 4*g**2 - 4*g - 6. Let x be j(s). Let z = x - 35. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -20.6. What is the smallest value in -1, g, -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -111445.3 and 0.3.\nAnswer: -111445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 1, i: 1, p: 1}. Give prob of picking 1 p, 1 b, and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 73*r + 1. Let f(z) = 2380*z. Give f(g(u)).\nAnswer: 173740*u + 2380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 293, 434, 573?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/88305 and 31\/113535.\nAnswer: 794745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*i, 5*i = 2*w - 0*i. Let u be (w - (-1 - 0))*-82. Let f be u\/((-2)\/1) + -1. What is the greatest common factor of 16 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2, 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8328879)\/(-153) + (-62)\/527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/96)\/((-4)\/20*(-145)\/(-116)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 8. Suppose -4*r - 5*s + 81 = 17, u*r + 4*s = 71. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109 in 0.2, -0.4, -0.7094?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 0, b + 19 = 3*b + 5*u. Suppose -52 = b*g - 6*g. Calculate the remainder when 88 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {z: 4, b: 2, p: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 8, j - 5*j = -2*u - 20. Let i be ((-4)\/(-8))\/(u\/4). Let l(q) = -3*q. List the prime factors of l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235.27292 - 0.02708. What is f rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*z + 11406 = -11119 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/17)*r)\/(r*r*r**(1\/6)*r)*(r\/(r\/r**4))\/(r*r*r**(-9)))**23 assuming r is positive.\nAnswer: r**(20999\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*5*(-6)\/360.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 2 + 2722*b**2 - 2718*b**2)*(18*b - 29*b + 16*b) - b**2 - 8*b**3 - 3*b**2 + 5*b**2.\nAnswer: 12*b**3 + b**2 - 55*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2235764969*z**3 - 3 + 3 + 0 + 2235764986*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226082493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 735307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 85?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -163*g + 9450. Calculate q(58).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 = -0*m. Let a = m - -14. Suppose -2*v = 5*l - 0*v - 160, -2*l = 5*v - 43. What is the remainder when l is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 + 3*s**2)*(2*s + 0*s - s) + (-20*s + 851 - 851)*(-3*s**2 + 2*s**2 + 3*s**2).\nAnswer: -37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -1\/2*i**2 - 1\/3*i**3 - 9 - 1\/4*i**4 + 4*i. What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - -1*((-5 - 1) + 3). What is the derivative of -30 + 71 - 10 + q**y - 18 wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50581 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 66 = 2*k - 78, -2*k = -5*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7012, -14025, -21038, -28051, -35064?\nAnswer: -42077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083361.\nAnswer: 19, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166 + -141. Suppose -25 = -o*z + 25. Calculate the least common multiple of z and 30\/4*16\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 506, 498, 476, 434, 366, 266, 128?\n\"Answer: -z**3 - z**2 + 2*z + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1705, -1970, -2277, -2626, -3017, -3450, -3925?\nAnswer: -4442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, 41*j - 40*j + 3*u = 3169. What are the prime factors of j?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*p + 14. Let d(f) = 2*f**2 + f - 1. Let c be d(p). Let u(l) = -2*l - 15. Let y be u(-6). What is the second biggest value in y, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*l - 783, 5*d + 399 + 376 = -5*l. Let j be 4\/7 + l\/28. Let i = 87\/4 + -22. Which is the third smallest value? (a) -1\/7 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:23 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 15 (c) -62118675\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0 + 87\/5*u**5 - 174*u + u**3 + 0*u**2 + 1\/12*u**4. Find the third derivative of s(g) wrt g.\nAnswer: 2088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - ((-7 - -2) + 2) - (-356 + 336)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5, 0, -1.2, -1, 237 in increasing order.\nAnswer: -5, -1.2, -1, 0, 1\/4, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 9:57 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0784 and -0.2?\nAnswer: 0.01568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from hiiwhihiiihhiihhwv?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.13. Let y = p - -0.37. Which is the biggest value? (a) -2 (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/15, -2, -0.5, -73?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -67470 to the nearest one thousand.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 25 + (-130 - -93) + 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -847666 - 54?\nAnswer: -8476ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1388405374.5 + 0.5.\nAnswer: -1388405374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a**2 + 4*a - a**2)*(4 - 10*a - 4)*(-a - 2 + 2).\nAnswer: -10*a**4 + 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 19 = 2*j, 0 = -40*j + 44*j + 3*a + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 - 2*q**2 - 2*q. Let l be u(-1). Sort -2, l, 3 in descending order.\nAnswer: 3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363045*h + 2*h**4 - 1484*h**3 + 355837*h + 7212*h**2 + 2402 - 924*h**3.\nAnswer: 2*(h - 1201)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**3 - 6*r**4 + 30*r**5 - 16*r**5 + 6*r**2 + 0*r**4 + 2*r**3 - 4*r - 12*r**5.\nAnswer: 2*r*(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553 less than or equal to 225208\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 76 + 0*d - 237*d**2 - 8*d + 235*d**2. Determine o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 10*v**2 - 2*v + 9. Let s be o(-10). Suppose -2*k + 3*k - s = 2*h, -4*k = -h - 81. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 7*i**2 + 35*i + 125. Let m be q(35). What is m rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14612 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18671\/8 or 2334?\nAnswer: 18671\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 - 84908*p**3\/3 - 901171058*p**2\/3.\nAnswer: -2*p**2*(p + 21227)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2007 + -0.0007. Let h = -4 + 4.3. What is the closest to h in 3, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -276 - -274. Let r be a + (-70)\/(-25) - 96\/45. Sort 0, -2\/9, r, 2\/9 in ascending order.\nAnswer: r, -2\/9, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*24\/(-540)*580\/16?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22359274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0412 and 0.29?\nAnswer: 0.2488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(3\/12 + -1). Suppose 0 = c*k - 4*y + 28, -2*k + y = 5*y + 14. Let b be 102\/63 - (-2)\/k. Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0*f**4 - 32*f + 0*f**6 + 0 + 0*f**5 + 1\/3*f**3 + 8*f**2 + 23\/21*f**7. Find the second derivative of a(w) wrt w.\nAnswer: 920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let s = o + 4. Suppose 79 = 4*k - k + m, s*k - 4*m - 84 = 0. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 + 350*z**4 + 2940*z**3 - 123480*z**2.\nAnswer: 5*z**2*(z - 14)*(z + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8286 is divided by 552.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.696 - -0.496. Let h(z) = z**2 - 7*z + 5. Let l be h(7). What is the closest to -1 in 2, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 36 = 5*m, 0*m = 10*m - 4*m + c + 51 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/1)\/(-528*22\/(-176) + -62)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.3 or -0.215?\nAnswer: -0.215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1) + 0\/(-10). Let p be 15\/4 - (0 - m). Which is the biggest value? (a) 0.4 (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, 73 in descending order.\nAnswer: 73, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76395, 76399, 76403, 76407?\n\"Answer: 4*r + 76391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15495 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from bnzznnbbbznnbzbzbnn?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37818.574 and 1.\nAnswer: -37818.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llk when three letters picked without replacement from lkjjjjgjl?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.6759, 0.1, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8190735*p**4 - 25170257*p?\nAnswer: 98288820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, e: 14}. What is prob of sequence te?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 3.1.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 354432.86 and -433822?\nAnswer: 788254.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 + -0.099195.\nAnswer: 0.240805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - (1 + 12 - (-66 - (20 + -113)))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3767 + -3721. Sort 2\/7, r, -0.2, -2, 0.2 in descending order.\nAnswer: r, 2\/7, 0.2, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3367 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/4)\/(81\/(-24)). Let z = 4 + -4. Let j = z - 0.1. Which is the biggest value? (a) -2\/7 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**8\/112 - 277*o**7\/210 - 125*o**5\/3 - 3024*o**2. What is the third derivative of y(x) wrt x?\nAnswer: 180*x**2 - 6648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 40*i**2 - 968*i + 61. What is n(-57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82b (base 13) in base 3?\nAnswer: 1220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-36 - 4))\/((-27)\/473323230) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2\/49)\/h)*h)\/h**(-2\/13)*((h\/(h**(-5)*h*h))\/h)\/(((h*h*h**(-4)\/h*h*h)\/h*h)\/h))**(-12) assuming h is positive.\nAnswer: h**(-54996\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -23, 4, -19, -4 in decreasing order.\nAnswer: 4, -4, -7, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 109916*r - 109914*r = 6, -3*g + 2*r - 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c - 49. Let x be i(8). Suppose x*m - 1134 = -6*m. What is the remainder when m is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 119*k - 129*k. Sort 0, k, -0.1, -3.3 in increasing order.\nAnswer: k, -3.3, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-78*k**3 + 26*k**3 - 35*k**3 + (-5 + 3 + 1)*(2 + 2*k**3 - 2))*(-k - 3 + 3) as m*k + s*k**4 + t*k**3 + w + c*k**2 and give s.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365424*g**3 - 2*g**2 + 4730888*g**3 + 0 - 2365430*g**3 + 0.\nAnswer: 34*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2765 and 15258929?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = t + 91, 5*v + 6*t - 3*t + 228 = 0. Let k = v + 57. Suppose 0 = k*b - 93 - 51. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w + 15. Let j = -480 + 484. Sort 2, j, w in descending order.\nAnswer: j, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, 60, -2 in descending order.\nAnswer: 60, 17, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 72726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/1)\/(-12)*4. Suppose -2*c = y*u - 4268, -11270 = -4*c + u - 2759. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 62*o - 1. Let s(c) = -c + 1. Suppose 0 = -3*h - 2*g - 3*g + 16, 2*h - 6 = -g. Let j(m) = h*s(m) - l(m). Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus -7508?\nAnswer: 7517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - z + z + z - 7*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 327570000 rounded to the nearest one million?\nAnswer: 328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*x - 4 - 4, 4*n - 4 = 0. Let y be (2\/(-2 - -4))\/((-3)\/(-15)). Suppose -4*h = 4*c - 10 - 10, -y*h + 25 = -4*c. Solve -x*t + 3 + 1 = c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215449.\nAnswer: 13, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339256, -339248, -339236, -339220, -339200, -339176, -339148?\nAnswer: -339116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 11. Let r(o) = 7*o. Let n(u) = -8*u + 4. Let l(p) = -7*p + 3. Let s(t) = 4*l(t) - 3*n(t). Let g(k) = 6*r(k) + 10*s(k). What is g(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.979 - -0.021. Suppose -3*w + w - 950 = 0. Let t be ((-10)\/w)\/(2\/10). Sort -1\/3, t, a in ascending order.\nAnswer: -1\/3, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23251310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013445 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8548 = -n - 3*n. Let v = 1147 - n. What is v rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 12. Calculate p(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/8, 0.2, -4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(48)\/sqrt(4))\/sqrt(6) + sqrt(98)*-3 + sqrt(2) + (-1*sqrt(8))\/sqrt(4) + sqrt(288)*-1 + sqrt(288))**2.\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let o(y) = -4 + c*y + 4*y + 2*y. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/10641536 and 55\/2161562.\nAnswer: 138339968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 5*z - 8*z - 9*z**3 - 2 to k*z**2 + w + v*z**3 + b*z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1543 + -23143\/15. What is the third smallest value in 1\/2, 0.4, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 21, 2\/17, 28\/191?\nAnswer: 28\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 86 = 3*f. Suppose 8*t - f = 5. Suppose q + 390 = 3*s, t*q - 120 = -s + 4*q. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 452640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 103.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/525*32\/20)\/((-2)\/(-10))?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 8, u: 4, y: 1}. What is prob of sequence uy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 2*h + 297. Solve -5*l - h + 24 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -805 or -784?\nAnswer: -805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115974d (base 14) to base 15\nAnswer: ad9ebc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/19 - 285524076*b\/19 - 10190499746956722\/19.\nAnswer: -2*(b + 71381019)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Suppose 21 = 4*w + 5*h, -4*w - 3*h = 5 - 24. Suppose 0*k + w = -4*k. Let s(x) = 0*x + 4*x**2 + 5*x - 4*x. What is k*s(m) - 5*z(m)?\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1942 is divided by 653?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((1 - (-3 + 2)) + (-33 - -27)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 = -3. Let k = -2 - t. Solve -7*z + k*z - 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212759 is divided by 30335?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31996 or 31994?\nAnswer: 31994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 5*j**2 + 4*j + 1. Determine f(7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5367817 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 13. Let i(f) = -f**2 - 8*f - 4. Let k be i(-7). Let m be (-3)\/k - -4 - -2. Calculate the highest common divisor of r and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22434900 is divided by 255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 5}. Give prob of picking 2 f and 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 158, 687, 1730, 3419, 5886, 9263?\n\"Answer: 22*n**3 + 125*n**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.472 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o - 3*a, 4*o - 44 = 2*a - 0*a. Solve 9*w - 4*w = o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 3) + 9 + -34\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:15 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31012101312 (base 4) in base 6?\nAnswer: 201332130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(180) + -2*sqrt(180)*5))**2.\nAnswer: 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 25114435?\nAnswer: 25114434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2686, 2693, 2712, 2749, 2810, 2901?\n\"Answer: u**3 + 2685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -73, -74, -77, -82?\n\"Answer: -p**2 + 2*p - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 + 21 - 29*g**3 + 12*g**3.\nAnswer: -2*g**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 6*w + 1. Let n be v(-6). Let z = n - 4. Is 2*1 - (-6 - z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3 + 6 + 1 - j. Let u be h(3). Solve 9 = 5*x - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2.9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 167 - -946155?\nAnswer: 946322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4681*p**3 + 2*p**2 - 2*p + 3. Is u(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 - 130 = -5*c + 176, -2*c - 6 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36767?\nAnswer: 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26474 less than 26474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + 5 + -156)*-1?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 36*c**3 + 31*c**2 + 15. Let a(b) = 9*b**3 + 7*b**2 + 4. Give 9*a(j) - 2*t(j).\nAnswer: 9*j**3 + j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 894979 and 17397?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - -9 - 14) + 13. Solve v*z - 108 = 2*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*w + 3 - 4 - 7*w as a + r*w and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*r**2 - 9*c**3*r - 2*c**3 + 165*c**2*r**2 - 31*c*r**2 + 82415*c*r - 32*r**2 wrt r?\nAnswer: -2*c**3 + 330*c**2 - 62*c - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 22775901?\nAnswer: 22775901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*l - 680*l - 1343*l.\nAnswer: -1577*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 12*w + 28. What is y(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 88923854, 177847711, 266771568, 355695425, 444619282, 533543139?\n\"Answer: 88923857*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/224)\/((-2)\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**5 + 151100*c**4 - 1140955295*c**3 - 9154399860*c**2 + 129100916340*c - 274119595200 = 0.\nAnswer: -16, 3, 5, 15114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396332673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21\/31 + -127\/279. Let d = 397\/4 + -100. Which is the second biggest value? (a) s (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 31 = 4*r + 103, 3*r = -2*w - 98. Let g = -21 - r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -0.5 (b) 2\/5 (c) -9 (d) 12.3 (e) -23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, n: 4, r: 5, f: 6}. Give prob of picking 1 u and 3 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 12, 4*u + 4*i = 3*u - 58. Let x = u - -102. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/141 and -32\/114445.\nAnswer: 343335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b**3 + 35*b**2 - 5*b. Let f(t) = 7*t**3 - 19*t**2 + 2*t. Let i(v) = 5*f(v) + 2*o(v). What is the third derivative of i(x) wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16)*(-4)\/(-3))\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -9. Let i = u - -9. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + g = -58, -4*t + 3*g + 72 = -g. Suppose 8 = 2*y - 0. Suppose 0 = -y*v, -v = -2*h + 4*v + 14. What is the remainder when t is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 420 + -281. Let g = u + -59. Round g to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90447.69l in millilitres?\nAnswer: 90447690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 4*p**2 - 14*p**2 + 2*p**2 in the form q*p**2 + v*p + g and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -15 - 1. Let q be 2\/n + (-1 - 0). Let w = -915.5 - -915.3. Which is the closest to 2\/5? (a) w (b) q (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 1668128.\nAnswer: 1668128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgg when three letters picked without replacement from {k: 2, g: 4, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - 1*-3*sqrt(52))\/(6*sqrt(64)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 11*n**6\/30 + 5*n**4\/12 - 73*n**3\/6 + 90*n**2 + 2. Is d(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-12) + 56\/66. Let w = 23 - 117\/5. Which is the third smallest value? (a) v (b) -1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.2 and -269874.\nAnswer: -269860.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -659437 bigger than -659556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*p - 400 + 520 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/6, -281, -3\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487605.\nAnswer: 3, 5, 32507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 - 170*n**2 + 3526*n + 3698 = 0.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 2, z: 4, j: 4, g: 1, d: 2}. What is prob of picking 1 j and 1 d?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4375*o + 3762*o - 17777 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 219150, 219148, 219146?\n\"Answer: -2*a + 219152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + f = -1387, 686 = -2*y - 0*y + 2*f. Calculate the common denominator of (267\/15)\/(4\/10) and y\/48 - (-12)\/(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 311 or 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6 and 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.09 (b) 6 (c) -0.2 (d) 0.3 (e) 5 (f) 517 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 1. Give l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*f**2 + 5 + 0 + 5 - 9 + 11*f**5 + 3*f**4 wrt f.\nAnswer: 660*f**2 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 s when three letters picked without replacement from {b: 1, l: 8, s: 10}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 27*u - 12 = 26*u, 0 = 3*s + 5*u - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*s = 476. Let p = 158 + s. List the prime factors of p.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1090, -2, -2\/43 in descending order.\nAnswer: -2\/43, -2, -1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4240.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.1. Let u = -8 - -7.95. Let d = -2.05 - u. Does m = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 2462604*n**2 + 379160330076*n + 41299222960276.\nAnswer: 4*(n + 109)*(n + 307771)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1086*s - 1097*s = -88 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -244 - 33\/8*f**4 - 27\/10*f**5 + 0*f + 8*f**3 + 3*f**2. Solve t(m) = 0 for m.\nAnswer: -2, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.31 + 55.73. Let y = 31 - u. What is y rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 95*y**5\/4 + 119*y**4\/12 - y**3\/2 + 141*y. Find the third derivative of q(l) wrt l.\nAnswer: 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7 + 12?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 41 = -5*d, -54 + 7 = -4*v + 3*d. Solve 4*c - v = -5*o, 3*c - 4*o = -6*o + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*35\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12281?\nAnswer: 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 583968020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 + 4*j**2 - 2*j**2 + j)*(47 - 2*j + 4*j - 37) in the form r*j**2 + c*j**3 + k + d*j and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0*v + 2\/3*v**4 - 1\/5*v**5 + 0 + 8\/3*v**3 + 5*v**2 - 2\/105*v**7 - 2\/15*v**6. What is s in g(s) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 34659 = -m, 5*a = 8*m - 3*m + 43320. List the prime factors of a.\nAnswer: 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65542963 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 20 = 7*f. Suppose 2*r + 0*r - 6 = -f*l, 4*l + 4 = -4*r. Is (-229)\/r - 1\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15632*x**3 - 569*x + 5983*x**3 + 317*x + 252*x + 2*x**2.\nAnswer: -9649*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.825 + -0.175. What is the third smallest value in -5, g, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 7*w**2 - 4*w + 6. What is q(6)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 13. Let f be i(9). Let p be (252\/147)\/(-6*1\/(-21)). Let k(w) = -56*w. Let y(q) = -7*q. Calculate f*y(u) + p*k(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72171725 - 72171725 + 6*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.181 + 9.281. Let l = 9 - o. Let z be (2 - 0)*(-2)\/4. Which is the closest to z? (a) 1\/5 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 6*g + g - 29.\nAnswer: 7*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643047 is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 - 2*v + 12. Let t be j(5). Find the second derivative of h - 5*h - 4*h**t + 20*h**2 - 4*h wrt h.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v**2. Suppose -3*o + 3*x = -1137, 2*o = 5*x - 10*x + 758. Let q(l) = -o*l**2 + 0 + 0 + 374*l**2. Calculate q(n(h)).\nAnswer: -245*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3331706091 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-18)*(-6)\/(-4). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 41 = -90 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1020\/9)\/4 + (-4)\/(-6). Let n = 54 - b. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5.2\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 398 + -394. What is the highest common divisor of t and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q + 1. Let p be i(5). Let m = -41 - p. Let h(u) = u**2 + u + 1. Let k(r) = -6*r**2 - 2*r - 2. Determine m*h(t) - k(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 0*a = 318. Let v = a + -54. Let q be (-11)\/4 - v*2 - -2. Is 2 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41584380 a multiple of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3757399 is divided by 43?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/5 - 6\/12*6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 804*c + 113075. Let v = -5 - -12. Calculate the remainder when h(122) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 189 = -13*z + 9*o, -977*o = 5*z - 974*o - 63 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -6*sqrt(10)\/sqrt(2) - (sqrt(5) + 1 + -3).\nAnswer: -6*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 8*d - 15. Determine c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o**2 + 3*o**2 + 4*o**2 + 152*o - 17*o**2 in the form c + m*o + v*o**2 and give m.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764*g + 410*g = 2402 - 24066 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44 + -37 - (-792)\/(-111). What is the second smallest value in -2, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 10*b - 9. Let a be z(8). Let f(k) = 4*k - 22. Let v be f(a). Solve v = -x + 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.35 (b) 3 (c) 3\/4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -628.8 - -562. Round l to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2492204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(2\/29)))**34)**(-17) assuming g is positive.\nAnswer: g**(1156\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2682, 5364, 8046?\nAnswer: 10728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 1172718*x + 343816876881.\nAnswer: (x + 586359)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90452702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(11)*1)**2 + -4 - sqrt(88)\/(1*sqrt(8))) + -5).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319017*v + 319183*v = -10956 for v.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -23*w + 29*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {p: 1, r: 1, o: 6, b: 3, s: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -2832103.\nAnswer: 3\/2832103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061694 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 2:10 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6590*h**5\/7 + 28646*h**4\/7 - 9004*h**3\/7 - 80*h**2 = 0. What is h?\nAnswer: -35\/659, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 40. Let o be (-3)\/21 - u\/21. Suppose o*h = h - 5*n + 15, n - 1 = 0. Sort -2, 2, h in increasing order.\nAnswer: -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 2023532?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2114, 4229, 6344?\nAnswer: 8459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 0.01, 1, -2, 0.02, 1\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 580684450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166236 + 13?\nAnswer: -166223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -40) + -17 - ((-17)\/(-85) - (-156)\/(-5))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 - 0.7. Let y = s + 0.59. Let v = 67\/310 - 1\/62. What is the second smallest value in y, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*q = 32. Let c(f) = f + 16. Let y be c(q). Solve -3*a = -6 - y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26736980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 19175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*98\/(-140)*-8*5\/5\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -54. Suppose -5*l + 10 = 4*y, -z = -5*l + 2*y - 8. Solve -p + l = 5*j + 31, 0 = 4*j + p + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**2 + 29*t**2 + 48*t**2 - 24*t**2 - 23*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 0 - (-5 - -11) - (7 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 10. Let c = -223498\/13 - -17192. Sort c, f, 7 in increasing order.\nAnswer: f, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 9*r**2 + 14*r + 1. Let m = 5 - 12. Let y be f(m). Put y, -22, 5 in decreasing order.\nAnswer: 5, y, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -a0?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51790042*t**5 - 1367984*t + 8 wrt t?\nAnswer: 1035800840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -531*c. Let o(w) = 253*w**2. Determine k(o(r)).\nAnswer: -134343*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i + 24. Let r be o(7). Suppose -14*g + 484 = -r*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 730, 2490, 5932, 11620, 20118, 31990?\n\"Answer: 94*j**3 - 5*j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1375 + -518. Let j = m + -861.39. Let z = 4.4 + j. Round z to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 19*s + 60. Find the common denominator of s and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2 - 2)*(2*t**2 + t**2 - t**2)*(4*t - 5*t + 0*t)*(3 + 2 - 2).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -j + 14, 0 = 2*n - 5*j - 4 + 35. Let a be (3\/18*2)\/(1\/n). Let u be (a + -5)\/((-854)\/286 - -3). What is u rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(sqrt(147) + 0)**2 + -1 + -4)*-4.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuucwurccuuu. What is prob of sequence ccc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*p - 658 = -289*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.92547m to nanometers.\nAnswer: 42925470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*u - 327 - 212, -2*u = j - 514. What is the remainder when j is divided by 508?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453442 is divided by 18842.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 316341088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2829 is divided by 920?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzpzpzvpvzzzzzzzzz. What is prob of picking 1 z and 1 v?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3694084*b**3 - 11136068*b**2 - 161644*b - 588 = 0 for b.\nAnswer: -3, -7\/961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-4))\/3*1980\/(-165)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/5 + 3369*m\/5 + 3384.\nAnswer: -3*(m - 1128)*(m + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-5) - 20\/50. Is 118 - 4\/a*0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 22\/3, 2.7, -2\/13, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -134997783?\nAnswer: -134997779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -1101111?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-1 - -1397)*(-1)\/3. Let x = n + 481. Is 19 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1027\/(-6084))\/((-1)\/3) and -13\/32.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20568 is divided by 56.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576 is divided by 430.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 365*t**2 + 365*t**2 - 1463*t**2 + 367*t**2 + 362*t**2. Suppose 5*j - 2*w = 68, 3*w + 30 = 2*j + 5*w. Let k(p) = -3 + 0 - j*p + 3. Determine r(k(n)).\nAnswer: -784*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 - r + 5*r - 2*r. Let d(k) = 7*k**2 + 3*k. Suppose 2*n - 18 = -2*w, 2*n - 4*w = -10 - 2. Determine n*d(l) - 5*u(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o + 3 = 0. Let x = 19 - o. Suppose -2*t = -17 - 11. Calculate the lowest common multiple of t and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 4*y = 4*f - 7*y + 64, 5*f + 64 = 5*y + 14 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*w - 2*w + 58, -4*w + 8 = 0. Suppose 52 + 24 = 4*l - 4*c, -c + 71 = 4*l. What is the smallest common multiple of o and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2429 (base 11) to base 6.\nAnswer: 22413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3801725 and 644772560.\nAnswer: 3223862800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1503888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*y**2 + 1443*y - 19.\nAnswer: (y + 19)*(76*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 10*p - 22*p. Solve p = 38*j - 41*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 26493333899\nAnswer: 26493333899.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 606504270 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 110 - 236 = -2*i, -3*z + 517 = i. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/190 and 93\/170?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/3 + 11*g**3\/3 - 2*g**2 - 28*g\/3 + 8 = 0. Calculate g.\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -363*w**3 - 77*w**2. Let o(u) = 28 - 261*u**2 + 14*u**3 + 264*u**2 - 28. Give -3*n(j) - 77*o(j).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-9)*3\/(-2).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-140)\/21)\/(258\/(-18) - -15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**3*u**3 + 6*f**2*u**3 - 51*f*u**3 wrt f.\nAnswer: 36*f*u**3 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 3*w**5 + 4*w - 25. Differentiate h(g) with respect to g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 + -154. Let q = 46 + x. Let j(i) = 13*i**2 + 1. What is the units digit of j(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 39*p**2 + 20*p - 126. Is m(-37) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 + 9*a**2 + 3*a + 3. Let z(m) = -m**3 + m**2 + m + 1. Let p(s) = g(s) - 3*z(s). Let i be p(-6). Solve i = 7*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7814040 and 1560?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 383.9 and 2.3.\nAnswer: 386.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - (2 + (-10 - -7 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*v = -0*m - 402, 2*v + 228 = 3*m. Let w = 82 - m. Suppose 0 = -3*u + 5*z + 648, -2*u + 434 = -0*u - w*z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 425*u**2 - 10*u + 15. Let f(o) = -4*o**2 + 3*o - 2. What is -a(d) - 4*f(d)?\nAnswer: -409*d**2 - 2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + 2. Let u(k) = 201319*k. Give z(u(l)).\nAnswer: -243176038566*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1 (c) 1.2 (d) -1\/4 (e) 1\/16 (f) 3 (g) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + 0 + sqrt(11) + 4)**2 + sqrt(55)\/sqrt(20) + 4 + -3 + sqrt(11).\nAnswer: 31*sqrt(11)\/2 + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1570)\/(3\/(1 + (-6 - -2))). Suppose 0 = -c + 2*d + z - 166, -3*c + 4220 = 2*d. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 3362?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 971 + -968. Solve 0 = q*g + 8 - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-55) + (-30)\/75. Let u = -2013 + 2013.04. What is the closest to u in t, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**5*o + 26*j**3 - 14*j**2*o + j*o - j + 134*o - 1 wrt j.\nAnswer: 100*j**3*o + 156*j - 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*p*z**3 + 89*p*z**2 + 25*p*z - 3*p + 53*z**3 + 34*z**2 + 6*z - 47 wrt p?\nAnswer: -17*z**3 + 89*z**2 + 25*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 4 - 4)*(-62*y + 1215*y + 1457*y + 677*y - 568*y).\nAnswer: -2719*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Let s(t) = 2*t**2 + f + 20*t - 21*t - 3*t**2. Let p be s(0). Solve y + 10 = p*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33984 and 176?\nAnswer: 373824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*712384.\nAnswer: -6411456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9*u + 6*u = -735, -5*u = 20. What is the remainder when k is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*(-4)\/(-16)*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2871, -5800, -8731, -11664, -14599, -17536?\n\"Answer: -c**2 - 2926*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1705*b**5 - 202*b**3 + 660494*b**2 wrt b?\nAnswer: -102300*b**2 - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c*c**(-1))\/c*c*c)\/c**0)\/((c**(-1\/10)*c)\/(c*c**3)) assuming c is positive.\nAnswer: c**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 67, 93, 121, 151, 183, 217?\n\"Answer: q**2 + 23*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 14*n**2 + 1\/30*n**6 + 1\/336*n**8 + 0*n - 5\/24*n**4 + 0 + 1\/3*n**3 + 1\/30*n**5 - 2\/105*n**7. Factor w(v).\nAnswer: (v - 2)*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75849, 145638, 215427, 285216, 355005, 424794?\n\"Answer: 69789*q + 6060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 - -228. Suppose 3*t - i = 3*l, -2*t + 6*t + 5*l = 16. Solve 0 = -t*b + b + 3, 2*a = 5*b + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + u**2 - u**2)*(-39 + 0*u + u + 14) in the form m*u + l*u**2 + k*u**3 + y and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.17 + 0.17. Let t be (-8)\/(-84)*-7*(-3)\/10. Is t equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95167932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**2\/2 - 2*s - 3. What is the lowest common multiple of (-77)\/21*3*-1 and o(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**9\/22680 + b**4\/12 + 2*b. Let s(p) be the third derivative of f(p). Factor s(x).\nAnswer: 2*x**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -47 (c) 2\/7 (d) -4.78 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502810 and 1540?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5947 - 4039. Let g = 1240 - 2475. Let f = g + a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 0, 2, 14, -78, 15 in descending order.\nAnswer: 15, 14, 2, 0, -3, -6, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126730 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222 (base 16) in base 8?\nAnswer: 61042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 - 3*p**3 + 4*p**3 + (-p**2 + 4*p**2 - p**2)*(p - 5*p + p) - 25*p**3 + 26*p**3 + 5 - 6 + 2*p**2 to s*p**2 + b*p + v*p**3 + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225*p + 1222*p + 36 = 0. Calculate the greatest common divisor of p and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1040)\/(-2912))\/(120\/154)*(-12)\/(-8).\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78057 divided by 11151.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2699 = 5*j + 4*c, -4*c + 2156 = 4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133133 (base 4) in base 9?\nAnswer: -2678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 459*u**3 - 6*u**2 - 4 - 11*u - 6 - 460*u**3. Let v be o(-4). Solve v*n + 9 = 4*s - 5, 3*s - 9 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*2\/((-6)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 213.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r + 13*r + 20. Suppose -4*c - 6*m + m + 3686 = 0, r*c - 2*m - 3672 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(70\/(-5)))\/((-168)\/(-7))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (41 - 72) + 32\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694143?\nAnswer: 3, 47, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((3\/(-15))\/((-5)\/50)). Which is greater: g or -1\/734?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1842795366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 6)*(1 + 2 + 5)*(1 + 3 - 3)*(0*w**2 - 4*w**2 + 3*w**2).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17291b9 + 3?\nAnswer: 17291bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 0, 2*b - x = 4*b - 6. Suppose -f + 3 + b = 0. Solve -6*s = -5*q - s + f, 5*s - 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 361 - 3052 - 278*h**2.\nAnswer: -278*h**2 - 3491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.2 - 22.9. Sort 1\/9, -0.3, q in ascending order.\nAnswer: q, -0.3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let o(f) = -3*f**2 + 36757. Determine o(m(c)).\nAnswer: -3*c**4 + 36757","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6315287 and 2.\nAnswer: 12630574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 353?\nAnswer: 6001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-19)*(668382\/156)\/(-11)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 times -1170?\nAnswer: -3155490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4274*d**2 + 22*d - 23. Is 10 a factor of f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742134331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 6*f**2 + 8*f + 14. Is x(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*z + 554*z + 274*z - 1656*z - 2838 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -604 - -608. Let a be (37 + -29)*2\/4. Solve l*n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 6, k: 4, m: 6}. Give prob of sequence dm.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234141, -1873174, -6321981, -14985450, -29268469, -50575926, -80312709, -119883706?\nAnswer: -170693805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 378400 divided by 688\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -7*w + 81*w + 584 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4827024, -9654035, -14481046, -19308057, -24135068?\n\"Answer: -4827011*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3570 and 182.\nAnswer: 46410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -142, -214, -316?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 6384997\nAnswer: 25539988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -4 - (2 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 - -4. Let l = -16 + 20. Let y = 1 - 0. What is the closest to y in -4, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*n + 25, -3*n = -5*y - 0*y + 37. Let k(i) = 3*i**2 + 24. What are the prime factors of k(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 + 0 + (-22)\/24. What is the second smallest value in -5, z, 1\/19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 644 and 168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6530 divided by -6530.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*t**2 - 2 - 7*t + 7*t wrt t?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*u - 270 = -102*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/5 - 7*j\/5 + 6\/5 = 0. What is j?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011001 + -101001110100?\nAnswer: -1000101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74368291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 110, 2\/3, 2, 39.\nAnswer: -147, 2\/3, 2, 39, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 15. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 - 1.5. Which is the biggest value? (a) g (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 49*y**2 - 34*y - 148. Is k(48) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 348\/104 - (82\/20 + (-9)\/15). What is the fourth smallest value in 0.1, -3, 65\/3, f, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9482701?\nAnswer: 311, 30491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3148774 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 <= 18\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 905676, 905438, 905200, 904962, 904724?\nAnswer: 904486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 - -0.17. Which is the closest to -2\/5? (a) 2\/3 (b) f (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssese. Give prob of sequence sss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 12. Let c(x) = -1. Let p(g) = 10*c(g) - v(g). Suppose 2 = l - 1. Let b(o) = 1. Give l*b(a) - p(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - v + 82 - 27, -5*v + 222 = 4*u. Let i(q) = -q**3 - 120*q**2 + 216*q - 1985. Let p be i(-122). What is the highest common divisor of u and p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*y + 2, -1 = -5*y + 271*z - 272*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 44?\nAnswer: -61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*a**4*b + 4*a**3*b**2 + 591*b**2 wrt a?\nAnswer: 168*a**3*b + 12*a**2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 206306?\nAnswer: -206313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**24*j*j))**(7\/5) assuming j is positive.\nAnswer: j**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g**2 + 3*g. Calculate the remainder when 29 is divided by z(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 392820*g*n**2 - 16*g*n - 12482*g - 3*n**2 + 25 wrt n.\nAnswer: 785640*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.904046 and 75.801474.\nAnswer: 76.70552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - i)*(2*i**2 + 0*i + 0*i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 124*y - 7 - 25*y - 10*y to the form s*y + r and give s.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3, 11*q - 2*g + 6 = 15*q. Let o(a) = 5*a - 12. Let x be o(q). Solve 0 = -3*t + u + 1, t - x*t + 2 = -2*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z + z**4 + 5*z + (-1235 + 94*z**2 + 1235)*(1 + 0 + 0)*(-2*z**2 - 5*z + 5*z**2 + 1 + 9*z).\nAnswer: 283*z**4 + 376*z**3 + 94*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 9*u + 275. Let m(x) = 20*x + 549. Give 7*d(a) - 3*m(a).\nAnswer: 3*a + 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**3 + 27*c**4 + 18*c**4 + c**3 - 41*c**4 - 16*c - 16*c**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 31*j**5\/60 + 2296*j**2. Let z(r) = 7*r. Let m(i) = -6*i. Let b(c) = -6*m(c) - 5*z(c). What is y(b(s))?\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5074*p**2 - 13*p + 4*p + 3952*p**2 + p**3 + 9*p.\nAnswer: p**3 + 9026*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 4, 326\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**2\/7 + 3464*u\/7 = 0?\nAnswer: -866, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {g: 3, n: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1659*g + 316883. Give b(191).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 21 = -8. Let k = y + -9. Suppose -2*v = k*z - 4, -5*z + 0*z = 20. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 2 (c) 1\/2 (d) 5\/4 (e) 1\/8 (f) -4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/20 and -17\/6004?\nAnswer: 30020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -1 (c) 4\/19 (d) 2\/9 (e) 95 (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/20 + p**3\/6 + 7*p**2\/2 - p. Let q(w) = -3*w + 0 - 1 + 2*w + 3. Let n be q(2). What is g(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 36 = -o. Suppose -o = 4*z + u + 3*u, 4*u = -3*z - 28. Let l = z - -20. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 113*v**2 - 1255*v - 1255. Determine l(-1).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 36 - 16, -2*t = 4*i - 24. Let u = 120 - 118. Let o(x) = x + 1 - 3*x**t - u*x - x. What is o(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -385\/8 + 97\/2. Which is the smallest value? (a) 0 (b) i (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 9*r**2 - 9*r + 3. Let c be g(8). Suppose -10*z - 3 + 33 = 0. Let w(m) = 4*m - 7*m**2 + 2 + 413*m**3 - 414*m**z + 2*m + 3*m**2. Give w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-7))\/((-22)\/462*3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:06 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4292 and 73\/1258?\nAnswer: 72964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 35322 = 35315 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + 2\/(-8) + (-820)\/48. What is the third smallest value in q, -0.05, -0.06?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1838 - -4099. Let q = -24834\/11 + d. What is the common denominator of 15 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guccvgkukkgg. What is prob of picking 3 k?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, z: 1}. Give prob of sequence zee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-16)*-116)\/(6\/(-5)*130\/52)\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 136008768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-42))\/8*14\/24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = 2*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93007 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wwwwllwlwllwwwjww?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5896.6 times 6?\nAnswer: -35379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2174221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(-3 - 2 + 6) - 6 + 0 + 1)*(2*d**4 - d**2 + d**2).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 39\/110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*m = -12240 + 1242 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 406 + -359. Suppose n*t + 282 = -0*t. Let o(r) = 2*r**2 + 9*r + 9. What is o(t)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 556 and 417?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-125)\/135 + (-342)\/(-57)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*k + 3285 = 398*k for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.6 * -4.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 45*v**3 + 20*v + 12. Let s(j) = -43*j**3 - 21*j - 10. Give -5*a(n) - 6*s(n).\nAnswer: 33*n**3 + 26*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3815916*g**4 + 5*g**2 - 5*g - 27948?\nAnswer: -91581984*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -1910364.9807 + 1910778. Let v = b - 413. What is v rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316517 is divided by 316046?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 263265217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 - 2*n**4 + 2*n**4 + (5*n - n - 3*n)*(-n**3 + n**3 + n**3) - n**4 + n**4 - 2*n**4 + (-3 + 3 + 2*n**2)*(4*n**2 - 2*n**2 + 0*n**2) + 1 + n**4 - 1.\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {o: 4, h: 6, c: 1, g: 1, l: 1, r: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7 + 28*x - 7 - 32*x. Let g(s) be the third derivative of -s**4\/8 - 568*s**2. Calculate g(l(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63781847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4083*w - 4079*w - 2*w**3 + 4*w**3 - 40*w**2 + 8159*w as q*w**2 + n*w**3 + j + m*w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1754.8056 months?\nAnswer: 0.1462338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 9) in base 14?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(-43)*(z\/(z\/z**(-4)))\/z**(-6) assuming z is positive.\nAnswer: z**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:16 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4639 + -4624. Calculate the remainder when 154 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*t**2 - 16*t**2 + t**2 + 2*t - 4*t + 17*t + t**2 + (0 - 2*t + 0)*(-2*t + 5*t - 5*t) + 0*t**2 + 3*t**2 - 5*t**2.\nAnswer: -27*t**2 + 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 20 = -17*i. Let y(q) be the first derivative of 0*q + 1\/2*q**2 - 1\/5*q**i + 0*q**4 - 3 + 0*q**3. What is the second derivative of y(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -173. Let p = 114.9 - o. Let r = -0.01 + -1.99. What is the closest to p in 5, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkkf when four letters picked without replacement from ppppppfppfkpfpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**3 - 37*n**4 + 2*n + n**3 - 1 + 38*n**4 + (-17 + 14*n**2 + 17)*(-n + 2*n**2 + n) to the form i*n**3 + h*n**4 + l + g*n + s*n**2 and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216112.428s to weeks.\nAnswer: 0.35732875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29659 is divided by 4130?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140794883?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5078 = 487*n + 10019 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 15*y = 4*g - 6, -5*g = 3*y - 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:36 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -32346.\nAnswer: 5\/32346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:46 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1040*y + 2. Let c be h(2). Suppose 5*q = -q + c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -1703?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/9*-12*7\/(-56). Let d(a) = a**2 - 4*a + 3. Calculate d(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 16*a**2 - 17*a - 22. Suppose -2*x = 2*r + 133 + 23, 0 = 5*r - 10. Calculate the remainder when w(-15) is divided by (x\/24)\/((-3)\/(27\/6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 11. What is z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 0*y + 0*y - 257 + y + 259 + y**3 - y**2. Let x be t(0). Solve -i - 1 = -x*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(396) - (sqrt(396) + sqrt(396) + 2)) + 1 + (-6*(sqrt(55) + sqrt(495)\/sqrt(9)))\/sqrt(5))*1 + -2)**2.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 206. Let d = -10 + 31. Let v = d + -12. Calculate the lowest common multiple of v and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-21) + 34\/7. Suppose -i*y + 4*j = -4095, 4 = -j - 1. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/((-2)\/8). Let t be w\/8 + 1\/4. Let p be ((-1)\/10)\/(7*(-6)\/252). Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 165, -2\/1589, -1\/2?\nAnswer: -2\/1589","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 0*y**3 + 3 - 189*y**2 + 95*y**2 + 92*y**2 - 48*y to z*y**2 + t + q*y**3 + n*y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 - 1. Let a be u(-1). Suppose 2*k - a*o = 813, -o + 576 = 5*k - 1443. What are the prime factors of k?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2. Let l(r) = -50*r + 62. Let f(b) = 93*b - 123. Let u(c) = 5*f(c) + 9*l(c). Calculate u(a(j)).\nAnswer: 30*j**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 36036*a - 108216108.\nAnswer: -3*(a + 6006)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -123600000 rounded to the nearest 1000000?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1943467481 to the nearest integer?\nAnswer: 44085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1109 + -1105. Solve -12*d - 4*h = -16*d + 12, 0 = k*d - 5*h - 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 18*q**2 - 8*q + 190. Determine p(-19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 722 divided by -361.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-54)\/4. Let x be 123\/n - (-1)\/3. What is the greatest common divisor of 154 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 7000844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8411364 and 149\/29907072?\nAnswer: 269163648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239750803 is divided by 3506.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y = 30. Let d be 5*(4 - y - -3). Let b(z) = d*z - z - 10*z. Let x(f) = 2*f**2. Calculate x(b(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 1767?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/3, -4, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -227*j + 222*j - 5 + 2 - 3. Let s be m(-2). Suppose -t - 5 = -s*h + 81, 5*t = -3*h + 53. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194150.2 millennia to decades.\nAnswer: 19415020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -6, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/((-8398)\/11917) + 27)*(-4 + (-240)\/(-57)).\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12017.\nAnswer: 61, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 15) to base 5\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -5)*(-30)\/(-20). Let s be (-3)\/(h\/(-6) + 0). Suppose s*n = -3*n. What is the nearest to -0.1 in 2, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**2 + 304 - 610 - 4*v**3 + 306 - 4*v to f*v**3 + h + u*v**2 + p*v and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -6 + 17 - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2*u - 10*b + 6*b + 4 = 2*u, 48*b = 12*u + 43*b + 137 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d = -9. Suppose 4*w = -2*m + 20, 489 - 461 = 4*m - 4*w. Solve -d*h + 1 = 2*y, -3*h = 4*y - 3 - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(sqrt(304) + 1 + -4 - sqrt(304))*4.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1028945 is divided by 3080.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13015 - 13015.000012028. What is j rounded to seven dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p + 1. Let o be v(4). Suppose -o = -b - 2*b. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/5))\/(v\/v**(-4)))**(-6\/11)*((v*v\/(v\/(v**(-1\/2)*v)))\/(v*v*v*v**(-6)))**(-46\/5) assuming v is positive.\nAnswer: v**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.212 and 0.32?\nAnswer: 0.06784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*i - 178 = 0, 4*c - 3*i - 672 = i. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuhu when four letters picked without replacement from {h: 2, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 + 3323*g**3 - 70321*g**2 - 324443*g - 250800 = 0 for g.\nAnswer: -3344, -3, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**5\/15 + 17*t**4\/6 - 14*t**3 - 27*t**2 - 162. Solve f(w) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4171 or -1?\nAnswer: -4171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 75335 (base 8) to base 2\nAnswer: 111101011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:30 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -782 - -2741. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.949 - -52.13?\nAnswer: 45.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/5000 and 191\/135720.\nAnswer: 16965000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(2 + (0 + sqrt(931))**2 - (1 + sqrt(931)*-1)) + -5 + 0.\nAnswer: -4663 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.072, 0, 5848, -30, -0.5?\nAnswer: 5848","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2007051 greater than -2007062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -38, 4, -1, -3 in descending order.\nAnswer: 4, -1, -3, -38, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4, -4*t - 2*b = -2*t - 34. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 1. Let z(u) = -u**2 + 5*u + 2. Let i be z(6). Let r = i + 5. Is d less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-30)\/(-12))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -798 take away 3897?\nAnswer: -4695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.52 - 22.48. Is -1.1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -405*n**2 - 165*n - 10.\nAnswer: -5*(3*n + 1)*(27*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1910 - -1914. Let b(f) be the first derivative of 5\/3*f**6 + 0*f**3 + 7\/2*f**2 + 5 + 0*f**u + 0*f**5 + 0*f. Find the second derivative of b(v) wrt v.\nAnswer: 200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5, -945, -3, 0, 7, -3\/8 in increasing order.\nAnswer: -945, -3, -3\/8, 0, 2\/3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-8) - 1330\/(-40)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 2:48 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 59*s - 62*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 164671164 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(84854\/(-228))\/77.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - -8. Let d = 14 - i. Let t = d + 57\/4. What is the closest to t in -0.4, 1, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = -39*l + 943 + 812 + 81 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -5) + -2 + (1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21278575 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**12*w*w)\/w*w)\/w**(-5\/2))\/(w**10*w*w\/(w**(-15)\/w)) assuming w is positive.\nAnswer: w**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaaaxxaaxaxxaxaxax. Give prob of picking 4 a.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -90.4. What is the nearest to a in -0.4, 0.3, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y. Let u(j) = 20582*j + 8 - 20581*j + 31 + 4. Determine u(r(t)).\nAnswer: -3*t + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/(-14) + 10\/35. Solve -r*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((-1410)\/(-658))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87941.53 hours to milliseconds.\nAnswer: 316589508000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97875892 is divided by 9787589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/49, 2, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -5, -34, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0*r - 8*r - 6*r - 2*r. Let p(z) = -8*z. Calculate p(i(f)).\nAnswer: 128*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66279 or -66281?\nAnswer: -66279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/18 + (-12)\/8. Let z be (-38)\/(-92) - (-10)\/(-20). Let s = 11 - 6. Which is the nearest to v? (a) z (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 187701948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4 - 3 - 99*z**3 - 18*z**3 + 13*z**3 as p*z + w*z**3 + i*z**2 + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744) + -4*sqrt(3744) - sqrt(26))\/sqrt(2)*-5.\nAnswer: 185*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392 and 882?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95657 is divided by 219?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -4?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 5. Let j = 9 + -2. Let i be f(j). What is the third derivative of -2*t**i - 4*t**3 + 6*t**2 - t**3 + t**2 wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679920461 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: Is 97 <= 8095.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-8))\/(75\/(-10))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 189*((-2)\/(-4) - (121992\/(-1904) + 64))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -0.1, -285, -6\/11, 0.1 in ascending order.\nAnswer: -285, -5\/4, -6\/11, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*r = -9, s + 0*r + 3 = -r. Let l = 0 + 0. Let d = l - s. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2) + 8\/16. Does o = -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 3*h + 6. Let j be a(0). Solve i - j = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 7}. Give prob of picking 2 i and 1 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 818 - 1157. Let g = 342 + n. Solve -4*v - g*t + 4 = -4, 10 = 2*v + 3*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*-6*(sqrt(539)*-3 + 5 + -5)*-6)**2*5.\nAnswer: -3394923840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 264. Let i = 806 + n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64720 + 66656?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(55\/(-20)) - -11. Suppose -5*y + 10 = 5*i, 5*i - n = -2*y - 5. Is y != 1\/150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 3. Let i be t(-5). Suppose -191481 - 2274519 = i*s. What is s rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8077 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1633626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**37\/(i*i**(-2\/7))**(-25))**(-13\/5) assuming i is positive.\nAnswer: i**(-325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from nnonoonnnoonnoon.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/16986 and 173\/19236?\nAnswer: 54457116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4248 and 70332?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 1)*(-5*v**3 - 21 + 21 + 2*v**2).\nAnswer: -30*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -m - 5334, -5*o + 0*m = -2*m - 5333. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -5*v + 2*z - 183, -z + 739 = 4*v. What is the greatest common factor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*d = -18, 2*f + 2*f - 9 = d. Suppose 51*t - 47*t = 16, -2*u + 2*t = -28. Suppose -u = -8*n + 6. Calculate the least common multiple of n and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 173 - 41. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/5)\/(2\/(-10)). Let b(n) = 36*n**3 - 2*n**2 + n + 1. Let s be b(1). Let x = r + s. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 k, and 1 t when four letters picked without replacement from {l: 3, k: 5, y: 5, q: 2, t: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*h + 16, -3*q + 19 = 7. Sort 0, -7, h in increasing order.\nAnswer: -7, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6933040 divided by -8776?\nAnswer: -790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9, 7*f - 3*f = -5*h + 32. Let d be (2 + -2)*h\/12. Let t be (-9)\/(-3) - d - 5. What is the second biggest value in 5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 15*r = 46*r. Let l(u) be the first derivative of r*u + 1\/2*u**2 + 1. What is l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 385 - 354. Calculate the highest common factor of 341 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233851 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-63603)\/1480 + 43).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -625954 - -461958353\/738. Let v = -95\/123 + l. Calculate the common denominator of v and -49\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2834, 2839, 2784, 2639, 2374, 1959?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 16. Let t(y) = 6*y**2 - 18*y + 13. Let z be t(2). Put z, -0.3, -0.08, g in decreasing order.\nAnswer: g, z, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 - 1. Suppose -16*f + 1357 = 7*f. Let m(z) = 4*z**3 + 61 - 13*z**3 - f. What is -5*m(q) - 8*o(q)?\nAnswer: -3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 380867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = 83*m - 155*m - 560 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3663, -0.1, -7, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, -227, -1775, -5031, -10565?\nAnswer: -18947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 5:45 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/5, -1258, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/46*(-300)\/450?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, 438, -90, -3\/4?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlloolnlllionnlnlo. What is prob of sequence innl?\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/23694 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let t be b(-1). Let v = t + 6. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cei when three letters picked without replacement from {c: 2, i: 2, u: 1, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4674 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 12*y**4 - 630903*y**3 + 2681181*y**2 - 3154272*y + 630852 = 0?\nAnswer: 1\/4, 2, 52571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2544 - -2544. Sort -104, 5, 2, u in decreasing order.\nAnswer: 5, 2, u, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttddrdttdrrodrdrt. What is prob of picking 1 t and 2 r?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t. Let g be o(4). Let z(s) = -2*s - 4*s + s + g*s. Let f(l) = 4*l - 5. Let b(h) = 3*h - 4. Let x(v) = -5*b(v) + 4*f(v). Determine x(z(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 72. Suppose -3*c - 4 + 4 = 0. Is b(c) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*1\/(-4)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) 113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*k - 4*k = -9, 10 = -5*m + 5*k. Let f be (-1 + 7)*3\/12. Let w = -0.1 + 0. What is the nearest to w in 2, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 4, y: 4}. Give prob of picking 1 y and 1 t.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3414 (base 5) to base 6\nAnswer: -2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 328793\/58884 + -2\/4907. Find the common denominator of i and 17\/912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19285544 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8577275 greater than -0.004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3318, 14458, 33034, 59046?\nAnswer: 92494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 4*t + 1076. Let u be c(0). Solve -u*g = -1077*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-2)*98\/(-147). Let u(d) be the second derivative of d**4\/6 - d**3 + 11*d**2\/2 - d. What are the prime factors of u(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263 is divided by (-3)\/3 + 5 - 483\/42*-2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506176 is divided by 343?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -87 + 13*l - 40 - 61 - 20*l. Let v be r(-27). Which is the nearest to 0.059? (a) 0 (b) 3 (c) 0.4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b + 20. Let t be s(3). What is the third derivative of 298*r**2 + r**3 - r**3 + 14*r**4 - 317*r**t wrt r?\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -2.1. Let q = s + 6. Suppose 5*m + 0*m - 4*d + 37 = 0, -15 = -5*d. What is the nearest to -1 in 0, m, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 136750002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/41, -20, -0.5, -2, -4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 5\/3*g**4 + 0*g**2 + 0 + 0*g**3 + 7\/4*g**5 + 10*g. What is the third derivative of t(l) wrt l?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x - 85*x**2 + 122*x**2 + 30*x.\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61917 is divided by 1207?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-630)*(2\/(-1))\/((-13)\/13)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 29. Let h(n) = -n - 1. Let d(o) = o**2 - o - 2. Let x(g) = d(g) - 4*h(g). Let s be x(-3). Solve -8 = -s*m - 4*q - 24, 6 = -r*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -192547.7 and 2885.\nAnswer: -189662.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 30*b + 5*p - 2, b + p + 2 = 0. Let g be 0 + -3 - (-13 + 6). Sort -5, g, b, -3 in ascending order.\nAnswer: -5, b, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/(-28))\/(5\/4 - 1). Suppose -2*f + 0*f = 3*z - 53, 5*f = z + 5. Solve -p - p - 20 = 4*j, z = -x*j + 3*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 457. Let y = 761\/2 - p. Let s be 5\/2*4\/5. Which is the second biggest value? (a) s (b) y (c) 1\/16 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.23 and -13412.\nAnswer: -13412.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.685190552 * 0.5.\nAnswer: 0.342595276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:32 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 6 - 36. Let c(i) = -i**3 - 7*i**2 - 17*i + 1. Is 11 a factor of c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let a be z(-7). Let b(c) = 10*c**3 + 15*c**2 + 12*c + 13. Let n(y) = 7*y**3 + 10*y**2 + 8*y + 9. Let s(r) = a*n(r) - 5*b(r). Calculate s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28633, -57274, -85919, -114568, -143221, -171878, -200539?\nAnswer: -229204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5084507?\nAnswer: 47, 251, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -58*a**2 - 8122*a - 280 = 0?\nAnswer: -140, -1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -1625\nAnswer: -63\/1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -2.3. Let g = m + -11.93. Round g to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-205)\/(-20) - 2\/8. Let v = 10 - l. Let t be 0 + (v + -3 - -8). Solve -t = m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724, 1349, 2390, 3847, 5720, 8009, 10714?\nAnswer: 13835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149924273 to the power of 1\/2, to the nearest integer?\nAnswer: 33911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 7*c - 33300000. What is c rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8\/(-16)*-108 + 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 405 + -384.3. Let o = -21 + p. Which is the closest to 0.18? (a) o (b) 0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84186*z**2 + 31422*z wrt z.\nAnswer: 168372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = h - 1144. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -2\/15 (c) 0 (d) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 26 + w - 78 + 2*w**2 + 28 to h + f*w**2 + n*w and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -2\/5, 14\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h - 91*h = -9155. List the prime factors of h.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/40))\/((c*c\/(c\/c**14))\/c*c))\/(c**(-4)\/(c*c**(-2\/55))) assuming c is positive.\nAnswer: c**(-4009\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673280.52 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*b - 15. Let w(t) = 7*t + 7. Let j(s) = -3*s - 3. Let g(x) = -5*j(x) - 2*w(x). What is the remainder when 20 is divided by g(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:27 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 12. Suppose f = -8 + 46. Calculate the remainder when f is divided by (q\/(-6))\/(18\/54) + 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/13)*l*l*l**(2\/25)\/l*l*l\/(l\/(l**11*l*l))*l*l\/(l**(-1\/17)*l*l))**(-36) assuming l is positive.\nAnswer: l**(-3240612\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/10, -0.5, -2, 1, 1744?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005023 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.324672999\nAnswer: -0.324672999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -7*y. Let m be (y - 3)*(-3)\/2. Find the first derivative of -4*b**2 + 0*b**2 + 3*b**2 + m wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1670.053 (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 3. Let k be u(-2). Let l = k - 3. Solve 0 = 7*q - l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 14. Let j be l(9). Let s be (-4 - -4) + (-1 - j). Suppose -15 = -s*y + 75. What is the highest common divisor of y and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 23*s + 4. Let d(q) = 57*q**2 - 2*q - 1. What is the remainder when d(-1) is divided by g(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114233 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 551\/(-950)*78 - (9 + -33) - -21.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -5\/6*z**3 + 0 + 0*z**5 + 10*z**2 + 0*z**6 + 0*z**4 + 0*z - 1\/30*z**7. Find the first derivative of n(j) wrt j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -8628?\nAnswer: 8627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 - 14124*c**3 - 49857714*c**2 + 99814316*c + 149657907.\nAnswer: -(c - 3)*(c + 1)*(c + 7063)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**21)**50\/((b*b**(-3\/31))\/((b*b**(-2)\/b)\/b)))**(2\/5) assuming b is positive.\nAnswer: b**(67958\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 7*r = 4*f + 44, 2*f = r - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6888331 to three dps.\nAnswer: -0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 8386958?\nAnswer: 838695.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1096)\/24112*(1034 + 0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54111204 divided by -252?\nAnswer: -214727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 61.74. Let x = -1.5 + o. Let j = x - -0.26. Which is the nearest to 1\/4? (a) j (b) 0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5 = -4*t, -3*t - 5*a = -30 + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1687*a + 35055 - 62806 = 39729 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 17*x - 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5145*u - 1677286. Determine t(326).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 595322788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 547?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 683769 divided by -8?\nAnswer: -683769\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*w + 5*d + 2, -10 = 5*d. Let m be (-4)\/14 - (-4)\/14. Let r(i) = i - 2*i + 4 + m*i. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5)*-15)\/(6\/(-30)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q + 5. Let j(h) = -4*h + 2. Let m(y) = -3*g(y) + 7*j(y). Let z be m(1). Let w(a) = -12*a**3 + a**2 - 5*a - 5. What is the units digit of w(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(110*y + 15*y - 6*y).\nAnswer: 119*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 3226170?\nAnswer: 1\/1613085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*y - 133 + 799, 329 = q + 3*y. Suppose -205 = -t + q. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -97*x**8\/336 - x**7\/42 - 267*x**4\/4 - x**2 - 71*x. What is the second derivative of f(r) wrt r?\nAnswer: -1940*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 847755635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - j + 2. Let x be r(1). Let m(n) = -8 - x*n + 3*n + 28. What is the units digit of m(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -11 - 34. Let r(p) = p**3 - 6*p**2 + 6*p + 7. What is the hundreds digit of r(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 40 = c. Let a(r) = 7*r - 17. Let l(y) = -2*y + 4. Let m(n) = a(n) + 4*l(n). Calculate m(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*r - 6*h + 31, r - 5*h + 17 = 0. Let c be -3 - (2\/r + -3). Put c, -5, -1 in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -67, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 572*r**2 - 6896*r - 128896\/7.\nAnswer: 2*(r - 2014)*(r + 4)*(r + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t = -59811 + 1416285. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -5. Let z be (-2 + 11)\/(k\/2). Let h be (-1 + 1)*6\/z. Is -1\/2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -10, -3, 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 167\/6? (a) -196 (b) 0.5 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**5\/60 - r**4\/2 - 5*r**3\/2 + 2*r**2. Let c be y(-10). Suppose 2*d - 7 + 0 = g, c = g + d. Is -1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6527, 13051, 19571, 26087, 32599?\nAnswer: 39107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1104 - 521*v**2 + 1104 - 2*v**2 + 4*v**2 - 3*v**2 + (0 - 2 + 3)*(-1 + 2*v**2 + 1) + 0*v**2 + 4*v**2 - 3*v**2.\nAnswer: -519*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1063 tonnes in kilograms?\nAnswer: 3106.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25606468 divided by 33169?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1559.68396 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -22.44. Let t = -19.46 - s. Round t to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55 + 9?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -89*z + 6. Let k(g) = -163*g + 11. Let l(d) = -11*h(d) + 6*k(d). Let c(q) = 5*q - 21. Determine -c(s) + 6*l(s).\nAnswer: s + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20.81 * -0.11188\nAnswer: -2.3282228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37601, -132778, -291407, -513488, -799021, -1148006, -1560443?\n\"Answer: -31726*f**2 + f - 5876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5010*s**4 + 141*s**3 + 8*s**2 + 1589*s + 43 wrt s.\nAnswer: 120240*s + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10488*j**3 - 25260*j**3 - 4477*j + 4477*j.\nAnswer: -14772*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 181.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 28*l - 78. Let u be a(3). Solve u*n + 23 = 29*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 624 or 589?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -65*w + 31*w + w**2 + 30*w + 4. Calculate b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 c when three letters picked without replacement from {c: 1, a: 2, i: 3, x: 6}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47193 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: -96501*0.1\nAnswer: -9650.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 57. Suppose 0 = w*j - 22 - 5. What is the smallest common multiple of j and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + 0.13. Let o = -15405 - -15404.7. Which is the nearest to 1? (a) v (b) -0.8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.9, -4, 11?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11adc9 (base 15) to base 7.\nAnswer: 10124664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -17*j - 418*j + 17548 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30))\/(21\/(-28)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 0. What is the third smallest value in 8, q, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-15))\/(-4)*60\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3400000*l**2 + l - 3. Let v be (0 - 4\/(-12))*9. Let d be y(v). Round d to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -8 (c) -2\/7 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4648461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 8*n**3 - 30*n**3 + 8*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/72 - (0 + -1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649618?\nAnswer: 2, 324809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + ((-4 - -5) + -2 - (18 - 21))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 9:12 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + 3*w - 6. Calculate s(-6).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6 - 7 + 3*c**2 - c - 2*c**2 + 5 - c**3. What is l(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17433466 != -17433458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(302*h - 210*h + 336*h)*(-2 + 0 + 5) to the form b*h + s and give b.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 167*w - 2005. What is q(65)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.007 + -5.63. Let v = -0.023 - y. Let n = -0.13 - 4.87. Put 0, v, n in increasing order.\nAnswer: n, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 5. Let i be b(-6). Let v = i - 3. Let d = 6 - 4. Calculate the highest common factor of d and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2196 and 4780.\nAnswer: 2624220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.0441 centuries in months?\nAnswer: 280852.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-10)\/3)\/(-10))\/(2\/42)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*s*t*x - s*t - 3*s*x + 2489*s + 28*t*x - 3*t + x - 1 with respect to t.\nAnswer: -6*s*x - s + 28*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0 + 15, -2*c + 4*r + 28 = 0. Suppose -c*z = 4*q - 112, -5*z + 49 + 101 = 3*q. Calculate the remainder when z is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6440 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6651.2 + 7455. Let q = -891 + n. Let j = 87 + q. Is j at most -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 4*k**2 - 3*k + 2. Suppose 2*p = -2*a, p - 4*a + 20 = -0*p. Let j be w(p). Suppose 2*r + 20 = 2*s, 3*s - j = r + 8. Solve -s*n + 20 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*i - 47*i + 97*i**2 - 215*i - 93*i**2 + 166*i.\nAnswer: 4*i**2 - 410*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -17, -3, -54\/583?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23 + 22)*(5 - -5). Let t(o) = -o + 9. Give t(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 42*k + 37*k + 827, h + 3*k = 831. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 3*y - 26. Let k be r(8). Let t = -66 + k. Which is bigger: -66\/13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/352 and -109\/857088.\nAnswer: 9427968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352 + -450. Which is greater: j or -100?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -17 + (11 + -6 - (-14 + 5 + 5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -0.4 (c) -26\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 40. Solve -3*n = -j + 4, -2*n - 2*j - 22 = r*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a2b (base 14) to base 8\nAnswer: -3717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/6063 and -34\/50807?\nAnswer: 6554103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*n - 876 = -66*n. Which is the nearest to 0? (a) -5 (b) n (c) 13 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 4*z + 2*z**2 + (0*z - z - 4*z)*(33*z + 7*z - 16*z) + 3 - 3 + z**2 to s + t*z**2 + g*z and give t.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3009251 + -1677267. Let i = 347181 + -14193. Suppose -m + 5*m + 4*z = -g, 0 = -m - 3*z - i. Round m to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6089985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21554 by -13.\nAnswer: -1658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/30 + 1178*w**5\/15 - 2353*w**4\/6 + 784*w**3 + 353*w**2 - 2*w + 5. Factor x(f).\nAnswer: -4*(f - 1176)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (89\/86 + -1)\/((118692\/(-336))\/157)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1564 + 2*v**2 - 1556 - 25*v**3 - 2*v**2 wrt v?\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q - 6 = -g, -2*q + 12 = 5*g. Let u be 4 - q - (1 - -3). Let m = -1.98 + -0.02. Which is the closest to -2? (a) -1\/10 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 32. Suppose 5*w = -3*a + 2*a + 184, -4*w - 3*a + 156 = c. What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 526108 and 7260.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-4)\/88)\/((-1)\/(-2)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-399)\/4)*180\/(-40)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 100, 5, 0, 176, 6 in increasing order.\nAnswer: -3, 0, 5, 6, 100, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2095*v**3 + 11*v**2 + 818. Let g(j) = -1047*j**3 + 6*j**2 + 409. Let i(t) = -11*g(t) + 6*x(t). What is the first derivative of i(h) wrt h?\nAnswer: -3159*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*g = -2, -2*g + 3*g = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 - -113. What is the closest to 1 in -5, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9129 - 5887. Suppose s = 4*d - 5*d - 654, -m = 5*s - 2*d. Let u = s - -2343. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 42*y**2 - 52*y + 179. List the prime factors of t(9).\nAnswer: 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87972233.31898 - -0.2.\nAnswer: 87972233.51898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -2, 230.\nAnswer: -2, 58, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(119)*2*1)\/(-6*sqrt(28) + sqrt(7)).\nAnswer: -6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*s + 41, -5*s + 31 = 5*b - 34. Suppose 3 - 1 = -u, -5*j + s = u. Let t = -4 + 7. Solve m + 1 = -t*f, -3 = j*m - 23 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10460 - 6961. List the prime factors of o.\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**4 + m**4 + 3*m - 5*m + (-6 + 6*m + 6)*(-6*m**3 + 2*m**3 + m**3) in the form w + n*m**4 + o*m**2 + b*m**3 + g*m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -5 + 21\/9)*869700. What is q rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 20*h = -13*h + 707446. Calculate the remainder when h is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2562259?\nAnswer: 7, 52291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386*o - 4*w - 14 = 1391*o, 3*w - 7 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440)*-3 + sqrt(70)\/(sqrt(7) + sqrt(63)\/sqrt(9)))\/(1*(sqrt(245)*-1 - (sqrt(5) - sqrt(605)*-1))).\nAnswer: 71*sqrt(2)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*j = -8*j - 127, -w - 3*j - 37 = 0. Let z = -7 - w. Let c = -42 + z. Solve 2*b - b - 2*h + 4 = c, 2*b = 5*h - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 31\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 + 21175792.\nAnswer: 21175791.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a + 21. Let t(n) = 155*n - 295. Let p(f) = 4*t(f) + 55*w(f). Let h be p(-4). What is h rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 11 = 0. Let n = 11 - s. Suppose n*j**2 + 1\/4*j - 3\/4*j**5 - 2*j**4 + 0 - 3\/2*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(150) - sqrt(6))\/sqrt(3).\nAnswer: -1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -2, -46, 0.3, -0.05, 66?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - ((-406)\/4669 - (-2271)\/(-69)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.802 - -0.902. Put 2, -11, n, -5 in decreasing order.\nAnswer: 2, n, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20 + 184*f + 13 + 6. Is z(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 35 = p. Let r(o) = o**3 - 8*o**2 + 7*o - 4. Let n be r(p). Which is the second smallest value? (a) n (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.043 - 19.09307?\nAnswer: -17.05007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -9957730?\nAnswer: 9957729.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 6:09 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -23, -46, -67, -80, -79, -58, -11?\n\"Answer: x**3 - 8*x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 8. Calculate the smallest common multiple of 46 and j(2).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0.4. Let o = -2 - -3. Let w = 0.01 - -4.99. What is the smallest value in o, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/3 - 8*m**4\/3 - 22*m**3\/3 - 4*m**2 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -61*l**4\/12 - 3*l**2\/2 - 3*l + 235. Let o(h) = -60*h**2 - 2. Determine -3*o(w) + 2*q(w).\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 278*z + 633. Let v(s) = 92*s + 211. Let l(k) = -8*v(k) + 3*x(k). What is the first derivative of l(g) wrt g?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**3 + 6140720*y**2 - 6140705*y - 12281430 = 0.\nAnswer: -1, 2, 1228143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let p be (2\/(-4))\/(-11 - 6588\/(-600)). Suppose -10 = -3*q + 2*a, 5*q + a = -4*a + p. Solve -11 = -q*r + t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(((-6)\/(-2))\/6). Suppose r = -2*g + 7*g. Suppose -6 = -g*q + 2. Solve -q = x - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25218 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13384449.1500341 + 13384450. Let j = 0.85 - c. Round j to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from xomyh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 146 + 6. Suppose 0 = -3*k + 50 - y. Suppose u = k*u. Solve u*b + 8 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95436647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-4)\/(-160)). Let q be (-30)\/(-7) - 6\/21. Suppose -5*h = -u - 22 - 35, q*h - 51 = -u. Calculate the highest common divisor of f and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 1208?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*m, 4*j + 0*m = 3*m + 17. Suppose 0*v - 3*k = -3*v + 129, j*k - 13 = -v. What is the highest common factor of 76 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8911*w**3 - 4458*w**3 - 4456*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v - q = 21, 4*v - 4*q = 20. Solve 0*s + 4 = -v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 9) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.16 and 2.61358.\nAnswer: -5.6453328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -4)\/((-2)\/(-8)). Let j(q) = -u*q + 5*q - 6 - 4 - q. Calculate j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m - 5. What is the second derivative of -c - 3*c - c + 0*c + m*c**2 wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-8)\/(-8))\/((-6)\/4 + (-13128)\/(-8751))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - g. Suppose 7*c - 10*c = -15. Suppose -3*b = 2*b - c. Let m be v(b). Solve -2*n - 12 = 3*k, -3*n - 1 - 2 = -m*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((15\/(-10))\/(-1))\/(3\/8). Solve 5 = -c*j - 5*u, -2*u - 2 + 0 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-22)\/(-396)*6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -58. Let k be (-4)\/u*(13 - 12). Put -1, -4, -2, k in increasing order.\nAnswer: -4, -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -737604 divided by -9?\nAnswer: 81956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from dbgbjoobbb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23375551?\nAnswer: 331, 70621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 27*b**3 - 216*b**2 + 384*b - 3188. What is k(8)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c, 3*u = 4*c + 4597 + 18316. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 37 = 5*j, 6548 = -o - j + 6543 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(121)\/(1*sqrt(1584)) + -3*(sqrt(396) + sqrt(396) + 6*(sqrt(396) + 5))**2.\nAnswer: -78732 - 25919*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24.7 in -6\/43, 1, 4\/7, -2\/11, -116?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 744225 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249351 is divided by 83105.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11911728 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 4*v**2 - v - 2. Let t = 4 - 11. Let c = t + 4. Does 10 divide a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110001000000001010011 + 1000?\nAnswer: -10001110001000000001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 30. Suppose 3*i - 2*i + 9 = -4*a, -5*i + 5*a + 5 = 0. Let z = r - i. What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((64\/(-12))\/4)\/((-8)\/12). Let p be 39 + m + (-4)\/(1 + 3). Let r(d) = d**2 + 11*d + 5. Let c be r(-11). Calculate the greatest common factor of p and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(76 + 7*c - 7 + 40 + 17).\nAnswer: 7*c + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = -68 - 156. Solve -11 = -4*c - z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/79022087?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1*(-3)\/4)\/(9\/(-286)) and -38\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18683, 37377, 56083, 74807, 93555, 112333, 131147?\nAnswer: 150003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 288.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x**2 + 2 - 2*x + x**2)*(3*x - 2*x + 2*x).\nAnswer: -3*x**3 - 6*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756\/882*14\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255 + -253. Differentiate -9*v**2 + v**3 + 1 + 1 + 2*v**a + 66 with respect to v.\nAnswer: 3*v**2 - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -210, 57, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 39 = 7*q, 19 = -3*q - c - 0*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.466 + -8.466. Let o be ((-5)\/(-3) + -2)*-1. What is the closest to -1\/4 in o, t, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15882\/5 (b) -4\/9 (c) 3\/2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by 166.\nAnswer: -59\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1011*c - 12 = 1007*c - 3*u, 0 = -3*c - 4*u + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1524, -3051, -4578, -6105, -7632?\n\"Answer: -1527*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*c, 0 = 2*n + c + 4 - 8. Let t(k) = -3*k**2 + 5*k - 4. Calculate t(n).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6\/11*p**3 - 26\/11*p**4 + 32\/11*p**2 + 8\/11*p**5 - 8\/11*p = 0. Calculate p.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and -540849.\nAnswer: -540849.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 3956.\nAnswer: 1186.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78897662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10575778*g**2 - 3293183*g.\nAnswer: 21151556","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 1.52 * -0.0912\nAnswer: -0.138624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304866220.\nAnswer: 2, 5, 15243311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -532.8 - -573. Let o = z + -40.6. Which is the second smallest value? (a) o (b) 5 (c) 4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**4\/4 + 4*i**3\/3 - 5*i**2\/2 - 7. Let k be y(-4). Let h = k + -4. What is the smallest common multiple of 10 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -324c - -1?\nAnswer: -324b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(3\/11)*y)\/y)\/((y\/(y\/y**(1\/6)))\/y))\/(y**(-1\/16)\/(y\/((((y*y**(-2\/7))\/y)\/y)\/y))))**(1\/7) assuming y is positive.\nAnswer: y**(18143\/25872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 736528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 8:47 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -41 + 30. Let s be (2 - (-5)\/(-6 + v))*2. Determine j so that 1\/3*j**s - 1\/12 - 1\/4*j = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - x**2 + x**2)*((-4 - 2 + 5)*(0 + 1 + 1) - 1 + 3 + 5 + 2 + 43 - 171 - 49).\nAnswer: -170*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.05, 0.4, 66.48?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -40, -5, -8, -1373 in descending order.\nAnswer: -5, -8, -9, -40, -1373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = 0, -2*l = -5*l + 4*j - 12. Let z be (l + 2)*1 - -3. Solve -z*p = -w - 20, 2*w + 13 = -3*w - 4*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*a - 18 = 0, a + 494 - 506 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + -87) - (-3264 + 3301).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 6589.\nAnswer: 65890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 3*x = -40. Let h(v) = -v + 4*v + 29*v**2 + 1 - 4*v. Calculate the remainder when h(1) is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 258*r - 12973. Calculate k(-122).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.4 - -5.396. Let h = 5.004 + c. Sort 0.7, h, -0.2, 0.2 in ascending order.\nAnswer: -0.2, 0.2, 0.7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 - 65*b**2 + 19*b - 230. Let v = 17 - 10. What is the remainder when o(13) is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -608171741\nAnswer: -608171740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -72. Let l be 1\/(-1) + (18\/(-3))\/f. Let w(z) = -z**2 + z + 12. Is w(l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2*c - 2*c + 2*c) - 3*c + 3 - 3 + (-585 - 374 + 552)*(-c - c - 2*c).\nAnswer: 1627*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8\/110*625\/1850*-37\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -281.2 times -5\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*z - 188*z - 36 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*k + 3*i, -2*k = 7*i - 2*i + 1. Let u(t) = t + 10. Let x be u(k). Solve -4*f + x*f - 14 = 4*m, 3*f - 4*m + 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/60)\/((-2)\/57). Let w(k) = -3*k - 55. Let q be w(m). Put 24, -3, q, -1 in decreasing order.\nAnswer: 24, q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/8 (b) -4 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 20*g**2 + 29263612*g - 29263612*g. Let y(b) = 610*b. Determine y(f(j)).\nAnswer: 12200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 + 1615875\/4587 + (-7)\/22*2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2850\/7 - -54059\/133. Find the common denominator of 31\/30 and c.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -43. Calculate the remainder when 47 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - 8589*x - 4*x**2 + 3140*x + x**2.\nAnswer: 2*x**2 - 5449*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqqjjjqfqjj. Give prob of picking 3 f.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/(1503\/495 - 3). What is the tens digit of z\/((-34)\/45 + 12\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -197 + 683. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {e: 9, t: 2, g: 2, z: 6}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 17366.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-9)\/108. What is the nearest to r in 0.3, 2, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-486 - -485)*1\/(-2)*64?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 313621222 and 274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 78994405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6\/7)*q\/(q\/q**6)*q*((q\/(q\/q**4*q))\/q*q*q)\/q*q**2*(q**(5\/3)*q**(-4))\/(q*q\/(q**(-2)*q))**(5\/7) assuming q is positive.\nAnswer: q**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.54*-131.43.\nAnswer: 2831.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:01 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 - 1927296*m**3 - 23127936*m**2 - 92512256*m - 123350016 = 0.\nAnswer: -4, 481836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 19 - 14)*((2 + 1 - 4)*(-4*y + 0*y + 3*y) - 1 - 2*y + 1).\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003015 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -5, 24, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (30\/1)\/(-3 + 2008\/664)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*l = 156, -4*d - 2*l + 214 = -l. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.004, 0.01, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:43 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (73\/77 - 42\/49)*-2. Which is the fourth biggest value? (a) 1 (b) -512 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from tttjtjttttt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + 11. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 5:15 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from wyyywew?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:25 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -902*u**2 - 90 + 657*u**2 + 31 + 26 + 33.\nAnswer: -245*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -872, -1287, -1668, -2003, -2280, -2487?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 24*p - 57. Let m = -18 + 29. Calculate the remainder when c(5) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**2 + 720*n - 249. Determine r(-66).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 36*m**3 + 160*m**2 - 36*m - 162.\nAnswer: 2*(m - 1)*(m + 1)*(m + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + 2*w - 1. Let a be n(0). Sort 3, 5, -9, a.\nAnswer: -9, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4*s - 68738533*m**2*s**2 - 13*m*s + 261*m + 148*s**2 wrt m?\nAnswer: 24*m**2*s - 137477066*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -51\/112 (b) -0.2827 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1237 + -1233. What is the greatest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5640 and 15.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = 25. Let i be z\/(-10) + (-49)\/(-2). Suppose 0 = -2*f - 5 + i. What is the least common multiple of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 72*w + 88. Let n be z(-37). What is the greatest common factor of n and 385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*2\/(-50))\/((-18)\/60).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 16*r - 12. What is the second derivative of 41*f + 69*f**4 + 18*f**r + 8*f wrt f?\nAnswer: 1044*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*k - 43, -5*k = -10*f - 10974 + 11059 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.664855 to two dps.\nAnswer: 5.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (27\/15)\/((-270)\/(-30))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -10, -0.3, 2\/151 in decreasing order.\nAnswer: 2\/151, -0.3, -10, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3224 - 12895\/4. What is the nearest to g in 24, -0.7, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -634*h + 1412*h - 651*h + (4 - 4 + 2)*(0*h - 6*h + 4*h).\nAnswer: 123*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/12 - 9*((-650)\/(-60) - 11).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from jhch?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.8 + -6.656. Is w at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(30)\/sqrt(2))\/sqrt(3) + sqrt(20)*4 + sqrt(40)\/(sqrt(16)\/sqrt(2)))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1801 + 3511. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 1. Let n(w) = -w**2 - 7*w - 4. Let r be n(-4). Let h(s) = -s**2 + 8*s - 4. Let t be h(r). Calculate d(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11091760, 22183518, 33275276?\n\"Answer: 11091758*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c*(((c\/c**(-1))\/c*c)\/c*c*c)\/c))\/c)**(-21\/5))**(-1\/41)*(c**(2\/13)*c*c**(2\/3))\/(c**5\/(c\/(c*c\/c**5)*c)) assuming c is positive.\nAnswer: c**(12917\/7995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w + 27*w - 16*w**2 - 59 - 12*w + 2*w**3. Is a(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -41\/4188828?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -1928625418.31086.\nAnswer: -1928625418.51086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -42*s**2. Let b(y) = -1260802*y. Determine l(b(h)).\nAnswer: -66764110694568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - -0.56. Let n = 0.9600041 - v. Round n to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 458 + -458.007645. Let o = -0.177 - -0.17. Let d = o - x. What is d rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260455 + 15281 = 5941*n - 13475 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0, -1\/6, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 77 + 7. Let z be ((-74)\/(-6))\/(1\/3). Let g = x + z. Solve -4*j + 3*t = g, -4*j + t = -t + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2233578 is divided by 580.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 - 2*w**5 - w**5 + (5 - 5 + w**3)*(1219*w - 102*w**2 - 1219*w) + 28*w - 28*w + 10*w**5.\nAnswer: -95*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 120*q - 700 = 0 for q.\nAnswer: -14, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 - -136. Suppose -2*l + l - 36 = 2*m, 3*m = -2*l - 68. Let b = d + l. Solve -b*u = 4*q - 8*u, u - 15 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 979448861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3422790 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 65\/2. Sort i, 0.4, -3 in ascending order.\nAnswer: -3, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h + 5*b = -34*h + 2*b + 18, 29*b = -9*h + 24*b + 46 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(32)*2 + -1)**2 + 1 + (sqrt(2) - (sqrt(2) + -1)) + -5).\nAnswer: -126 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1833 by -13.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 211*l + 3461. Give f(18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 64. Let v = -19 - j. Solve 0*c + v*c - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - (10 + 21 + -24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-3))*(19 + -3 + -15).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/81)\/(1 + (-7)\/3). Which is smaller: v or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:49 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 192 - 2708 = 0. What is the greatest common factor of 58 and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, 0, 116 in increasing order.\nAnswer: 0, 116, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 + 13*v - 17*v - 3*v**2 - 2. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -14. Suppose -5*t + 104 = s - 4*s, -92 = -a*t - s. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 + 270033843*c + 24306092121782883\/2.\nAnswer: 3*(c + 90011281)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let n be 6*((-8)\/o)\/2. Let f(s) = 2*s**2 + 5*s - 5. Is f(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3075 and 5?\nAnswer: 3075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/(-2)*1*30. List the prime factors of 4227\/f + (-60)\/72.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -874 + -1 + (1 - -3). Let r = k - -9593\/11. Is r >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*h + 2399, 0 = h + 2*h + 5*y - 1417. Suppose 2*l + 4*i = 488, 0 = -0*l + 2*l + i - h. What are the prime factors of l?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -0.129944. What is l rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {s: 2, c: 2, e: 1, h: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4093 divide 198678313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -97. Let w(s) = s**3 - 3*s**2 - 2*s. Let f be w(3). Let y = 8 + f. What is the lowest common multiple of o and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 1. What is r(-18)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -884520 + -51885\nAnswer: -936405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*((-36)\/(-15))\/3. Let k = a + 9. Let n be 2 + -3 + k*4. Solve 16 = -n*x - x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -19*n + 4*t + 4632, 4*n = 5*t + 6176. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*x + 1255 - 5046 + 1096 - 6539 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -118081 (base 9) to base 4\nAnswer: -101131123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/15)\/((-3)\/15). Suppose 6*k = w*k - 3. Let x(o) = 0*o - 5*o - 3 + 5 + k*o. Calculate x(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/580 and -24\/7.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -31*z**2 + z + 19683. Let y(n) = 10*n**2. What is p(y(v))?\nAnswer: -3100*v**4 + 10*v**2 + 19683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 0*k**2 + 0*k**5 + 0*k**4 - 39\/5*k**6 + 33*k - 2 + 127\/6*k**3. Find the second derivative of p(c) wrt c.\nAnswer: -2808*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 204997?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2\/2 - 5*r - 2. Let d be v(4). Let t be d\/(-4) - 14\/(-8). Solve -2 = -3*c + t*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/28 and -149\/66828.\nAnswer: 467796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 6504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 1.10472407.\nAnswer: 4.89527593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (237 - 146) + (-197 - -37)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105840227, -105840228, -105840229, -105840230?\nAnswer: -105840231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86752 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2790077 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4239 + 7932 + 8104 - 3172 - 1213)*(-1 - 2*w - 1 + w) to the form r*w + f and give f.\nAnswer: -31780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -166*a**3 - 226*a**2 + 6062*a + 6. Let j(h) = -138*h**3 - 225*h**2 + 6060*h + 5. Let o(x) = -5*f(x) + 6*j(x). Factor o(s).\nAnswer: 2*s*(s - 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/12 + 977*l**2. Let s(q) = 251*q. What is s(m(n))?\nAnswer: -502*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(448) + 1 - sqrt(448)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*d - 3*c - 15, 2*c = -6. Suppose d = 4*f + x - 1747, -3*x - 2183 = -5*f - 4*x. Suppose 5*y + 2*i + 81 = f, 0 = -3*i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506995300 rounded to the nearest 1000000?\nAnswer: -507000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**2\/4 + 57*m\/4 + 99\/2 = 0?\nAnswer: -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/90*(32\/72)\/((-96)\/180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 10*f - 375. What is o(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y - s - 38, -6*y + 8*y = 3*s - 6 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155536 (base 7) in base 14?\nAnswer: 6cd8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -16003067?\nAnswer: -16003071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -6 (b) 1.6 (c) -1\/2 (d) -0.0164 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 150*f**2 - 150*f**2 + 3.\nAnswer: 2*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 0*h + 4*h + 21, 189*h = 4*w + 188*h - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -2*h. Let y = -118117 + 118119.12. What is the smallest value in h, y, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3592550397?\nAnswer: 3, 229, 5229331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -50472191 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = 5*j + 16, -3*l = -3*j - 15. Suppose 2*n - 4*k - 14 = 0, 17 = 3*n + 6*k - 11*k. Sort n, 3, l, -29 in increasing order.\nAnswer: -29, n, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * -19.83.\nAnswer: -773.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 4, e: 4, o: 1}. Give prob of picking 1 f and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlyltlyjtttlttt. Give prob of picking 1 q, 1 y, and 1 t.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224317?\nAnswer: 224317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.30262548 rounded to 0 dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 118270 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-2) + -1 + -2 + 80. Let u = c + -43. Let m = 2 + 1. Solve 5*d + 3*x - u = 0, -3*d - m*x = -26 + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-5*b - b + 4*b) - 12 - 2*b + 7 + 6.\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 429496500 a multiple of 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)\/((-1)\/1). Suppose -4*o - 23 + 31 = z. Let p be 28\/7 + 2 - 2\/o. Solve x + 2 = -p*i, 4*x + 1 - 8 = -5*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7422275 divided by -2905?\nAnswer: -2555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 8*l - 2. Let d be v(8). Let x be (3\/d)\/(12\/272). Let j = -23 - x. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*1\/21*450\/(-20). Let x = l + 67\/56. What is b in x*b**3 + 0 - 1\/4*b - 3\/8*b**2 + 3\/8*b**4 + 1\/8*b**5 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**2 + 9*h**2 + 10*h**2 - 18*h**3 - 7*h**2.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4102 = 15*p - 4237 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t**3 + 14*t**2 + 37*t + 28. Let p be c(-2). Let o be -1*2*87\/(-6). Calculate the greatest common factor of o and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -1 - (7 - -4 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*((p\/(p*p\/(p\/(p**(2\/29)*p)))*p)\/p)\/p)*p)**(3\/13)*p*p**(-2\/27)*p*p**(-1\/43)*p assuming p is positive.\nAnswer: p**(1580477\/437697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 175 = -4*v. Suppose 2*m + 25 + v = 2*l, -3*m = 9. Suppose 5*i - 2*i = l. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 8*a**2 + a + 14. Let r be n(-7). Let z = 65 - r. What is the third derivative of -32*k**2 + 54*k**2 - 8*k**5 - 10*k**5 - z*k**5 wrt k?\nAnswer: -1620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.946832s to microseconds.\nAnswer: 946832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 16, l + 0*l = p - 42099996. Round p to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23526000 rounded to the nearest 100000?\nAnswer: -23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 246700?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -m + 27*b - 32*b, -3*b = 0. Calculate the remainder when 62 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 640, 1231, 1822, 2413, 3004?\n\"Answer: 591*a + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/((-82)\/(-2132)). Calculate the highest common factor of q and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -306655 + 17?\nAnswer: -306638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/9 (b) -5 (c) 4 (d) 1\/3 (e) 35533\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1044352 and 163777?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6, i - 6 = -b + 7. Suppose q - 3*q - b = 0. Let c(y) = 6*y**3 + 2*y**2 + 3*y - 5. Let s be c(q). What is s rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - x**2 - x**2 - x + x - 2*x**2 - x + x + 4*x**2 + (-4*x + 9*x - x)*(-2*x - 2*x + 5*x) to r + g*x**2 + s*x and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 7:31 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100000 (base 2) in base 15?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (2 - 3) - -2. Suppose b + b = -r. Let d = 1 - b. Sort 2, d, 0 in decreasing order.\nAnswer: d, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/757080 and -111\/160.\nAnswer: 3028320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 7. Let k(p) = -164*p + 60. Give k(o) + 5*t(o).\nAnswer: -159*o + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/10))**(2\/3)\/(k**(-2)*k*k*k**(-2\/9)*k))**(-2\/33) assuming k is positive.\nAnswer: k**(52\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57\/5 of a century?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*b + 9*b + 12, -2*a = -b - 3. Let -1\/3*h**2 + a*h + 0 = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from tqaaaqtqataaq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -14*y - 1384. What are the prime factors of y?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoeqvouxv. Give prob of picking 1 x, 1 q, and 1 e.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let b(q) be the first derivative of 4457*q**2 - 4232. What is a(b(x))?\nAnswer: -79459396*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/3 - 109876*r\/3 - 219776 = 0.\nAnswer: -6, 54944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/(b**1*b))\/(b**(-1\/4)\/b*b)**(1\/6) assuming b is positive.\nAnswer: b**(-239\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 5*q + 2*q + (3 - q - 3)*(1 - 4 + 2))*(2360*q**2 - 73*q**2 + 1666*q**2) in the form j*q + g*q**3 + a*q**2 + n and give g.\nAnswer: -3953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.1 - -24.5. Let u = 27.4876 + p. What is u rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*k - 67*k + 32*k. Suppose 6*z + 14*z - 120 = k. Solve -2*x = -5*x - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y**3 + 333*y**2 - 361*y - 112. Calculate j(-23).\nAnswer: 1843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 421*w**3 + 5054*w**2 + 51*w + 328. Determine b(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9370 = 41*z - 11212. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 208198.\nAnswer: 624594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*i - 303*i + 105*i = -97*i + 4*q + 58, 2*i - 70 = 4*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -18. Let n = -11.5 + r. Sort -1, n, -3.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1278 and 113\/24.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 75.49.\nAnswer: 5.2843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3286, 3232, 3174, 3112?\n\"Answer: -2*j**2 - 48*j + 3336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 65424*v + 1503694.\nAnswer: 2*(v + 23)*(v + 32689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 8166259693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -19357270 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/6 + 7*v**3\/6 + v**2. Differentiate c(w) with respect to w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 73*r + 62*r + 7 + 31*r - 18. Let f be b(-16). Let q = -1352 - f. Is q 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 8:23 PM and 3:35 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from ixigfsfs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1040772 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*v + 7*v - 10, -2*n - 4*v = 2. Suppose b + n*r = 6, -b - r = r - 3. Let p be (-4)\/(-10)*(4 + b). Solve 3*a - a = -p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -2326\/121?\nAnswer: -2326\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2780)\/(-10425))\/(3\/(-10)*-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 50 - (-15 + -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -86*l - 43 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 110, 119, 130?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17667 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-5 - -11) + (0 - 3 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*c + 49 = 3*h - 193*c, 6*c - 12 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*p + 7*p - p)*(-1 + 5 - 1)*(6 - 5 - 6) to k*p + d and give k.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 11*q - 605 = 0. Suppose 5*p - q = -6*p. What is the remainder when ((-6)\/(-4))\/(9\/120) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 11*n**2 - 116*n + 145. Let q(h) = h**3 + 6*h**2 - 59*h + 86. Let u(j) = -5*q(j) + 3*v(j). Give u(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 692 and 2.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/8, -0.7, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v - 182 + 907 = 0. Solve 64 = -13*i + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and (48 + -62)\/(1\/(-52)).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 1, u: 4, o: 2, q: 1, t: 2}. What is prob of sequence aqr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 228?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 27 = 15. Suppose 0 = 2*u - 3*m - 28, -j*u + 59 = 5*m + 3. What is the greatest common divisor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 128?\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/1 + (12\/(-3))\/(-4). Let j = 41 - g. Suppose 14*s - 15 = j*s. What is the remainder when 103 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -101*x - 1214. Let i be h(-16). Does i = 398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 86. Suppose -6 = 8*j - 3*j + 4*f, -2 = -m*j - f. Put j, 5, -2 in increasing order.\nAnswer: -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ccddwcddcywdccbdcd.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1\/3, -0.4, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0874685313 plus -0.2?\nAnswer: -0.1125314687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 109*f**4\/4 - 103*f**2\/2 + 2*f + 131. What is the second derivative of q(n) wrt n?\nAnswer: 654*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 93?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0403 and 2129.\nAnswer: 2128.9597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9938797 + -10.\nAnswer: 9938787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-4) + 4\/(-8). Let b be 5\/2*6\/5. Suppose 4*k + 12 = 4*u - 0*k, -b*u = -r*k - 13. Do u and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28481 - 28482. Which is the fourth smallest value? (a) -0.1 (b) -5 (c) m (d) 3\/4 (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 14. Let f be k(8). Suppose -f = -a + 6. Calculate the highest common factor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 163\/7. Let k = 1.8 - 2. Let n = -6 + 4. What is the nearest to k in -5, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 59980 = -8*g, 5*g - 37510 = -2*l - 3*l. What are the prime factors of g?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (209 - -4)*(-1 + 18). Calculate the common denominator of 1\/18*l\/34 and -107\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from nnnnnnnnnnoonnnnnoo.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9760*m**5 - 43648*m**4\/7 + 1398*m**3\/7 + 3407*m**2\/7 - 572*m\/7 + 12\/7 = 0. What is m?\nAnswer: -2\/7, 3\/122, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 571 = -i + 1191, -g - 4*i = -860. Solve 3*a + 899 = g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*z, 31594 - 84080 = -4*y + z. Is y a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2596969*a**3 - 1989343*a - 2 wrt a.\nAnswer: -15581814*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74 * 5\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 2 - (-71 + 152 + -98 - (-1 - 22))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((-310)\/186).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 47*v - 1 + 52*v + 0*v + 2*v - 3*v + (-v - 2*v + 5*v)*(1 + 0 - 3) - 5*v + v + 3*v.\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7024, -7061, -7130, -7237, -7388, -7589?\n\"Answer: -y**3 - 10*y**2 - 7013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 3. Let v be o(6). Suppose -5*p - 16 = -2*i, v*p + 13 = i - 2*p. Solve -13 = i*r + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 0.6293, 3\/13, 0?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13979.3145709 minus -0.1?\nAnswer: -13979.2145709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 38. What is the smallest common multiple of j and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*10\/(-30)*-1*(-42)\/(-28). Find b, given that 9\/2 - 1\/4*b**3 + a*b + 1\/8*b**4 - 11\/8*b**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-752)\/(-18). Suppose 2*p + k = 4*p. What is the second derivative of 21 - 5*m**2 - p - 3*m wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1207 + 9356. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 3:35 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1944424 divided by -486106\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7465.\nAnswer: 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -19bd7?\nAnswer: 19be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfvvhhahqvva. What is prob of sequence af?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12672*-0.2.\nAnswer: -2534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -2763.2?\nAnswer: -8289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f + 4. Let a be (-3)\/(-12) + 46\/8. Let r(k) = -k. Let i(h) = a*r(h) + q(h). Let x = -1 + 1. What is i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5691.\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 69. Let r = 72.000057 + v. Round r to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 4:16 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-9 + 8) - -1247655 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*j - 0*j - 516, 3*l - 3*j - 387 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145051337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1488, 1493, 1514, 1557, 1628, 1733, 1878, 2069?\n\"Answer: k**3 + 2*k**2 - 8*k + 1493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.443 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 649613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349524?\nAnswer: 2, 3, 7, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -4*o - 4*q, 3*o = o + 5*q + 151. Let w be (-6)\/(-8) - 26\/(-8). Suppose -2*k + 46 = -w. Calculate the remainder when o is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 245194120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73967 is divided by 24533?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -167, -11, -12, -6 in descending order.\nAnswer: 14, 1, -6, -11, -12, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 15 = -17*t, -5*i = -2*t + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:19 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) -2\/9 (d) -18 (e) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*f**3 + 243*c*f**2 - 123056*c*f - 112462*f**3 + f**2 + 290*f wrt f.\nAnswer: -6*c*f + 486*c - 674772*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-93.\nAnswer: -20.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -46*h**3 - 2*h**2 - 4*h - 18. Let j(m) = -231*m**3 - 11*m**2 - 22*m - 92. Determine 11*c(w) - 2*j(w).\nAnswer: -44*w**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/5 + 22*j**4\/3 + 50*j**3\/3 - 92*j**2 + 4*j - 26. Factor v(b).\nAnswer: -4*(b - 23)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**4\/12 + z**3\/6 + 3*z**2\/2 - 2. Let x(y) be the second derivative of a(y). Give x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-97)\/(174600\/(-144))*20\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -0.14. What is the closest to 0.2 in -2, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 567?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/24 + 5*t**3\/6 - 6*t**2. Let a(c) = -c - 4. Give 4*a(p) + 3*f(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.64, 15\/11, -1, -3, -0.3?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 8. Let s be q(-5). Suppose -3*p + 347 = 2*y, -s*p - 2 + 11 = 0. What is the greatest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -523443*u**2. Let r(w) = -w**2. Determine r(m(v)).\nAnswer: -273992574249*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5932269, 11864420, 17796571, 23728722, 29660873, 35593024?\n\"Answer: 5932151*t + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (8 - 7 - -4) - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m = -94*m - 25*m - 450 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 28891.\nAnswer: 114\/28891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1011*l. Let k(o) = 4*o**2 + 158*o + 91. Calculate w(k(g)).\nAnswer: 4044*g**2 + 159738*g + 92001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlor when four letters picked without replacement from {o: 1, b: 3, j: 1, n: 3, l: 1, r: 2}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-3*1*sqrt(133) - sqrt(133) - sqrt(133)) + sqrt(133))\/((sqrt(252) + sqrt(28))\/sqrt(4)) + 4 + 2)**2.\nAnswer: -22*sqrt(19) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -201287 at most -201290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 3*c**5\/20 - 2*c**4\/3 + c**3\/2 + c**2 - 1553*c. Suppose x(s) = 0. Calculate s.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**1)**(1\/27)\/((b\/(b*b*b**6))\/b*b*b**(1\/4)*b*b))\/((b**(2\/7))**(1\/38)*(b*b**(-4\/5))\/(b**(2\/25)*b)) assuming b is positive.\nAnswer: b**(2072233\/359100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104.913 + -105. Let n = 2176.1 - 2176.18747. Let c = n - j. Round c to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-21)*7\/168)\/(6\/(-48)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 - (-57)\/(-95)*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -23, -19006, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Suppose 6 = -3*j + 5*j. Let p(q) = j*q - q + 2*q - q. Determine w(p(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 153.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23806 + 29496 - 2*c**2 - 42625 to v + x*c**2 + y*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 5. Let k = -11 - -14. Suppose 3*u + n = 3*n + 22, k*n = 2*u - 23. Give z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5681*s**2 + 5*s - 45. Let v(x) = 2841*x**2 - 3*x + 27. What is -3*k(b) - 5*v(b)?\nAnswer: 2838*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -3\/2 (c) -7.4923978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n + 7. Let w(j) = 5*j**2 - 25*j - 107. Let f be w(8). Let c(r) be the first derivative of r**2 - 3*r + 1. What is f*c(z) + 6*q(z)?\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, p: 4}. Give prob of picking 2 p and 2 j.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 97297?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 3*z - 5. Calculate b(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 1\/2*x**3 + 0*x - 1\/4*x**4 + 0 - 1\/4*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m - 38277 = -10515. Is -659 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 42643461*l\/2 + 1818464766058521\/4.\nAnswer: (l + 42643461)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19bb2a27 - 5?\nAnswer: 19bb2a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f + 3*f**3 - 4*f**2 - f**3 - 5*f**3.\nAnswer: -f*(f + 2)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 39. Let w be r - 5\/((-5)\/3). Suppose -2*y = -k - 3*k + 268, -2*k - w*y = -134. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1085 and 20965?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03162 and 0.1625.\nAnswer: -0.00513825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*m - 0*m + 27, -3 = -m. Let u = j + -10. Suppose -40201 = 3*r - v, -4243 = -u*r + 3*v - 31046. What is r rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378264 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 + 5*x. Give c(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32857 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 11. Suppose -13 = -3*z - b. Let -2\/7*f + 2\/7*f**z + 0 + 0*f**2 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10079, -82790, -280779, -666686, -1303151, -2252814?\nAnswer: -3578315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-6\/7)*h**20 assuming h is positive.\nAnswer: h**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/((-22)\/22)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/1737 (b) 1 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 15. Let s(f) = -11*f + 21. Let k be s(x). Let i = -113 + k. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -41, -67, -99, -137, -181?\n\"Answer: -3*t**2 - 11*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 14. Let s(d) = 2*d. Let u(q) = -3*q. Let c(t) = 3*s(t) + 3*u(t). Determine c(a(f)).\nAnswer: 3*f + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 961849*s**4 - 41*s**3 - 3649*s**2 - 1372*s + 2 wrt s?\nAnswer: 23084376*s - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 11*f**2 - 10*f + 22. Let l(x) = -x**2 - 8*x. Calculate the smallest common multiple of r(-11) and l(-4).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 6.4 (c) -4 (d) 1\/35 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -19\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/15 - (-4)\/(-20). Solve 3*i - 5*l = 10, q*i - 3*l - 25 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237 + 261. Suppose -15*t = -k*t + 1134. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 105*l - 628. Let a be b(6). Let s(r) = -2*r - 6. Let i be s(-5). Solve -a - i = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -566*u + 1144*u + 7*u**2 + 9*u**2 - 4 - 579*u. Give v(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29770285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 1.8. Sort -3, 2\/7, q.\nAnswer: -3, q, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/121 + (-676153)\/(-515075)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -5\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 6, 20964 in increasing order.\nAnswer: 2\/3, 6, 20964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1643048 and 332.\nAnswer: 136372984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b + 3. Let v be a(-3). Let r(h) = h**3 + 13*h**2 + 13*h - 2. Is r(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37199 + 4?\nAnswer: -37195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g. Let u be h(1). Let z be 128 - (-1 + 2 + u). Suppose -i + 173 = -z. Round i to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139672007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/9 - 796*n**3\/3 - 9485*n**2\/9 + 40546*n\/3 + 14304 = 0. What is n?\nAnswer: -2384, -9, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 7*t**2 + 7*t - 6. Let d be i(4). Suppose d*v = 3*v + 288. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2103*p - 4650 = -69843 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -9 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (55 + -32 - 54) - (15 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223489.35 months in decades?\nAnswer: 1862.41125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7734583349 to the power of 1\/4, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 14. Give k(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 14. Give u(12).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/660 + 11*b**5\/10 - 241*b**4\/44 + 361*b**3\/33 + b**2 + 4862. Factor n(f).\nAnswer: -2*(f - 361)*(f - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) 0.087 (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**2*n**2 + 502026*d*n**2 - 3043634*n**2 wrt d?\nAnswer: 6*d*n**2 + 502026*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11.36, 2\/15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147172004249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1068 + 4271\/4. Let c be 2\/14*(-9)\/3. What is the nearest to -118 in c, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjbn when four letters picked without replacement from nbbnbbnbjbjbbbbjbn?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*z - 2, 2 = -2*z - 2. Let j(v) = 4*v + 1. What is the remainder when (-2)\/(-6) - 294\/(-9) is divided by j(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (54 + -9)) + (7 - 2) + -10\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -18. Sort -1, 3\/5, 2, m in ascending order.\nAnswer: m, -1, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230 - 233.96. Let c = -4 - l. Let a = -0.06 + c. Do a and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*c + 5*c - 10, -3*p + 2*c + 22 = 0. Solve 0 = -p*l + l + 4*r + 8, l - 4 = 2*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 0*y - 564*y**2 - y - 44*y**2 to m*y**2 + x*y + r and give m.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 20 - 46. Let k be o\/(4 + 72\/(-20)). Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 3. Let n(l) = -7*l + l**2 + 4*l**2 - 3 - k*l. Is n(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10977, 43876, 98701, 175446, 274105, 394672?\nAnswer: 537141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*y**3 + y**2 - 1446*y + 47172 wrt y.\nAnswer: -39*y**2 + 2*y - 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -276900053*-0.3\nAnswer: 83070015.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/((6 - 11)\/25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -55*o - 258. What is the remainder when 83 is divided by x(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2010768 and 616800.\nAnswer: 100538400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6257c - -4?\nAnswer: 62581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/(-4)*(-38)\/19. Suppose 0 = -5*r + 8*r - n. Let h be 9 + (-9)\/(r\/3). Solve 5*i + 2*s = h*s - 20, 2*s - 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 317948, 2, 1, 0.31, 2\/3, -0.01, 5?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 22*v**2 + 18*v - 59. Give a(3).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48184661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-1 + 1 + 2)*(-2*s + 3*s + 2*s) + (-1 + 2 + 0)*(33*s - 18*s + 24*s)*(0 + 2 + 0).\nAnswer: 84*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 32. Let w(l) = -l - 16. Determine 2*b(k) - 5*w(k).\nAnswer: k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2270, 18165, 61296, 145277, 283722?\nAnswer: 490245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -220118 or -221962?\nAnswer: -220118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z. Let v(y) = 48279*y**2. Calculate v(g(q)).\nAnswer: 4827900*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*z**3 + 2*z**3 + 2*z**3)*(-33*z + 47*z + 86*z).\nAnswer: 3900*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -102*u + 2. Let z(g) = -8*g - 10. Let t(v) = 2*v + 3. Let b(r) = 10*t(r) + 3*z(r). Calculate b(a(j)).\nAnswer: 408*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*b - 4*f - 10485, b + 2*f = 2091. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 332, -1\/5, -4 in descending order.\nAnswer: 332, 3, -1\/5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1160064 divided by -57\nAnswer: -20352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26749 - -5?\nAnswer: -26744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650832.\nAnswer: 2, 103177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(36)*-1 + sqrt(36))*-6)\/(-4*2*sqrt(8)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 100?\nAnswer: -100.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-9)\/12*-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2024*f + 3*a = -2023*f - 36, -5*a = 35. Solve 3*w - 5*w + 5*d = -f, -4*w = -4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k + 5. Is 13 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52426200?\nAnswer: 2, 3, 5, 23, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 163353457 minus -0.0518?\nAnswer: 163353457.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(180) - sqrt(180)) + sqrt(180))*3 + 4 + (sqrt(180) + (sqrt(180) + 1 - sqrt(180)) + sqrt(180) + sqrt(180))*-5 + 5)**2*-6 + -5.\nAnswer: -156125 + 8640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2. Let i(l) = 4*l**2. Let p(z) = 2*i(z) + 7*y(z). Let o(k) be the first derivative of 97*k**2\/2 + k + 516. Give p(o(q)).\nAnswer: 9409*q**2 + 194*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2177 + 5864. Is j a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from zgbaiyb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29469846 rounded to the nearest one thousand?\nAnswer: 29470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/252)\/((-16)\/(-42))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284349 and 60099?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1718944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Let z = 0.5 - x. Let t = -16 - -20. Sort t, -1, z in decreasing order.\nAnswer: t, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 + -50 + 41 + (4 - 20) + -41?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onon when four letters picked without replacement from nnoooo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l. Suppose -6*s = -2*s - r - 45, -3*r - 15 = 0. Let h(c) = -s*c + 16*c - 8*c. Give h(n(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2425 + 26662\/11. What is the third smallest value in 2\/5, 2, 12, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + w + 3 - 14 = 0, 17 = 2*p - 3*w. Let m be (-294)\/70 + 2\/p. Which is the nearest to 0.1? (a) 2 (b) 6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*t - 3 = 0, -c - 163*t + 16 = -160*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 75 = 9. Let a = 4 - f. Solve -4*x - 20 = 4*q, 4*q + 5*x = -a - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148.2 plus 0.117?\nAnswer: 1148.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-23)*(y\/(y\/(y\/y**(-23))))\/y*y assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0049 + -0.002. What is i rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/25443 and 41\/11308.\nAnswer: 101772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -36. Let j(h) be the first derivative of -1\/3*h**3 + 1\/2*h**4 + 0*h + 0*h**2 - q. Find the third derivative of j(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18493*b**5 + 53*b**2 - 67?\nAnswer: -1109580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10039327\/138 + -72748. Find the common denominator of -25\/297 and h.\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 47*g - 16 - 17 + 47 to j*g + m and give j.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-31)\/(217\/3).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 78*u - 2*u**2 - 26*u + 12*u**2 - 9*u**2 to the form a*u + i + z*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11835 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 4 = 0, -3*x + 32 = 5*w. Let h(o) = -4*o**2 + 2*o**2 - w - 2*o**2 + o + 5*o**2. Give h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/3*6\/4. Let d be i\/(-75) + 231\/45. Suppose j - d*p = 211, -5*j - p - 4*p + 1055 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 363 + 309 = 0. Is 3\/(-27) - (-101288)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1593\/2 + -802. Find the common denominator of (-2)\/(-33)*333\/(-12) and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -21. Let a = -0.137 + 22.437. Let l = a - z. Sort -5, l, -1\/4.\nAnswer: -5, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2 + 15208656*f - 243337728 = 0.\nAnswer: 16, 5069536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 16. Find the third derivative of k*o**5 + 6*o**5 + 20*o**2 - 6*o**2 + 14*o**5 wrt o.\nAnswer: 1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7680 (base 14) to base 11\nAnswer: 14443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 117. Suppose -k = -4*u - 26, 4*k + 3*u - m = -14. Let j be ((-15)\/k)\/(10\/(-20)). Solve 4*o - j*o - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from jqnqjjqnq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -692 - 116*v**3 + 232 - 3*v + 231 + 231 to o*v**2 + w + q*v**3 + d*v and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:16 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 584669505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14\/4*(-1976)\/1729\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-36) - ((-25)\/(-20) + -2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(175) + -1 + sqrt(175) + 1 - ((sqrt(175) - (-3 + (sqrt(175)*-2 - sqrt(175)))) + sqrt(175)))**2*2.\nAnswer: -3168 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3674, -362, -9, 4 in ascending order.\nAnswer: -3674, -362, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*c - 4*q, -4*c + 7*q = 8*q - 20. Suppose 3*f = -3*t, -3 + 5 = -t - 2*f. Suppose -2*w + 2 = t*v, -3*w = 5*v - c*v + 3. Which is smaller: w or -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 3. Suppose 2*z + 46 = 6*z + 3*k, 5*z = 4*k + 42. Let t be o(z). Is (-12)\/(-42) + 1335\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -266\nAnswer: 6\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)*(-3 - 1). Let q(o) = 2*o**2 + 5*o - 4. Let n(g) = -g**2 - 4*g + 3. Let m = 2 - 2. Let b(z) = z + 3. Let y be b(m). What is k*n(r) + y*q(r)?\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/12 + 4*n**3\/3 + 8*n**2 - 2*n + 2. Find b such that k(b) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1424 is divided by 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/25101430 or -1?\nAnswer: -7\/25101430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-5 + 4 - -11). Sort -3\/7, m, -1\/5, 11 in decreasing order.\nAnswer: 11, -1\/5, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1352 and 32.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 90.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2581408747 to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -55*i**3 + 1 - 19*i**2 - 2 + 18*i**2 - 2*i. List the prime factors of r(-1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87129967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125833 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 + 486. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/6*3\/21. Let z = 3.8 + 1.2. What is the nearest to -2 in 0.2, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4588 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 17. Let p be (-24)\/40 + 2\/20*1. Which is the nearest to 1\/4? (a) -5 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-4 - -4) + 0 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*d - 1697 + 1697.\nAnswer: -47*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21315, 3, 11, -1\/41?\nAnswer: 21315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2490 and 50630?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 32. Let x be y(5). Let l(r) be the first derivative of r**4\/4 - 5*r**3\/3 + 5*r**2\/2 - 2*r + 1. Determine l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1113 - 1135. Let v(f) = 15*f. Let n(u) = 8 + 3*u - 6 - 2. Let y(d) = d. Let m(j) = -6*n(j) + 14*y(j). Determine r*m(g) - 6*v(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -613.6 + 615. Let b = -286104.3 - -286105.6999976. Let s = b - f. Round s to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 8*i + 6*i. Give q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, o: 1}. What is prob of picking 1 g and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8875\/4260 + 2\/12?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 5 - 2 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*t - 3 = -5*t, 3*f + 15 = 5*t. Suppose -2*b + 4*b - 10 = 0. Solve 3*r + f*r - 5*s = -4, -b*s = -r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12037*f**2 + 3*f + 3. Let x(i) = -84260*i**2 - 22*i - 22. Determine 22*t(a) + 3*x(a).\nAnswer: 12034*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2*t**7\/105 + t**6\/40 - t**5\/60 + t**2\/2 + 3. Let n(m) be the second derivative of v(m). Let n(d) = 0. Calculate d.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4851559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r**5\/3 + 6976*r**4\/3 + 168949*r**3\/3 - 358894*r**2\/3 + 60984*r = 0 for r.\nAnswer: -6534\/17, -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*n - 6, 3*n - 37 = -4*u - 17 + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -856*y**2 + 1610*y + 2385 + 861*y**2 + 780*y = 0.\nAnswer: -477, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.999677\nAnswer: 0.0999677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -10*n**4\/11 - 223512*n**3\/11 - 10750142*n**2\/11 - 2141088*n\/11 = 0.\nAnswer: -22303, -48, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -446, -864, -1258, -1628, -1974?\n\"Answer: 12*k**2 - 454*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80621535.\nAnswer: 3, 5, 5374769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 5. Let c be i(0). Let w = 5 + c. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/12 - 5*w**3\/3 - 4*w**2 - 2*w. Let o be n(-6). Does 16 divide (o\/(-20))\/(2\/(-115))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -108*i - 23610. Give m(-221).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/3 - 4*a**3\/3 + a**2\/2 - 3*a. Suppose -97 = -60*j + 323. What are the prime factors of k(j)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y - 9 - 6*y + 12*y - 4 + 3*y**2 + 9. Let d(z) = z + 8. Let v be d(-6). Let i(r) = 15*r**2 - 11*r - 21. Let p(a) = v*i(a) - 11*u(a). What is p(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 3*q**2 + 3*q + 4. Let z be c(-3). Let w(l) = -17*l**2 - 18*l**2 - 1 + 53*l**2 - l**3 - 23*l**2. Let f be w(z). Is f >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -131?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0180197 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.1 (b) 2\/3 (c) -3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/130 and (-12)\/(-24) + (0 - (-446)\/(-1040))?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2\/9 (c) 1\/2 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -967, -2165, -3831, -5959, -8543?\nAnswer: -11577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 17568*m**2 - 87815*m.\nAnswer: -m*(m - 17563)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854 divided by 393990.\nAnswer: 427\/196995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*t - 2*f = -105*t + 1081023, -2*f = -2*t + 432414. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 3, q: 2}. What is prob of picking 2 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 - 9)) + (-65 - -64).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*f - 74*f = -654 + 4283 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**2 - 9*b + 11. Suppose s - 2*s - t = 4, 2*s = -5*t - 2. Let p(c) = 4*c**2 - 5*c + 6. Give s*g(u) + 11*p(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352020000 rounded to the nearest one million?\nAnswer: 1352000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {x: 2, y: 8, w: 2, h: 4, l: 2, s: 1}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22266, -22287, -22322, -22371, -22434?\nAnswer: -22511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22537804 to the power of 1\/2, to the nearest integer?\nAnswer: 4747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 + 2065. Let s = q - 1520. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516.5401 - -0.02?\nAnswer: -1516.5201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.16281868?\nAnswer: 0.16281868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 386*c**2 - 2329*c**3 - 388*c**2 - 11*c + 2327*c**3 + c**4 to the form s*c**2 + l + j*c + q*c**4 + w*c**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0*d**3 - 38*d**2 + 0 + 1\/12*d**5 + 0*d**4 + 43\/120*d**6 + 0*d. Find the third derivative of k(l) wrt l.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 10*a**2 + 147*a - 283. Calculate f(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5988 + -0.1?\nAnswer: 5987.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/5, 4\/55, 2?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(2*w + 10*w + 7*w) - 3*w + 0*w + 5*w)*(-7*w**2 - 17*w**2 + 21*w**2)*(0 + 0 - w).\nAnswer: 120*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 22*v**2 - 18*v - 11. Let g be (-12)\/6 - (-6 - 0). Suppose -g*o = -2*o + 5*z - 3, -4*z - 39 = -3*o. What is the units digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/700 and -12\/55?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - 0.22. Let q = 11 + -13. Sort 0.2, o, q in descending order.\nAnswer: 0.2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven halves of a millennium?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204526803?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 6*w**2 - 3*w - 7. Let t be a(5). Let h(l) = 2 + 11*l**2 - 7*l - 2*l**t + 3*l**3 - 5*l. Is h(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69 or 4148?\nAnswer: 4148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 1, -0.5, 328?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z + 5*z + 17*z to the form x + b*z and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((25\/(-5))\/(-2165))?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2809774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238993657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6*l - l + 8967 = 0, 3*j - 8961 = -5*l. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53, -65, -183, -301, -419, -537?\n\"Answer: -118*b + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*1*(-11774)\/1218. Let i = 1510 - 1017. What is the highest common divisor of i and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssiiiisisssvs. Give prob of picking 2 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - p - 5, -1 = -3*c - 3*p - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10791 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437 and 674429?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w. Let l(b) be the second derivative of 0 - 1\/3*b**3 + 3*b + 0*b**2. What is u(l(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 10100?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from riturrzttuztzizrrzrr. What is prob of picking 1 u, 1 t, and 1 z?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (15 - 27 - (-7 - 8) - -41)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y**3 + 33*y + 5. Suppose -2*k = 8*k + 50. Let h(g) = -38*g**3 + 98*g + 14. Let d(j) = k*h(j) + 14*o(j). Find the second derivative of d(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 9. Let q be t(-6). Let l be -6*1*(-9)\/q. What is the derivative of 27 - 5*i**2 - l - 13 wrt i?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 16, c: 2}. Give prob of picking 1 v and 2 c.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59 (b) 3 (c) -5 (d) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 966, 2471, 4982, 8499, 13022?\n\"Answer: 503*j**2 - 4*j + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxxagggx. Give prob of picking 2 x and 1 g.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.5, 22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 0*d - 3*d - 6, 10 = -2*a - d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2692.019438 - -2695.669438374. Let z = -3.65 + h. Round z to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*w + 114 = 92*w. Let p = 1.2 + -0.2. What is the closest to 1 in -0.1, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 500 + -652. Let p = -147 - n. Solve 0 = -51*w + 56*w + p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l, 2*f - 5082 + 262 = 2*l. Is f 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 -1233, -2762, -4291?\n\"Answer: -1529*m + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -128*l - 142*l - 45*l + 5670 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4099650.68 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*l + 3 - 3*l)*(-3131*l - 4168903 + 4168903)*(-2 + 3 + 6) to the form z*l + u + j*l**2 and give z.\nAnswer: -21917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 27*w**3 - 17*w**3 - 16*w**3 - 2*w + 0*w**3.\nAnswer: -61*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 5*x**3 + 1 + 0*x**3 + 6*x**3 to the form z + k*x**3 + p*x**2 + b*x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.468 and 4?\nAnswer: 1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7668 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psk when three letters picked without replacement from {k: 6, g: 1, p: 2, s: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 3*n - 2*n)*(16 - 3 + 3) + (-3*n + 2*n + 2*n)*(-2 - 3 + 4).\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312332002 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -114. Let p be (-4)\/14 + 1337\/k. Let o = -15 + p. Solve 2*h - o = -2*y, -h + 2*h - 2*y + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 236. Let p = b + 142. Let g(s) = s + 1. Let k be g(4). Solve 3*i - k = -5*w + w, -w = -p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 16, 24, 16, -20, -96?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 116384, 232765, 349140, 465509, 581872, 698229?\n\"Answer: -3*m**2 + 116390*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(150*(-19)\/228)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*h + 2. Let u be (h\/49)\/(18\/(-21)). Factor 0*b**2 + 0*b + 0 - 1\/3*b**4 + 1\/6*b**3 + u*b**5.\nAnswer: b**3*(b - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -3979\nAnswer: 19895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -15392, 0.3?\nAnswer: -15392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3244680 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 105. Suppose -12*x = -w - 43. Differentiate 11 + 17*v**4 - 7*v**4 + 14*v**x with respect to v.\nAnswer: 96*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*t - 13*t + 19*t as a + i*t and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166 or 164008\/997?\nAnswer: 164008\/997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89556, -89596, -89666, -89766, -89896, -90056?\nAnswer: -90246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + y - 19 - 18 = 0, -c - 4*y = 4. Let v = 19 - -4. Calculate the remainder when v is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, -3, 2\/9.\nAnswer: -3, 2\/9, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*d - 18 = 0, -2*h + 6*h = -2*d + 6. What is the tens digit of 89 + -3 + 0 + 0 + h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 6*a - 4. Let g = -32 - -37. Let f be n(g). Which is smaller: f or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 34. Let f(c) = c**3 - 4*c**2 - 7*c + 13. Let h be f(s). Let k = -11 + 13. Solve -k = h*l + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**4*t))\/((t*t**10\/t*t)\/t)*(t**(-18))**(-4\/13) assuming t is positive.\nAnswer: t**(-123\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -783283, -3133153, -7049609, -12532651?\n\"Answer: -783293*w**2 + 9*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142353 (base 6) in base 7?\nAnswer: 54312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 1655 = -2*l - 19*n, 3*l = -2*n - 2454. Let f = -816 - l. Find b such that 8\/3*b**3 + 44\/9*b**2 + 98\/9 + 2\/9*b**f - 56\/3*b = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 14 = 3*p. Suppose -5*q + 9 = -2*q. Let k = q + p. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24518 or -62?\nAnswer: 24518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13644 + 15*i**3 + 13644.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290660 rounded to the nearest ten thousand?\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 0.1, -0.4, 412?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1265 + -1250. Solve 2*g - r - 3*r = 12, g = 5*r + a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(216) - sqrt(216)*-2))\/(sqrt(63)\/(sqrt(21)\/sqrt(3)) - sqrt(9) - sqrt(9)))\/((sqrt(648) + sqrt(648)*2 + (sqrt(288) - sqrt(288)*-2))*-2).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**2 - 15*m + 0*m**4 + 0 + 0*m**5 - 1\/6*m**6 + 2\/3*m**3. Find the second derivative of w(d) wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4947 - 4947. Let m = 1.2 - 1. Sort 0.1, -0.5, m, b in ascending order.\nAnswer: -0.5, b, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 342*n + 4292. Determine m(-13).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 87 = 7*p + 84*p, -4*p - 2 + 1 - 6 = 3*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.5, -7\/16711 in decreasing order.\nAnswer: 0.5, -7\/16711, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16805 - 44259.\nAnswer: -27454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-18)\/(-10))*(-7648)\/286800\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibhbi. Give prob of sequence ihib.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*h**2 + 469*h**2 - 732*h**2.\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x**(-30\/11)\/x)**(-3\/14))**(2\/49) assuming x is positive.\nAnswer: x**(90\/3773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-4 + 1) - 3. Which is bigger: k or -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:20 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -24. What is the remainder when 25 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -1, -2\/5, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1582, 6357, 14316, 25459, 39786?\nAnswer: 57297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 9 = 19. Solve x*b + 25 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 377*p**2 - 59*p + 1381. Is n(-70) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0167 and -2?\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g - 3906. Let v(z) = -10*z - 5862. Determine 8*d(o) - 5*v(o).\nAnswer: 2*o - 1938","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -120014800 rounded to the nearest one million?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1962, -2264, -9308, -19170, -31850, -47348, -65664?\nAnswer: -86798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 10.\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4\/8 - 209907*f**3\/8 - 209913*f**2\/8 + 209907*f\/8 + 104955\/4 = 0. What is f?\nAnswer: -1, 1, 69970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 17*w**2 - 13*w - 11. Let h be i(-11). Let d = h - -1225. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, 5, 2, 1 in descending order.\nAnswer: 17, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uurdddduduuuuur. Give prob of sequence drdr.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10c14 - -2302?\nAnswer: -c912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/(-10) + -12 + 2. Let o(q) be the first derivative of 13 + 7\/4*q**4 + 5\/2*q**2 + 0*q**3 + a*q. Find the second derivative of o(r) wrt r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 - 22*u**3 - 79*u - 49*u - 15 + 8 + 25*u**3 + 5 as n*u**3 + o*u**4 + d*u + t + v*u**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -625 - -628. Let b(i) = -i - 11. Let r(u) = u + 12. What is a*r(c) + 4*b(c)?\nAnswer: -c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let r(i) be the first derivative of -4*i**2 - 6. Give p(r(v)).\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207347 + 11?\nAnswer: 207360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = 3*m - 16, 24 = 4*m - 4*l. Suppose -m*z = -3*k - 114, z + 2*k + 2 = 17. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62859 smaller than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-5 - (1 + -14)) + -9 - -20.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8180 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + f + 3, -w + 2*f - 3 = 0. Calculate the smallest common multiple of -7 + 30 + w + -2 and 76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*w = -3*w + 4, 0 = -k - 4*w - 16. Suppose -7*b + 11*b - 144 = k. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3996, 0.03, 1\/7 in increasing order.\nAnswer: -3996, 0.03, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.4, -24, 1500\/11 in increasing order.\nAnswer: -24, -0.5, 0.4, 1500\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(((-54)\/9)\/60).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooosoosoooo. Give prob of picking 4 o.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 227*i + 27 = 225*i, 8*x - i + 36 = -5*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65.9418 + -0.0582. Let v = 206.2 + a. What is v rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.066 (b) -11 (c) 4\/5 (d) 3\/8 (e) -2\/5 (f) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79864523 to the power of 1\/2, to the nearest integer?\nAnswer: 8937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (28\/4)\/(-20*(-1)\/10)*4\/(-287)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39546759.\nAnswer: 3, 7, 271, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 + 84 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90989698?\nAnswer: 2, 45494849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 696\/(-28) + (-1440)\/35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22929056263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88085 or 88084?\nAnswer: 88085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-7))\/((-4)\/(-14)). What is the remainder when (1 - (-90 + -1)) + 1 is divided by (-2)\/(o\/1) - -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0, -1, -1\/2, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 214d + 6a4?\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2 - -3)*(-5 + 2). Suppose 5*v + 386 = d*l, 660 = 5*l + 3*v - 8*v. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/30 - w**4\/3 - 5*w**3\/2 - 9*w**2. Let y be a(6). Solve -3*x + 0 = -u + 11, -5*x - 3*u = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8035\/6 - (1 + 1). Let w = -1344 + x. Let z = -53929\/4812 - 84\/401. Calculate the common denominator of z and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.7, 1, -1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2718819 and 151\/12.\nAnswer: 10875276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*w - 10*w + 560 = 0. Suppose -2*a = -0*a - a. Solve -w*f + a*f - 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295638 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f**3 + 483*f - 483*f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2011 + -13?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -19*i + 2187. Give g(115).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/9, -47\/11, 0.13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**7\/1260 - 47*s**6\/720 - s**5\/8 + 47*s**4\/144 + 23*s**3\/18 - 8*s**2 + 5*s - 48. Factor d(y).\nAnswer: -(y - 1)*(y + 1)**2*(y + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/50)\/(14\/(-420)*-18)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1711*z**3 - 43*z**2 - 41*z + 1. Is 22 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -132*w**5 + 51*w**2 - 1984. What is the second derivative of p(u) wrt u?\nAnswer: -7920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 40*n + 36. Let i(v) = v + 2. Let o be i(-5). Let r(f) = -f**2 - 13*f - 12. Let x(l) = o*b(l) - 8*r(l). Find q such that x(q) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) 1\/5 (d) -0.3 (e) -3351 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4044*g**2 + 4058*g**2 - 8099*g**2 + 10*g.\nAnswer: 3*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 515767, 515983, 516199, 516415, 516631?\nAnswer: 516847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/20 + 13*k**4\/12 + 5*k**3\/6 - 5*k**2 + 19*k. Does 12 divide r(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 2, c: 1, e: 1}. What is prob of picking 1 c and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -12694.\nAnswer: -63470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21\/63 + 550\/15 is divided by (-3)\/(-1) + 15\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 14. Suppose -48 = -2*r - 12. Let j = r - p. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**2 - b + 70. Determine p(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8, 4\/3, 4, 8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j - 7. Let y be f(-5). Let q = -10 + y. Let h be (-21)\/(q\/6*-2). What is the greatest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {w: 2, q: 2, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2 + 12. Let i be (5 + d\/2)\/(-6). Are i and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l + 240. Let b be z(-47). Suppose b*o = -c + 13152, -7*o + 6*o - 2 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -799, -877, -955, -1033, -1111, -1189?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8060 divided by 2015\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f**2 + 112*f - 56*f - 56*f - 34*f**2 + 6.\nAnswer: -3*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -12458*m - 74756. Calculate u(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -12*g - 332. Determine r(-29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 338, 807, 1272, 1733, 2190?\n\"Answer: -2*c**2 + 475*c - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(252) + ((0 + sqrt(252) - sqrt(252)) + sqrt(252))*-6 + sqrt(252))**2.\nAnswer: 96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/98)\/(6\/7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 6. Let q(y) = -5*y**2 + 31. Suppose 0 = -2*l - 115 - 121. Let h = 114 + l. Let r(f) = h*q(f) + 22*v(f). Factor r(z).\nAnswer: -2*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2227\/2 - 1109. Suppose -3\/2 + 3\/2*k**3 - d*k**2 + 9\/2*k = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -112?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -1\/118?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335.849 millennia in decades?\nAnswer: 133584.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 37*r + 5. Let s(q) = -13*q - 2. Suppose 6*y + 40 = 11*y. Let z(n) = y*s(n) + 3*a(n). What is z(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 divided by -105?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 + 24)\/(-5) + 16\/10. Which is the fourth smallest value? (a) 1\/4 (b) 2\/23 (c) 1\/2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - 13572\nAnswer: -13572.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/20)\/(9\/24). Let x = -0.3146 - -3.3146. What is the closest to 7 in i, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9))**(4\/3)\/(c**1\/((((c\/(c\/((c**(-26)\/c)\/c)))\/c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-829\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -3 - 0 - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*y**2 - 91*y**2 - 98*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844 + 864 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 489032 or -9.23?\nAnswer: 489032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*r = 29*r - 43*r - 685 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -93.0056?\nAnswer: -2046.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297 - -1417. Does 54 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-35) - (-24)\/7. Suppose 18*h - 17*h - 1 = 0. Suppose 5*v + 4*o = 8, 0 = -y*v - 4*o + 9 - h. Is v not equal to 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (12 + -9 - (1 - -23)). What is the third derivative of -21 - 13*t**2 + u - 31*t**5 + 38*t**2 wrt t?\nAnswer: -1860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h + 0*h + 2*h. Let b(g) be the third derivative of g**4\/4 - g**2. Calculate w(b(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*v + 11*v + 7*v + 5*v)*(1 - 3 + 0) to the form u*v + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00194333855 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*m - 397 + 392, 3*m - 3 = -5*t. Solve t = -34*y + 6*y + 196 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 436529*s**5 - 5*s**3*z**3 + 2*s*z**3 + 6*s*z**2 + 1082*s - 2*z**3 - 3 wrt s.\nAnswer: 8730580*s**3 - 30*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1037002 - 5045.\nAnswer: 1031957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 564*q - 79524 = 0. Calculate q.\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 0*p**2 + p + 0*p**2. Let n(a) = -7*a**2 - 4*a + 1. Let y(t) = -4*g(t) - n(t). Differentiate y(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s**2 + 3*s. Let q(n) = -55*n**3 + 37*n**3 + 4*n + 16*n**3 + 3*n + n**2 + n**2. What is 9*j(p) - 4*q(p)?\nAnswer: -p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467722430?\nAnswer: 2, 3, 5, 604001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*y - 141*y - 1279. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m = 33202 + 2080. Calculate the smallest common multiple of m and 9.\nAnswer: 12213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 641.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -516a (base 11) to base 5\nAnswer: -204402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g - 6 = 0. Suppose -d = -g*d + 102. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1260571092 and -0.9?\nAnswer: 1260571092.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/25486 and -63\/8.\nAnswer: 101944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -21041321?\nAnswer: 21041233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -348475, -348477, -348479, -348481?\nAnswer: -348483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhkhhkkkhhhk. What is prob of sequence hkkh?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2131.9 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = v + d, -4*d = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42583, 159308, 353859, 626242, 976463, 1404528, 1910443, 2494214?\n\"Answer: g**3 + 38907*g**2 - 3*g + 3678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1. Let b(h) = 13*h + 4. Let t(d) = 2*a(d) - 2*b(d). What is the tens digit of t(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13157\/20 + -2633\/4. What is the nearest to 6 in c, 3\/2, 0.03?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -3*c + 6*c. Suppose 2*y + 5*a + 155 = 7*y, -4*a = 5*y - 128. What is the lowest common multiple of y and c?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 6\/14 - (1 - (-335)\/(-35)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.4, -15366, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/4 - (-3)\/(-4). Let z be 2\/(-5) - (-68)\/(-5). Let m = k - z. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -334201.103 to the nearest 100.\nAnswer: -334200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 25 - 10. Let i be 11\/(-6) + -1 + x. Does -2\/5 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 7 + 4 + (-74 - -64)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 8*q + 21. Let k(a) = a - 23. Let g be k(14). Is p(g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/20)\/6*5\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmjrv. Give prob of sequence hj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4400\/23 or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-four fifths of a milligram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2215*j**2 + 1261 + 881 + 583 - 98 wrt j?\nAnswer: -4430*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**2\/9 + 547*s\/9 - 548\/9 = 0.\nAnswer: -548, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = 3*t. Let b(o) = 1. Let g(n) = -6*n**3 - 1. Let s = -1636 - -1632. Let i(v) = s*b(v) + t*g(v). Differentiate i(k) wrt k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578008424.\nAnswer: 2, 103, 3128651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614092700 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(224)*5)\/(sqrt(63)\/(sqrt(36)\/sqrt(4)) + (sqrt(6776) + sqrt(56))\/sqrt(8)).\nAnswer: -40*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04234 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675662806?\nAnswer: 2, 7, 13, 461, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:30 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - 2. Let x be p(11). Suppose -5*q = v + 4*v - 155, 5*q + x = 3*v. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34243, 68488, 102733, 136978?\n\"Answer: 34245*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 12952 = -37*r - 12895, 3*r - 23 = -4*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(475) + 3)**2.\nAnswer: 30*sqrt(19) + 482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 4*z + 30. Calculate c(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52479 and 11871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcaaatfxaaaaaafcttff. What is prob of picking 1 x, 1 a, and 1 t?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 4. Let o be m(4). Let r be 7\/14*(-4)\/2. Put o, 2, r in descending order.\nAnswer: 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*a**4 + 0*a + a + 67*a**4 - 8*a**3 - 7*a**2 + 8*a**3 - 4 in the form o*a**2 + t*a + n + h*a**4 + r*a**3 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 139861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4787 divided by -7.\nAnswer: 4787\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(-5*(2*(sqrt(99) + 1 + sqrt(99)) + 4))**2*1)*6.\nAnswer: -242976 - 21600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 0*q - 1\/2*q**2 - 4. Let u(d) = -21*d**2 - 11. Let h(f) = 4*f**2 + 2. Let l(x) = -11*h(x) - 2*u(x). Determine t(l(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*d - 183 - 9 - 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (7 - 5 - 5) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 + 123. Suppose 4*u + 9*g - 82 = b*g, -4*u = -2*g - 80. What is the remainder when u is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47d (base 14) to base 5.\nAnswer: -12040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 1818\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154440.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46426849 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckppckcpcccccc. What is prob of sequence pc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622292.\nAnswer: 2, 11, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4875)\/390 - (-18)\/12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-9)*t))\/t)\/(t*t**(-4\/3))*(t**(1\/5))**35)**(2\/19) assuming t is positive.\nAnswer: t**(92\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68064005677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*i**5*s + 2564*i**2*s**2 - 181169*i*s**2 + 6*i wrt i.\nAnswer: 2080*i**3*s + 5128*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 912285974 to the power of 1\/3, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*(-8*z**4 + 34*z**2 + 5*z**4 + 2*z**4).\nAnswer: -2*z**5 + 68*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 16. Suppose 2*r - 4 = 4*w, -w - z = -4*r + 2. Suppose 2*x - 21 - 3 = 0. What is the smallest common multiple of r and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 64*p + 20. Determine m(-6).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -15. Which is the nearest to k? (a) 11 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let k be d(1). Let m be ((-102)\/(-136))\/((-6)\/16). Let g = 19 - 22. What is the smallest value in m, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**5 - 10*a**4 - 32*a**3 + 46*a**2 - 10. Let w(h) = h**5 + 3*h**4 + 11*h**3 - 15*h**2 + 3. Let i(f) = -3*n(f) - 10*w(f). Factor i(m).\nAnswer: 2*m**2*(m - 2)*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 6548 = 27469. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7037 and 2043.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 4097137472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5400072 divided by 3771.\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -251144 (base 8) in base 11?\nAnswer: -5a0a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**3 - 12*s**2 - 28*s + 18. Let k(w) = -9*w**3 + 22*w**2 + 57*w - 32. Give 4*k(o) + 7*p(o).\nAnswer: 6*o**3 + 4*o**2 + 32*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25203, 25215, 25241, 25287, 25359, 25463, 25605, 25791?\n\"Answer: j**3 + j**2 + 2*j + 25199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1160 or -883\/5?\nAnswer: -1160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**7\/7 - 1916*l**5\/5 + 1238*l**3\/3 - 627. What is the third derivative of i(y) wrt y?\nAnswer: 240*y**3 - 45984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 6}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238 - 259. Let z = o + 21. Find b such that -3*b**3 + z + 0*b + 3\/2*b**2 + 3\/2*b**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4 - 928*z**3 + 27716*z**2 + 229392*z + 340560 = 0. Calculate z.\nAnswer: -258, -5, -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 62*w - 322. Calculate the remainder when a(49) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*k + 15 = 0, -3*j - 36 = 4*k - 53 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b + 16. Let d be g(4). Suppose d = 5*z - 5*s - 25, 6*z - 3*z - s - 11 = 0. Solve z*m + 0 = 4*x - 10, 5*m = 3*x - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1322805 - 1322805 + 3142*z as n + j*z and give j.\nAnswer: 3142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, 1 a, and 1 y when four letters picked without replacement from yqysyqqyyahyiqyhaa.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - -11. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22220032.\nAnswer: 2, 29, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.439862 centuries in decades?\nAnswer: 64.39862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -84126402 divided by -4\nAnswer: 42063201\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2302 - -4603\/2. Which is the nearest to -8? (a) n (b) -1\/3 (c) -3\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:26 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 5)*(0*b**2 + b**2 + b**2).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33151\/15 - -2208. Calculate the common denominator of c and 57\/55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + 3 - -9)\/(3\/(-194)). Let a = -176 - w. Solve -a*t = -16*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3613, -3611, -3607, -3601, -3593, -3583?\n\"Answer: p**2 - p - 3613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63, -37, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 - 285. Calculate the greatest common factor of 80 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2814 (base 9) to base 3.\nAnswer: 2220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(6)\/sqrt(2) + sqrt(3)))\/(3*(sqrt(5) + sqrt(80) + sqrt(5) + sqrt(5))) + (sqrt(441)*3)\/(sqrt(768)\/sqrt(4)))**2.\nAnswer: 201601\/9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3070 is divided by (-5026866)\/(-4914) + (-6)\/(-189).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/2 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 3*f**2 + 3*f - 1. Let h(l) = -l**3 - 17*l**2 - 33*l - 44. Let j be h(-15). Let n be d(j). Solve -u + 3*u = n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/40 - r**3\/6 + 3*r. Let x(f) be the second derivative of g(f). Let i(a) = 2*a**2. What is i(x(q))?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10)*(4 - 144). Suppose -5*v = -5*l + 255, -3*l - 2*v + c + 72 = 0. Let s = l - 34. Is s greater than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5201.\nAnswer: 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + i = 693, -5*i = -2*y - 0*i - 351. Let v = 436 + y. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -5, 253, 607, 1051?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -2\/37 (c) -0.1 (d) -0.049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 667.49 litres?\nAnswer: 667490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 30. Suppose -2*o = -6*o + 56. Suppose 5*r - 54 = -o. Solve -r = -4*a + j*b + 3, 1 = -b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 1685.76.\nAnswer: -674.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 404 + -221. Let l = x + -163. Calculate the smallest common multiple of 44 and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1985418 is divided by 7408.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4578 or 4535?\nAnswer: 4535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 781.3437 millilitres?\nAnswer: 0.7813437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6. Let n be (0 + o)*-2*11. Let h = n + 79. Calculate the highest common divisor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 62*i - 480.\nAnswer: -2*(i - 16)*(i - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11801*q**2 + 2238*q - 58488422 with respect to q.\nAnswer: -23602*q + 2238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 6*r**6\/25 - 4*r**5\/5 + 13*r**4\/15 - 4*r**3\/15 + 25*r. Factor d(o).\nAnswer: 4*o*(o - 1)**2*(9*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -10 + (14828 + 2)\/1. Is u <= 14818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. Suppose -t + 1 = -p. Differentiate 1 + 3*j**4 - 3 + 4 + p wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2*a + 0*a**3 + 0*a**2 - 3\/5*a**5 - 2 + 0*a**4. What is the first derivative of r(w) wrt w?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.34, 5, -2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/((p\/p**(3\/4)*p*p*p*p)\/p))\/(p*p**(-6)))**(-46) assuming p is positive.\nAnswer: p**(-437\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0559 - 24.3559. Let g = 24.2 + v. Let y = 5 + -3. Which is the nearest to y? (a) g (b) 0.5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*o - 52. Let f be (-1)\/((4 + -3)\/(-3)). Solve -4*y - o = 0, -2*i + 1 = 2*y - f*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**2 + 3*h - 1. Let o be a(3). Let s(k) be the second derivative of 0 - 1\/4*k**5 - 2*k + 1\/2*k**2 + 1\/6*k**3 + 0*k**4. Calculate s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862009.6 centuries to years.\nAnswer: 86200960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162911891 greater than 162911890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 15*o**2 + 41*o - 608. Determine g(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -221.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:33 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 216 = -16*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, -24, -8.\nAnswer: -24, -8, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30666 divided by 15333?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2 + 3*w - w + 0*w. Let s = -4 + 7. What are the prime factors of p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**4 - i**3 - i. Let o(x) = 81*x**6 + 8*x**4 - 14*x**3 + 6*x**2 - 46*x. Let r(z) = -o(z) + 8*w(z). Find the third derivative of r(f) wrt f.\nAnswer: -9720*f**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.1154 (c) 1 (d) 1\/384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 384, 708, 1034, 1362, 1692, 2024, 2358?\n\"Answer: p**2 + 321*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + 1 - 1)*(-4 + 3 - 1) - 2*x - x + 2*x)*(-3*x + 7*x - x)*(5*x + 4*x - 4*x).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11473, 45, -2, 1, 4, -4.\nAnswer: -11473, -4, -2, 1, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 66*t - 31*t + 150*t)*(23*t - 56*t - 40*t) in the form y*t + c + k*t**2 and give k.\nAnswer: -3869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 3*d**2 + 2. Let a be b(-3). Suppose -a*j - 6 = 4*i - 24, 3*j = 5*i - 6. Suppose i*o = o + 900. Round o to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103 and 18849?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 91*j - 3. Let v(d) = -288*d + 10. Let u(o) = -19*b(o) - 6*v(o). Determine u(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9276, -9294, -9312, -9330, -9348, -9366?\nAnswer: -9384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 - 772*c**2 - 5024*c + 210672 = 0 for c.\nAnswer: -19, 14, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 10. Find the common denominator of t\/(-40) + (-211)\/(-20) and 37\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 - 4*z - 31. Let l(s) = -s**2 - s - 6. Let g(b) = -11*l(b) + 2*y(b). Let p be g(3). Is (p - -73) + (1 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 10 = -130. Let b(r) = -r**3 - 7*r**2 - 11*r - 18. What are the prime factors of b(o)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33606701 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*u - 37*u - 235. Suppose -5*j + 15 = 0, -7*j + 2*j + u = 4*i. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 740864 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x = -2. Let a be (-2 - x)\/(5\/(-30)). Let p(m) = 4*m - 18. What are the prime factors of p(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 21, -163, -21, 1 in increasing order.\nAnswer: -163, -21, -1, 1, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + a**2 - 2*a - 4.\nAnswer: (a - 2)*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x - 43. Let h(l) = 7*l + 32. Let n(c) = -3*h(c) - 2*s(c). Let j(m) = 9*m + 19. What is 3*j(i) + 5*n(i)?\nAnswer: 2*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4580040.89 rounded to the nearest 10000?\nAnswer: -4580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:01 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9555601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 569 - 513. What is the lowest common multiple of j and 140?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = -3, -2*l + 2*h + 18 = 0. Suppose -3*a = o - 2*o + 509, -3*a + l = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-15))\/((-2)\/(-35)). Does 6 divide (b - 0 - 3)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + 158\/5. Let c(w) = -w**3 - 16*w**2 + 56*w - 16. Let d be c(-19). Let l = d + g. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8043, 7983, 7923?\n\"Answer: -60*t + 8103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1736.867 - -1746. Round j to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 981*r - 72 = 896*r + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1476 and 11186001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -56.8. Which is the nearest to f? (a) 5 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 8*u**2 + 10*u - 6. Suppose -19 = -3*v + 8. What is the units digit of z(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -402.566 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1534*j**2*z**3 + 3*j**2*z + 8*j**2 - 14*z wrt z.\nAnswer: -9204*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0366 + -0.3366. Let h = -0.2 + -0.8. Let v = -1 - h. Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -8) + -5 + 8 - 46.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 34. Suppose 0 = 3*m - g*m + 6. Solve 2 = m*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20468\/(-2288))\/(-7) + 37\/(1628\/(-8)) and 4\/75?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26644, 27105, 27590, 28099, 28632, 29189?\n\"Answer: 12*p**2 + 425*p + 26207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144 - 211. Let t = i + 72. Solve -2*f + 5 = t*y + 3*f, 4*f - 19 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 62 + 163. Suppose -o + 2*o - 32 = 0. Let t(q) = v + 26 + 2*q - o. Calculate t(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -226551 (b) -3\/8 (c) 0.1 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 393 = h + 5*i, 3*h = -i + 292. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 5\/2, -1.9, 16, 1\/3?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30432 is divided by 4788?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + 7 + 0 - 32?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 - 1 - (-1 - (1 + -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -8*t - 33. Let a = 31 + -44. Does 33 divide i(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 435.127 * 0.5.\nAnswer: 217.5635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 1969892?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2 - (-13 + 3)) + (-1 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -5 + 1 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2169*r - 2173*r. Calculate the greatest common divisor of r and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4 - 14 - 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 207145?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uawwwmnnnaana. Give prob of sequence mw.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**2 - 11 - 15 - 10*z**4 - 12 + 6*z**4 - z**3 + 40 as k*z**2 + h*z**4 + n*z**3 + c + d*z and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95537170.\nAnswer: 2, 5, 23, 415379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5732 or 3959?\nAnswer: 3959","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqqqqqq. What is prob of sequence qi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 4*z**2 + z - 5. Let d be w(-6). Let a = d + -16. What is the greatest common factor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30958081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 11*y**2 - 10. Let f be m(11). Let t be (-4)\/f + (-12)\/(-5). Factor 16\/5*r**3 - 6\/5*r**4 + 4\/5*r + 0 - t*r**2.\nAnswer: -2*r*(r - 1)**2*(3*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15463?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbxifqx. Give prob of picking 1 f, 1 l, 1 b, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2536 - -7795. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*r + 124 = 134, -4*k - 4*r = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289386 and 48438?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7.57+-71.4\nAnswer: -63.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -937292*m**2*z**3 - 37*m**2*z**2 - 1314*m**2 wrt z.\nAnswer: -5623752*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 396, 1349, 3204, 6261, 10820, 17181, 25644?\n\"Answer: 50*q**3 + q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191150*a**3 + 160766*a.\nAnswer: -1146900*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 21*t**2 - 16*t + 23. Determine n(22).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10 + 0 + -22 + 33.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 16*w + 371. What is the tens digit of y(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g - 4*x = 4, 3*x + 11 = -g. Suppose 3*a - 137 = -5*d + 19, -a + 35 = -g*d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5531 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6760 and 8060?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964537829 to the power of 1\/2, to the nearest integer?\nAnswer: 44323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1\/1770, -72, 5 in descending order.\nAnswer: 28, 5, -1\/1770, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4372*l. Let x(z) = -76*z + 90. Let d(q) = -34*q + 40. Let h(r) = -9*d(r) + 4*x(r). What is f(h(v))?\nAnswer: -8744*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -105, -1 in increasing order.\nAnswer: -105, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = z + 4*w + 12, 5*z = w + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/318465043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 442000 rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 17*s**3 + s**2 - 89*s. Let u(c) = -19*c**3 - c**2 + 90*c. What is -6*a(r) - 5*u(r)?\nAnswer: -7*r**3 - r**2 + 84*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 4. Suppose -5*s - 5*o + 81 = -34, s - 29 = 2*o. Let y = s + c. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - ((-9 - -6) + -2)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203766217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0978 or -10.88?\nAnswer: -10.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 305, -0.6, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410312.5 microseconds to nanoseconds.\nAnswer: 410312500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in 59, 0.2, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17194 (base 16) to base 15.\nAnswer: -1d077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1120 and 29\/784?\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4. Suppose 0 = -4*n - o*n - 212. Let l = -36 - n. What is the remainder when 50 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 150, 174, 198, 222, 246?\n\"Answer: 24*f + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 17. What is j(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47348)\/(-178))\/133*(-414)\/8*4\/(-6)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (11 + -11 - -4) - ((2 - -12) + -4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose 0 = -6*j + 190 - 166. Let i(n) = 2*n**2 - 159*n + 84. Let o be i(79). Solve 0*c - v*c = -j*f - 1, -4*f - o*c = 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1, 10 in descending order.\nAnswer: 10, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c - 11 = -72*c - 4*g, 5*g = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 3*f**2 - 32*f - 82. Determine z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1850195*g*t + 17631438*t wrt g?\nAnswer: -1850195*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 2. Let k be m(1). Let r be 2\/2*29*1. Let n = r + -18. Solve -7*u - v = -k*u - 6, u + 5*v = n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5413*n**3 + 380*n**2 + 325*n + 12506.\nAnswer: -32478*n + 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -1. Let x = 0.2 - h. Let z = 205 - 208. Which is the third biggest value? (a) 0.1 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 2*t. Suppose 4*h + 5*q + 7 + 1 = 0, 5*q + 35 = 5*h. Suppose -17 = h*n + 1. What is the tens digit of d(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2 - 2*a**2 + 21*a**5 - 7*a**2 - 14*a**2 wrt a?\nAnswer: 1260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 88 (c) 5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.03 - 0.738. Let j = s + 0.008. Which is the biggest value? (a) -0.11 (b) j (c) 2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g, 0 = -q + g - 2 + 3. Solve -q = j + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -493\/6042 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 4. Let i be n(6). Is ((-78)\/(-12))\/(i\/(-28)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**5\/5 + 13*u**4\/4 + 153*u**3 - 363. Find the third derivative of t(b) wrt b.\nAnswer: -24*b + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30.1551 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 + 113 = -u. Let r = -198 - u. Calculate the remainder when r is divided by 11 + 0\/1*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*r - 5, 0 = -5*i - 5*r - 3 + 43. Let x(g) = -4*g. Let q be x(-1). Solve i*a = -a - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 0. Let c(q) = 1 + 0 + q**2 - 10*q + 4*q. Calculate c(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 3*j - 1. Let b(o) = 3*o**3 - 7*o + 3. Suppose 2*c + c - 24 = 0. Suppose -2*n + c = -0*n. Give n*b(g) + 10*m(g).\nAnswer: 2*g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8147.848549 - -8147.8. Round o to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 632 = -0*v. Let z = v - -88. Calculate the highest common divisor of z and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141210 + 256?\nAnswer: 141466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*h**2*n + 7*h*n + 110*n wrt h?\nAnswer: -16*h*n + 7*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1008*b**4*p**3 + 11*b*p**2 + 50*p**3 wrt b.\nAnswer: -12096*b**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 927600 rounded to the nearest ten thousand?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1545, -1549, -1563, -1593, -1645, -1725?\nAnswer: -1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3314662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 + 3)*(5 - 4 - 4)*(509 - 275*g - 509)*(1 + 0 - 3).\nAnswer: -18150*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 37. Suppose 10*i + 6 = c*i. Solve 0 = i*x + 6, -5*l + 5*x + 15 = -10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8301044079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -2, 1597, 3 in increasing order.\nAnswer: -2, 0, 3, 9, 1597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.99 + -0.01. Let g = 5 - 2. Suppose -3*q + 6 - g = 0. What is the nearest to k in q, 2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.653 - -0.347. Which is the second biggest value? (a) 11\/2 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b + 185 - 23 = 0. Let f(i) = -11*i + 2. Let r(n) = -33*n + 6. Give b*r(q) + 17*f(q).\nAnswer: 11*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 + 12 = 5*s. Let m(q) = q - 30. Let p be m(s). Let c = p + 17. Solve -12 = -c*k - 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1596\/63)\/38*-24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/3 - 8*h**3\/3 - 2*h**2 + 7*h\/3 + 2 = 0. Calculate h.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 28 = -4*b. Let y = 11 + 8. Let d = b - y. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1461, 2229, 2997, 3765, 4533?\nAnswer: 5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -119*-320698\nAnswer: 38163062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.731473752 rounded to 2 dps?\nAnswer: -11.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, 870, 1, 0.1, -2\/5, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*r + 19, -208 + 187 = -5*r - 2*k. Suppose 2*d = -2*d. Let f be (1 - d)\/(1\/22). Solve 2 = r*h + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493282591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -1360*r + 205*r**3 + 339*r**2 - 412*r**2 - 2*r**4 - 721*r**2 - 3*r**4 - 356*r**2 = 0?\nAnswer: -1, 0, 8, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176312 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -p - 0*w + 4, -4*w - 4 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -45 + 16 + 40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 less than -1\/755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 + 130. Solve -z - g = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) 2\/11 (c) 13 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2*14\/70*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 2 + -9 + 4. Let z = 5 + q. Let y be 32\/14 + z\/(-7). Is 2 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 + 192. Suppose -24*u**3 - 288*u + 22*u**3 + 0*u**3 + 48*u**g = 0. What is u?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 17 - (-76 - -42)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from crsrrsccsrcssr.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147.25 + 147.55. Which is the nearest to -3\/5? (a) q (b) -51\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q + z - 34, 2*q + 26 = -4*z. Let c = -5.3 - -0.3. Let o = -0.7 + -2.3. What is the second biggest value in c, q, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (-2 - 21) + 114?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -288, -292, -294, -294, -292, -288?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d7 (base 14) in base 4?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*r + (19*r - 235 + 235 + (-4 + 4 - 2*r)*(0 - 1 + 2))*(2 + 0 - 1))*(-6*r**2 + 0*r**2 - 4*r**2) as l*r**3 + d*r**2 + m + o*r and give l.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2636 rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20314 - -1?\nAnswer: 20320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/4)\/(2337\/(-2964)). Are -2 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(6*l - 3*l - 2*l) - 3*l + 0*l + 4*l + l - 3*l + 4*l - 62 + 62 + 14*l)*(-2*l + 5*l + 0*l).\nAnswer: 57*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 483030, 5, 1 in descending order.\nAnswer: 483030, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 3, e: 5}. Give prob of picking 1 e, 1 x, and 2 n.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(20))*-6)**2 - ((sqrt(50)\/(sqrt(90) + sqrt(10) - sqrt(10)))**2 + sqrt(5) + 1 + 2).\nAnswer: 431*sqrt(5) + 9364\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 + -1045125?\nAnswer: -1045022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/sqrt(192)*-4 + (sqrt(162) - (sqrt(162) + 3*(0 + sqrt(162))))**2.\nAnswer: -sqrt(2) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*i**3 - 9648*i**2 - 64604*i + 27384.\nAnswer: 4*(i - 489)*(i + 7)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -23. Calculate the remainder when i is divided by 32\/5 + (-27)\/(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16127, 16126, 16125, 16124, 16123, 16122?\n\"Answer: -j + 16128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -8) + (-6)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -178741 divided by -5412\nAnswer: 178741\/5412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35aa02 (base 11) to base 10.\nAnswer: -570880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -33 + -5 + 1 + 3 - (-2 - 24)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -3 - -38)*(-2)\/(-2). Let i be 5*1*49\/m. Let u(z) = -9*z + i*z + 4*z. Let l(k) = -11*k**2. What is u(l(j))?\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 i, 1 x, and 1 o when four letters picked without replacement from dvifdox?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1994140 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 82. Let n = k + 19. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/2, -35 in descending order.\nAnswer: 1\/2, 0.2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8626 (base 10) in base 3?\nAnswer: -102211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2*f**2*p**2 + a**2*f*p**3 - a**2*l - f**2*l*p**3 - f**2*p**2 + 5*f*p**2 - 36*l*p**3 wrt p?\nAnswer: 6*a**2*f - 6*f**2*l - 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*u - 40*u = -4237 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**2 - 8*y**2 - 7*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*u**5 - 52*u**5 + 55*u**5 + 2*u**5 - 4*u**5 + u**5 + (-3*u**3 - 3*u**3 + 7*u**3)*(578*u - 10*u**2 - 578*u).\nAnswer: 57*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00824476739 rounded to 6 dps?\nAnswer: -0.008245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 - 12)*(2 - 2 - 3*u).\nAnswer: 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.318 + 0.012. Let n = 1.33 - a. Which is bigger: -0.09 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 919*l**9\/252 - l**5\/60 + 32*l**4\/3 + 702*l**2 - 3*l. What is the third derivative of s(r) wrt r?\nAnswer: 220560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240\/12443 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 178, 173, 166, 157, 146, 133?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 84 = -x. Let n(k) = 5*k + 85. Let p be n(-7). Let l = x + p. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 9*f + 22. Let q(d) = -459*d + 2298. Let w be q(5). Give c(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9 + 1)*-1*60\/200.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376044.\nAnswer: 2, 23, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1316*k + 159*k - 97 + 991 + 263 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 2, f: 4, i: 6}. Give prob of picking 3 i and 1 f.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**3 - 5 - 20*h**3 + 44*h**3 - 12*h**3 + h - h**4 to the form g*h**4 + a*h + i*h**2 + u*h**3 + o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (365\/292)\/((-105)\/36)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 3*s + 4. What is z(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-9.3345\nAnswer: -9.8345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-7 - 4) - 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -254 + 481. Let w = -227.45283 + -0.53717. Let i = u + w. Round i to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let h(r) be the third derivative of -r**5\/60 + r**4\/8 - 53*r**2. Let c(t) = -4*t**2 + 10*t. Let y(i) = 6*c(i) - 20*h(i). Give y(a(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98664 is divided by 802?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -7*l + 28. Suppose -3*g = -l - 8. Suppose -432*f + 1035 = -99*f + 12*f. Solve -g = -2*v - f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7757*f + 6. Suppose -2*r - 10 = -8. Is l(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1576\/(-44) + 8\/(-44). List the prime factors of (4\/3)\/((-4)\/t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -707\/19746 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 10:22 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411858771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -1\/4, -1, -48, -815.\nAnswer: -815, -48, -3, -1, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {j: 2, b: 4, q: 10}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.316959mm to nanometers.\nAnswer: 5316959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(117))*3 + sqrt(117) + sqrt(117) + 1 + sqrt(117) + -4 + -2 + -1*sqrt(117) + -5)**2.\nAnswer: -390*sqrt(13) + 3094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, h: 1, j: 2, c: 1}. What is prob of sequence jhc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(136) + sqrt(136) + (-5*(-1*sqrt(136) - sqrt(136) - sqrt(136)) - sqrt(136))))\/(3*sqrt(40)\/sqrt(5)*-3))**2.\nAnswer: 4352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by ((-77)\/11 - -33) + -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**4 - 8683*f*s**2 - 185*s**2 + 863*s wrt f?\nAnswer: -4*f**3 - 8683*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8)*c*c**(1\/7))**(-10\/13) assuming c is positive.\nAnswer: c**(-425\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -7 (b) 0.0072 (c) -0.939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/4*2\/(-8). Let f be (2 - y)\/2*175\/(-35). Let v(t) = -t**2 + 6*t + 4. Let c(s) = -s**2 + 3*s + 2. Determine f*c(m) + 3*v(m).\nAnswer: 2*m**2 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 12*h + 94 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 40 = 3*g. Let h be ((-2)\/56)\/(14\/g). Let i = h - 152\/245. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z**2 + 1256*z - 124739 - 9*z**2 + 26143 - 11*z**2 = 0. Calculate z.\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92155137.\nAnswer: 3, 127, 241877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2726 + 2756 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 20996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*a = -31, -3*n = -4*a + 9 - 34. What is the units digit of 28\/(0 - (2 - n))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 376066 and 6962.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02514 + 5.43114. Let r = 16.6 + -11.3. Let y = j - r. What is y rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*n - 37, -5*j = 4*n - 19 - 40. Let s be 38*(n\/12)\/7*394. Suppose -2*f + s = 2*h + h, -4*f + 7477 = 3*h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-2))\/s)\/((s*s*(s\/(s\/(((s*s**4)\/s)\/s)))\/s)\/s))**(-32)\/((s**(1\/4))**(-14\/9))**(5\/16) assuming s is positive.\nAnswer: s**(9251\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4066, 4082, 4098, 4114, 4130, 4146?\nAnswer: 4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - -2*sqrt(209)))\/sqrt(11) + -4)**2.\nAnswer: 16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 25210*w**2 + 201440*w + 402720.\nAnswer: 5*(w + 4)**2*(w + 5034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.36 - 8.3. Let g = j + -0.16. What is g rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75198 - -394112714\/5241. Is z not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 3 (c) -1560 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:41 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-2 + -16 - (8 - (18 + 2)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2110.9 - -2110.8990443. Round j to 5 dps.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20991, 20993, 20995, 20997, 20999, 21001?\nAnswer: 21003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e3b5 + 2?\nAnswer: -6e3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s - 15*s + 22*s + 13*s + 19*s - 50*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i - 1123 = -3*k, 0 = -5*k - 5*i + 1805. Let x = -1139 - -1147. Suppose -x*w - 30 = -k. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3297477610.\nAnswer: 2, 5, 7, 61, 643, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4373.291km in micrometers?\nAnswer: 4373291000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**2 - g**2 - 3*g**2. Let l be k(1). Suppose 12 = h + l*h. Solve 0 = -2*q - 2, h*a + a - 4*q - 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(0 + sqrt(108) - (-2*sqrt(3) + 2) - ((sqrt(3) + 0)*1 - -1*sqrt(147))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 34263*d. Let o(m) = 2*m. Calculate o(t(l)).\nAnswer: 68526*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -6, 0*d - 2*d + 4 = -2*r. Let j(y) = -y**3 - 5*y**2 + 2*y - 1. Let p be j(r). Let x = p + 40. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/120 + j**5\/60 + j**4\/24 - 9022*j**2 + 1. Let i(o) = -7*o**3 + 2*o**2 + 2*o. Determine -i(c) + 2*u(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4487944 is divided by 47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/15)*p*p)\/p*p**18)\/(((((p*p\/(p**(16\/3)\/p*p))\/p)\/p)\/p)\/p**(-2\/55)))**(-29) assuming p is positive.\nAnswer: p**(-40136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 15*a**2 - 17*a + 27. Let o be t(16). Let v(u) = -u**2 + 10*u + 3. Let r be v(12). Let n be 3 - (-3)\/r*24. Put o, -0.2, n in decreasing order.\nAnswer: o, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-45)*(k\/(k**(1\/7)*k))\/k**(-6) assuming k is positive.\nAnswer: k**(-274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-637)\/21) + 0\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/(-85) - 9906\/(-10). Let x = -376 + v. Suppose 0 = -5*o + x - 74. Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - q - 7 = 0, 3*m - 8*m = -4*q - 7. Suppose -6*j + m*j = -15186. Suppose r + j = 5*d + 1885, 2 = -r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6174, 6185, 6196, 6207, 6218, 6229?\n\"Answer: 11*z + 6163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -15.3, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*y**3 - 46*y**3 + 117*y**3)*(-7 + 3 + 3)*(-5 + 1 + 2)*(y + 0*y - 2*y).\nAnswer: -302*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(12\/7)\/a*a\/(a\/a**19) assuming a is positive.\nAnswer: a**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**2 - c + 1. Let d(t) = -13*t**2 + t - 1. Calculate -7*d(q) - 6*n(q).\nAnswer: 13*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/13 greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2 - 2 - r. Let n(g) = 2*g**2 + 4*g - 4. Let k(l) = 2*l**2 + 5*l - 5. Let m(p) = 4*k(p) - 5*n(p). Determine m(o(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 14*t**2 + 5*t + 7. Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 - 2*n**2 - n. Let w(i) = -i. Let h(p) = p + 2. Let y(d) = h(d) + 2*w(d). Let g be y(0). Is j(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -10. Let a(o) = o**3 + 6*o**2 - 6*o + 8. Suppose 5*g - 8*g - 8 = 5*p, 2*p = g - 12. Calculate the least common multiple of g and a(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 12, -3.8, 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(98) - (2*sqrt(2)*-1 + sqrt(2)).\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7.044, 5, -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -74806, -74766, -74730, -74704, -74694, -74706?\n\"Answer: -h**3 + 4*h**2 + 35*h - 74844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/6489245 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -62.64, 2, 2051.09 in descending order.\nAnswer: 2051.09, 2, -62.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(-12*m - 2*m - 2*m) + 2*m + 4*m - 2*m - 23*m to v*m + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7 - 5.7. Let v = 0.8 + 0.2. What is the nearest to c in v, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f**4 + 0 + f**2 + 2*f**3 + 0*f**3 + 8*f**4 + 3 as d*f + t*f**2 + v + o*f**4 + k*f**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*i**2 - 130*i**2 + 1009 - 267*i - 1009 - 78*i wrt i?\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let l(u) = -u. Let i(m) = -11*l(m) - 6*w(m). Let p(a) be the first derivative of a**3\/3 + 1. Determine p(i(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 - 24 = 0. What is the second derivative of 27*w**2 - 20*w - w**2 - b*w**2 wrt w?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998304 divided by 1376?\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -797 + 695. What is the third smallest value in 1\/2, y, 3\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = v - 3*v. Let c(m) = 4*m**3 + 4*m**2 + 5*m + 4. Let y(z) = 6*z**2 + 4 - 2*z + 7*z + 5*z**3 - 2*z**2. Let l(p) = v*y(p) - 6*c(p). What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1708498 (base 10) to base 3.\nAnswer: -10012210121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + 4*j. Let p be x(-3). Suppose i + 2*u = 7, -3*i - 4*u = -p*i + 1. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63488 - -242. What are the prime factors of d?\nAnswer: 2, 5, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 20 = 2*c, 4*c + 28 = -0*a - 3*a. Let u be 153\/27 - a\/(-6). Suppose -18 = -2*b - 5*k, -14 = -4*b - 2*k + 6. Which is greater: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 5. Let d be b(2). Find the common denominator of -68\/9 and 12\/d*(2 + 177\/(-21)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*u - 10 = -237*u. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r - 3*s - 1884, -s = 4*r + 2518. Let j = -458 - r. Calculate the least common multiple of 2 and j.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7941 + -f7ff?\nAnswer: -7ebe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 1686682*v + 11806676.\nAnswer: 2*(v - 843334)*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + u = 57776, 43332 = -3*j - 0*u - 2*u. Let p = -231021\/16 - j. Calculate the common denominator of p and -94\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n + 4*n - 25, -2*n = -k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29036, -29035, -29034, -29033, -29032, -29031?\nAnswer: -29030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = m - a + 4, -3*a = 5*m + 53. Is m\/((-195)\/(-13670))*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -87.87. Let r = v - -151.13. Let c = r + -154.000099. Round c to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 12. Suppose j*l - 452 = 2*l. 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 i, 2 v, and 1 n when four letters picked without replacement from {v: 5, n: 5, i: 2}?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3105 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 22*t + 10. Let x(o) = -2*o - 1. Let z(q) = l(q) + 10*x(q). Let g(d) = 3*d**2 - 4. What is z(g(m))?\nAnswer: 6*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:36 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-15)*3\/2. Let y = -126 + 125.845. Let a = y + 0.455. What is the closest to 4 in t, -0.2, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -33*x**3 + 49*x**2 + 6*x + 6. Let i(t) = -t**3 + t**2 + t + 1. Let f(z) = c(z) - 6*i(z). Find the third derivative of f(g) wrt g.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413839348 a multiple of 4771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147214 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147145 - 1?\nAnswer: -147146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129864491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 47.\nAnswer: 9\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -598106161732134.\nAnswer: -598106161732136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -15\/88, 3\/5, 0.2?\nAnswer: -15\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 - 3*a**2 - 2*a + 1. Let c be j(-2). Let g = -39 + c. What is the units digit of (-366)\/g*(3 - (-2)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1216) + (sqrt(1216) + -1)**2.\nAnswer: -8*sqrt(19) + 1222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 11*h = -4*o + 24, 3*o - 60 = 12*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77691 is divided by 38845.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)*(-1)\/(-2). Let z(j) = j**2 + 7*j + 16. Let i be z(-3). Suppose i*p + 27 = 13*p. Solve a = -d, g = -3*a - 8*d + p*d + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.3 (c) 0.163 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41301707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*d = 49 + 51, -5*m - 536 = 3*d. Suppose -320*x = -299*x + 21399. Let v = m - x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 23 - 193 = 0. Let v = -52 + l. Suppose b + 3*r - 10 = r, -10 = 5*b - v*r. Solve -2*a + b*a = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(4 - (16 - 4)). Is 3795 - 6\/18*p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -57b + 145?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyyo when four letters picked without replacement from oyyyyyyoooy.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**5\/60 - n**4\/8 + n**3\/2 - 88*n**2 - n. What is h(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62529367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119695 is divided by 258.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -529 + -8?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8071 is divided by (-17 - (15 + -33)) + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1377)*3*6 + (-1 + (sqrt(1377) - ((sqrt(1377) - (sqrt(1377) + 0)) + sqrt(1377) - sqrt(1377))))**2*-6 + 1.\nAnswer: -8267 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394934*0.1.\nAnswer: 39493.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -6. Suppose 4*p - g = 2*t, -5*t + 4*p + 1 = 2. Let h = -1\/2 - -13\/18. What is the smallest value in h, -0.6, t?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 + 58*h + 13. What is u(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-18))\/(-2))\/((-4)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(3) + 1 + sqrt(3) + (sqrt(3) - (0 + sqrt(3))) + -4)*-2)**2 + -1 + -4 + -6*(sqrt(243)*1)**2*3.\nAnswer: -3911 - 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62860 - 45d?\nAnswer: 62402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -1, -3*i + 5*h + 8 = 0. Let x be (2001\/21)\/i + -1. Let j = x - 94. Put 0.5, j, 0.1 in decreasing order.\nAnswer: 0.5, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111100111010100 (base 2) to base 6\nAnswer: -2435300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 = z + 523, -5*z = s + 16 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55333 is divided by 2822.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.37 in 20, -1\/473, -13?\nAnswer: -1\/473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**5 - 6*o**4 - 2*o. Let i(g) = -5*g**5 + 7*g**4 + g**3 + 3*g. Let j(d) = 4*i(d) + 6*k(d). Factor j(x).\nAnswer: 4*x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 43 = -4*b, 2*z + 2*z = -0*z - z - 2*b + 23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/19 (b) -44 (c) 372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14250067.\nAnswer: 13, 1096159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3945, -7861, -11739, -15579?\nAnswer: -19381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.015 in 2\/3, 0.4, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3 - 2*z**2 + 3*z + 2. Let k(o) = -8*o - 42. Let t be k(-5). Let r be n(t). Calculate the greatest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (2 - (2 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**4 - g**2 - 1. Let x be 8\/(-4) - (0 + 0). Let m(i) = -i**2 - 2. Let a(b) = x*m(b) + 2*r(b). What is the derivative of a(c) wrt c?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 223130?\nAnswer: 223210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-1290) + (-2380)\/153510.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*y**3 + 199*y?\nAnswer: -384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/10, 0.62, 0.5, 2\/9, 0.8 in increasing order.\nAnswer: -3\/10, 2\/9, 0.5, 0.62, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15)\/(1336\/10020)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*q**3 + 5*q**3 - 6*q**3 - q**3 - 8*q to the form b + f*q**2 + v*q + n*q**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 6. Let j be ((-2)\/4)\/((-2)\/(-24)). Let q be p(j). What is the remainder when 31 is divided by (-18)\/q - 122\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17713 + -12344. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3064180698.\nAnswer: 2, 3, 47, 839, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 2267\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13966, 14171, 14376, 14581, 14786, 14991?\nAnswer: 15196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 1\/14*g**4 + 8\/7*g**2 + 8\/7*g - 4 + 10\/21*g**3. Factor l(s).\nAnswer: 2*(s + 1)*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5020 (base 10) to base 9\nAnswer: 6787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 8*n**2 - 4*n + 11. Let y be f(-8). Suppose y = -5*t + t + o, -1 = t + 3*o. Let q(p) = -p**2 - 12*p - 10. Determine q(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*s**3 + 214*s**3 + 26*s + 261*s wrt s.\nAnswer: 576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 259*y**2 - 137*y - 799. What is z(-130)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2725*i**3*l**3 - 985*i**3*l**2 + i*l**2 wrt l.\nAnswer: 16350*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1 + sqrt(108))**2 - (4*sqrt(3)*-1)**2.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 1. Let c = -5 - -4. Let o(v) be the first derivative of -3*v**2\/2 - 4*v + 22. Determine c*o(u) + 2*h(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1483607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4906*r**4 - 200*r**3 + 13703*r**2 - 27*r.\nAnswer: 117744*r - 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 152. Suppose -24 + 78 = 3*y - 5*t, 2*y = 5*t + 41. What is the remainder when v is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264593 < 264589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*r + i - 319, -5*r + 794 = i. Let u be -2*(r\/25)\/(-3). Let y = u - 4712\/675. What is the common denominator of -103\/6 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 385\/49 - (-3)\/21. Suppose f + j = 26. Sort 4, 0, f.\nAnswer: 0, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s**2 + 4*s - 1. Let l be m(2). Suppose -4*k + 8*k - 35 = -5*z, 0 = 3*z + l. What is the units digit of 16\/40 + 436\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 17*h - 27. Let v be w(6). Suppose 0 = 5*x - 5*d - 0*d, 15 = -x + 4*d. Solve -b = -x, g - b = -v*b + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 0. Let b(l) = 2*l**2 + l - 2. Let q be b(-3). Suppose -j + 0*j + q = a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*i + 3. Let a(s) = -s + i + 4 - 3. Let r = -30584 + 30581. Calculate a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*l - 102*l - 784 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14.19 * -2602\nAnswer: 36922.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2459, -10064, -23177, -42158, -67367?\n\"Answer: -60*z**3 - 2394*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {q: 1, z: 2, a: 1, i: 9, b: 1, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 7. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from nnnnnnnvvnnnnnnnnnn?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(0 + 3 + -2). Let z(k) = -k**2 + k - 3. Let f be z(-5). Let u be 11\/f - (-2)\/3. Is a < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 84, 6\/11, 5\/2, 1\/167, -5 in ascending order.\nAnswer: -5, 1\/167, 0.5, 6\/11, 5\/2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Let b(z) = 1 + 2 - y - 2*z**2. Let t(m) = -m**2 + 0*m**2 + 2*m**2. Calculate b(t(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 127*j**2 - 7*j + 23. Let m(c) = -190*c**2 + 10*c - 30. Determine -5*m(i) - 7*u(i).\nAnswer: 61*i**2 - i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65998010 by 891865.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32\/324515 or 1?\nAnswer: -32\/324515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54259 + 54262. Suppose -2\/9*u**2 + 0 + 0*u - 2\/9*u**d = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6155 + 39.4\nAnswer: -6115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164.9 - 164. Round s to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -84. Let x = l - 9. What is the highest common factor of x and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/9860 and -3\/680?\nAnswer: 19720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667853.5ug to nanograms.\nAnswer: 667853500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -888 + 1954. List the prime factors of f.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + 2*o)*(-3 + 1 - 2) + (6 - 2 + 0)*(2 - 2 - 3*o).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxqqqxsenn. Give prob of picking 1 f and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -56*l. Let a be h(-1). Let m(x) = -x**2 - 6*x + 9. Let s be m(-5). What is the highest common divisor of a and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2 - 552*s + 1875 wrt s.\nAnswer: -2*s - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1090 and (-358)\/(-537) - ((-25)\/2 + 0).\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3074*o**2 - 1688*o + 3374*o - 11839*o**2 - 1686*o)*(-2 - 2 - 3)*(2 + 0 + 0).\nAnswer: 122710*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -4*j + 2, 2*j = -5*o - 7. Let p(f) = 55*f**3 - 2*f**2 + 1. Let h be p(o). Let w = h + 83. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppevpvpvepepeveee. Give prob of picking 2 e.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3376, -3360, -3344, -3328, -3312?\n\"Answer: 16*b - 3392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25\/4 - 6. Let m(j) = 23*j + 188. Let a be m(-8). Put 3, a, l, -0.3 in ascending order.\nAnswer: -0.3, l, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13540*y - 5*j = 13536*y + 17, -4*y - 2*j + 10 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - v**3 + 13.\nAnswer: -v**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 2. What is the units digit of (1 - -1)\/(v\/(-81))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 3*d**2 + 0*d**2 + 2*d + 3*d**2.\nAnswer: -5*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*r + 5 = -0*l, 47*r = 3*l + 48*r - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27654?\nAnswer: 2, 3, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*a - 36, -d = -a + 3 + 19. Let k(i) = -12*i - 6. Let m be k(-3). Let b = m + a. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1 - 3*q**2 + 2*q**2 - 1. Let k be -9 - -8 - 1*-3. Let l(j) = 6*j**k + 252 - 252. Calculate l(h(s)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 35*o**6\/6 - 19*o**5\/20 - 1595*o**4\/6 + 4398*o. What is the third derivative of j(h) wrt h?\nAnswer: 4200*h - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1, 6.93, 2, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -5 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5 = -9*h. Suppose -o + h*s + 120 = 0, 3*o - 2*s = 162 + 159. Is o a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:54 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 7:44 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408137 times -0.24?\nAnswer: -97952.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -576)*(7\/14 + 1). Find the common denominator of (-2)\/(-7) + y\/126 + -3 and 145\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, y: 2, c: 1, v: 1, e: 1, f: 1}. Give prob of sequence vyhf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/10 - 2068\/(-55).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -4, -1, -142, 0, -3 in increasing order.\nAnswer: -142, -4, -3, -1, 0, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*c**3*g*j**2 + 30*c**3 - 453*c*g**2*j - 20*g**2*j**2 + 38*j**3 wrt j.\nAnswer: -28*c**3*g - 40*g**2 + 228*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4595.\nAnswer: 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/12 + n**4\/12 - 2*n**3\/3 + 38*n**2. Let t(b) = -b**2 - b + 1. What is -h(m) - 4*t(m)?\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 101100001000001?\nAnswer: -101100000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (0 - -3) - -3. Let u be 1*((p - 1) + 5). What is the third derivative of 3*r**2 - r**u - r**5 - 2*r**5 wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/21 (b) 2\/3 (c) -23 (d) -3\/5 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -215*r**4 - 5*r**3 + 26*r - 5. Let w(x) = 322*x**4 + 7*x**3 - 40*x + 7. Let h(g) = 7*m(g) + 5*w(g). What is the second derivative of h(v) wrt v?\nAnswer: 1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 10*g + 20 = -4*g, -5*q + g = 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a603a63 + -2?\nAnswer: -a603a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 11*h = 59, 2362*a - 2*h + 9 + 21 = 4725*a - 2359*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 4*g - 2 = 0, -43 = -4*i + 2*g - 35 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 14 + (10 - 13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -901, -915, -951, -1021, -1137, -1311, -1555?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.88 and 28?\nAnswer: -192.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5227026 to the power of 1\/2, to the nearest integer?\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 420*t**2 + 5*t. Let a be i(-1). Suppose -4*f + 1599 = a. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.03, -4 in decreasing order.\nAnswer: 5, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1648 and 280704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4076, -118, 0.4, 5 in descending order.\nAnswer: 4076, 5, 0.4, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -5. Calculate the common denominator of (-17)\/(-45)*(-2)\/(p\/(-6)) and -11\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -486 + 477. Suppose 2*n = -16 - 2. Is i less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 7*b - 7. Let t be w(5). Suppose -3*g = -3*f - 8*g + 1, -11 = -t*f + 5*g. Suppose -5*c = f*c - 518. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 18*k - 15. Let z(n) be the first derivative of n**3\/3 - 2939. What is z(o(w))?\nAnswer: 324*w**2 - 540*w + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1875 divided by 5?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 5*z**2 - 52*z - 3. Determine n(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 10. Let d(m) = 6*m**3 + 14. Let x(q) = q**3 + 1. Let u(j) = s*d(j) - 4*x(j). Differentiate u(i) wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 303056*s\/7 - 51159342\/7.\nAnswer: -2*(s - 151359)*(s - 169)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/1479 and -43\/48144.\nAnswer: 1396176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6*v - 48. Let c = 14 + v. Suppose 4*l = c*l + 104. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/3 + 99236*c\/3 - 1290406\/3 = 0. Calculate c.\nAnswer: -49631, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36831 (base 9) to base 15.\nAnswer: -74dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15662, 13, -10 in ascending order.\nAnswer: -10, 13, 15662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160954 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(117) + -2)*1*-1)**2.\nAnswer: -16*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7920*s + 2*m = 7916*s + 62, 3*s - 4*m - 52 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*v + 9. Suppose -15 = -h + 3*k - k, v*h + 3*k - 60 = 0. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29925\/27 - (-4)\/6. Suppose -i - 365 = -2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 82. Suppose -5*a = -c*a + 76500040. Let w be 96\/72 + (-1)\/((-6)\/a). Round w to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 - 91\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 512\/21 + 64\/21*j + 2\/21*j**2.\nAnswer: 2*(j + 16)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-176)\/(-3) + 1 - 16\/24. Let w = 616 + j. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**2 + n**2)*(-n + 2*n**2 + n) + 2*n**3 + 3*n**4 - 2*n**3 + (-2*n - 3 + 3)*(2*n**3 - n**2 + n**2).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 5*d - 15. Let i = d - 9. Is 2 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x - 15. Let y be (18\/(-54))\/(1\/9) - -3. Solve -2*h + 12 = h - 2*c, y = c + x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 9*s + 7. Let x be n(8). Let y = -10 - -5. Let q = y - x. Let b(u) = -2*u - 7. Let w(h) = -h - 4. What is q*b(p) + 7*w(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155*w**3 - 25*w + 10.\nAnswer: -930*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -5. Let l = 0.8 + -1.3. Which is the second biggest value? (a) l (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 10. Let k = 1065 - 1037. Sort k, -3, a in ascending order.\nAnswer: -3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**4 - 3\/2*f**2 - 41*f + 1 + 0*f**3. What is the derivative of i(v) wrt v?\nAnswer: -12*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 7446?\nAnswer: 7446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 221, 331, 441, 551?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 62, -0.5, 86, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172 + -169. Suppose -259 = -v - 2*u, -5*v - h*u + 773 + 487 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95774719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519576 is divided by 139?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24592252571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)*3*(-8)\/(-18). Suppose 4*v - l + 938 = -401, -3*v = n*l + 1009. Let r = 298 - v. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266 + 2*g + 516 - 287 - 11*g**3 to the form p*g**3 + k*g**2 + f*g + z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 124690*v - 3. Let z(p) = -2*p. What is j(z(n))?\nAnswer: 8*n**2 - 249380*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 248147 divided by 21?\nAnswer: 248147\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 91.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13932 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880)*-1 - (4*sqrt(80))\/sqrt(4))\/(4*(-1*sqrt(1440) - sqrt(160)*2)))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/24 + 2*k**3 - 81*k**2\/4 - 6*k + 7. Find d, given that a(d) = 0.\nAnswer: -27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 14. Let r(c) = -c**3 + 3 - m*c**2 + 4*c - 3*c**3 - 4 + 5*c**3. Is r(7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80*(-58)\/29)\/((-44)\/22)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 139.15 and -40457.\nAnswer: -40317.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9800 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -51. Let s be -5*(1\/u)\/((-30)\/48). Suppose -n = d - 7, -s*d - n = 4*n - 2. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6580)\/245 + 27)\/((-3)\/483)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126200.\nAnswer: 2, 3, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-42)*7)\/(1\/6). Suppose 5*m + 0*r - 1039 = -l*r, -4*r + 215 = m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33941.21 micrometers?\nAnswer: 0.03394121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 105000 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from oogeaeoeoxdoe?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z - 4. Let h be f(-6). Let c be 4\/h*4\/4. Let b = 102.2 - 102. What is the biggest value in b, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 - 3950*p**2 - 5485*p + 1210230 = 0 for p.\nAnswer: -18, 17, 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*1 + -2 + (sqrt(700) - ((sqrt(700) - (2 + sqrt(700))) + -4 - sqrt(700))) + 1*(sqrt(700) + (sqrt(700) + -2 + sqrt(700) - sqrt(700))*3))**2.\nAnswer: -280*sqrt(7) + 34304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s + t - 121, 5*t = 5*s - 145. Suppose -2*y + 441 - s = -q, -5*q + 818 = 4*y. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4743260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -441?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - 4 - (-2 - 52)\/(-6). Let d be 2 + 3\/(-2 + 5) + 10. Put -2, d, m in decreasing order.\nAnswer: d, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125736 divided by 8.\nAnswer: 15717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 - 355. Let t be i\/150*8*-1. Let m = -2 - -2. Solve -v = -t - m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*v = -5, -5*g + 31 = -g + 5*v. Solve -9 = o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 726 divided by 17.\nAnswer: 726\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(425) + sqrt(425))**2 + -5*(1 + sqrt(425)).\nAnswer: 75*sqrt(17) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*j**2*l**2 - 3*j**2*l + 721*j**2 + 131563*l**2 wrt j.\nAnswer: 12*j*l**2 - 6*j*l + 1442*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-12)\/(-36)*12897 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398291 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 - 2*m - 1. Let v be w(-1). Suppose -4*a - 8*l + 1232 = -4*l, 4*l = v. Suppose 4*i - 948 = -a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/4373261 and 59\/6?\nAnswer: 26239566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 4*q + 15, -371*w + 3*q = -367*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11*(-1)\/88)\/((-3)\/3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**2 - 8*p - 5. Let h(d) = -4*d + 31 + 5*d - 34 - d**2 + 4. Calculate -5*h(a) - s(a).\nAnswer: -a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -13, -65, -149, -271?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 20, 2\/9, 32, -2.\nAnswer: -2, 0, 2\/9, 1, 20, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4545 and 370165.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 n when four letters picked without replacement from {n: 4, z: 7, d: 7}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*5 - 77\/(-22)) + (-225)\/54. Which is the third smallest value? (a) y (b) 1\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 - 5736*g**3 - 141926*g**2 + 636600*g - 659576 = 0. What is g?\nAnswer: -2843, -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(2 + (-4 - -3)). Let r be v + 4 - (0 + -2). Solve -4*m = -5*g + 26, -3*g = -r*m - 0*m - 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -4*b + 1, -18 = -4*y - 5*b. Find the common denominator of (-91)\/y*2\/6 and 12\/96 - 814\/(-80).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-5)\/5 - 6. Which is the nearest to -1? (a) -5 (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-166)\/581*(-3 + -4). Solve -21 = 4*o - v, -18*o + 13*o - 10 = y*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005675 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69997\/18 - 3893. What is the common denominator of r and 5\/56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 12 = -2*m, 7789*r - 4*m - 9 = 7790*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/42 + 377\/2436)*(-9 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -22*w - 4. Calculate the common denominator of 20\/w + -3 + 12 and 186\/136 + 3\/(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705 = 85*r - 80*r. Solve 10 = r*f - 136*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from {o: 9, w: 2, h: 1, e: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/42)\/(10\/35).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i + 4. Let k be (18\/(-8))\/(1\/(-4)). Suppose 1530 = 10*v - 1850. Let a = -336 + v. Let n(m) = m - 1. Give a*c(t) + k*n(t).\nAnswer: 2*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9806*t. Let u(r) = 3897*r. What is z(u(i))?\nAnswer: 38213982*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22. Let w = 3789 + -3789.4. What is the third biggest value in 3\/19, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16456 - -41642.\nAnswer: 58098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -55. Suppose -7*a + 405 = 3*l - 5*a, -i*l = 2*a - 675. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, 8, 94, 268, 560?\n\"Answer: 5*k**3 - k**2 - 4*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -2*b - 20, -31 = 3*b - 2*s - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7022*w - 3620*w = 440537 + 304403 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*s**3 + 80*s**3 - 125*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 6*f + 8. Let k be v(5). Let q(c) = c**2 + 2*c - 2. Let w be q(5). What is the highest common divisor of w and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8704b6 (base 16) in base 15?\nAnswer: -b9bbe6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 15. Calculate s(-17).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/9)\/(6\/(-9)). Let k = s + 2. Solve -k + 4 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, 0, 1273\/61?\nAnswer: 1273\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, and 2 q when four letters picked without replacement from uvrvuququvvqlqq.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 12. Let s be f(-8). Calculate the remainder when 16 is divided by 296\/32 - 1\/s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-913)\/166)\/(((-10)\/4)\/1)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*5\/(-10)*(-2)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -163220 (base 7) in base 9?\nAnswer: -48338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 2*i**2 - 3*i - 3. Calculate q(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 3*p - 4*p + 107, 0 = -p + y + 87. What is the remainder when p is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71681 or 71678?\nAnswer: 71678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4640 and 2030?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 - -7.79. Let p = 16 + -13. Let l = p - d. Which is the smallest value? (a) l (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/255051 and -54\/538441.\nAnswer: 4845969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198063 and 708.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.747340376 + 0.0734.\nAnswer: -0.673940376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 3, p: 4, t: 1, l: 6}. What is prob of picking 2 h?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27261664.\nAnswer: 2, 881, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9320203717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/6557 + 19687\/52456. Let m = -387\/2 - -201. Let o = m - 6. Which is the nearest to -0.1? (a) -0.2 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m)*(-3*m - 2*m**2 + 3*m) - 4*m**3 + 3371 - 3373 + m**2 + 2*m**3 - 114 + 114 - 3*m**3.\nAnswer: -7*m**3 + m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 6}. What is prob of picking 1 l and 1 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26293478, 52586954, 78880430, 105173906?\n\"Answer: 26293476*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)*y**(4\/9))\/((y\/(y**(-2\/13)\/y*y)*y)\/y**(-4)) assuming y is positive.\nAnswer: y**(-824\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 76 = l, -3*a + 369 = 4*l + 378 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 17.\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (107 + -32 - 19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 3*c**2 - 2*c + 3. Let v be t(3). Let f be (-8)\/(-10) + -2 - v\/15. Let o be (-230)\/(-40) - (f + 6\/8). Solve 3*w - o = 0, 6*w = n + w + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 14 = 4*p, d = -8*p + 3*p - 4. Let f(a) = 8*a - d*a - 1 - 2*a**3 - a**3. Is f(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5001 at most 5001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -9 - (-18 - -24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**3 - 85795*r**2 + 85795*r**2.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*a = -3, -3*s + 4*a = s. Let d = -1 + s. Suppose d*b = -p + 4*b + 10, 0 = -4*p + 5*b + 43. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 14 - 9. Calculate the remainder when 18 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14.3 and -24821352.\nAnswer: -24821337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -369 + 373. Solve 3*c = 2*r - 0*r, k*c = 2*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8088 - -68.4.\nAnswer: -8019.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 6*t + 2. Let c(w) = -2*w**2 + 5*w + 2. Let f be -5*(-4)\/(-10)*2. Suppose 0 = 5*d - 4*d. Suppose 3*p - 5 - 4 = d. Give f*c(v) + p*u(v).\nAnswer: -v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 116\/2 + -3 + (-35)\/(-7). Let f be ((-36)\/10)\/(12\/w). Let b be (-40)\/12*f\/(-15). Is b at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/301725 and 13\/627750.\nAnswer: 93534750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = -5*f, 4*o + 5*f - 27 = -0*f. Suppose -o*c - 3*n + 3 = 0, 5*n - 2 = 3*c + 3*n. Suppose 5*a - 24 - 86 = c. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 2*r + 5. Let g be z(-2). Let v = -6 - -8. Find the second derivative of 11*h - 8*h**5 + v*h**g + 0*h wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*s + 5, 2*s + 45*w - 10 = 43*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 167*d + 10. Let a be k(12). Suppose y = a - 653. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1053, 1051, 1049, 1047, 1045?\n\"Answer: -2*s + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10789.\nAnswer: 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*o - 1. Let p be (94\/o)\/((-3)\/(-12)). Let v = -9 + p. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491077?\nAnswer: 683, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 31*q = -860. Let u be q\/25*(-5)\/2. Let a(j) = -j**3 - j - 1. Let g(y) = 8*y**3 - y**2 + 2*y + 2. What is u*a(d) - g(d)?\nAnswer: -6*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8c2 (base 13) to base 15\nAnswer: 6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 + 6*o**2 - 10*o - 8. What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 57. Suppose 0 = -m*c + 21. Solve -2*g + c*g + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (606 - 465 - 2*o**3 + 577)*(-3*o + 3*o + o).\nAnswer: -2*o**4 + 718*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -8. Let m be -46 - ((0 - -3) + -1). Let o = -26 - m. Calculate the greatest common factor of o and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 3*p**3 + 3*p**3)*(-8 + 4 - 2)*(1 - 2 + 2).\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*h = -427, 2*m = 3*m - h - 79. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00127533964 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1313)\/87971*871\/(-2)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1292*j**3 + 1752*j**2 - 8*j. Let u(m) = -1292*m**3 - 1750*m**2 + 6*m. Let d(b) = -3*l(b) - 4*u(b). What is the third derivative of d(z) wrt z?\nAnswer: 7752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1755936 and 585312?\nAnswer: 1755936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 362, 1055, 1896, 2627, 2990?\n\"Answer: -43*l**3 + 332*l**2 - 2*l + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 674 + 274 = -4*h, 3*c - 300 = -2*h. What is the remainder when 126 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5280 divided by 8\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 192632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -25 + (-1)\/1. Let c = -8 - f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6)\/((b*b**(-5\/7))\/b))\/(b**(-1)\/((b\/b**(-11))\/b)) assuming b is positive.\nAnswer: b**(527\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5568971 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 3, m: 2, j: 4, n: 2, z: 1}. Give prob of sequence nzy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 y when four letters picked without replacement from {i: 7, n: 10, y: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n - 13. Let m(t) = 14*t + 38. Let y(f) = -11*i(f) - 4*m(f). Find the first derivative of y(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -970, -972, -974, -976, -978?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -876.506925 rounded to the nearest ten?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 52 = -2*v - a, 3*a = -2*v + 13. Solve -2*o + 3*g - 13 = 0, -2*o + g = -0*o + v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlqgdliili. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 + 229*y**2 - 51*y - 237. Let w be b(-46). Put -2, 4, w in increasing order.\nAnswer: w, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917920831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 62*m**2 - 452*m - 348. What is s(-37)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*s + 6 = -s, 3*k = 2*s + 4. What is the units digit of (-16)\/(-32)*(k + 28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2806 - 2467. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-12))\/((-667)\/1932 + (-2)\/(-21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 236*u**2 + 240*u**2 - 187*u**2 + (u + 5*u - 4*u)*(12*u - 23*u - 27*u) to r*u**2 + y + a*u and give r.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - 2. Let g be k(2). Let z be g\/(-35) + (-1820004)\/(-14). Round z to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*g = 526*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43200399?\nAnswer: 3, 11, 1309103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 10130020313?\nAnswer: 10130020213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3\/7 - 39*r**2 + 6837*r\/7 - 27735\/7 = 0. Calculate r.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 + -92. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.036 - 43\nAnswer: -41.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.1 - 95.3684?\nAnswer: 736.7316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n + 29. Let z be 3 - 35\/(-5) - 4\/1. Is 8 a factor of t(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-655)\/(-786))\/(1\/3). Let l(a) be the second derivative of 0*a**4 + 7*a + 0*a**3 + 0 - b*a**2 - 1\/5*a**5. Differentiate l(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12384521203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)\/(u*u*u**(-1\/4)*u)*(u**(-2\/3))**24 assuming u is positive.\nAnswer: u**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*v**3 + 6*v**3 + v**3 - 4 + v**2 - 24*v**3 in the form j*v**2 + z*v + d + k*v**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 14*g + 4*g - 8*g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 2*j + 2. Let m(o) = -o**3 + 7*o**2 - 4*o. Let f be m(6). Let g = -10 + f. What is l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.18 (b) -337963 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let p = -20 + 49. Suppose -c = 3*u - 1, -3*u + 0*u - 4*c + 4 = 0. Let y(w) = -32*w + p*w + u + 0. Calculate y(b(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -9. Let k = -33 - g. Let u = -4881\/17 - -287. Which is the nearest to k? (a) -4 (b) 1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let f(y) = y**4 - 6*y + 1. Let m(q) = -f(q) - 6*z(q). Find the first derivative of m(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 2. Let g be s(-7). Let j(z) = z**2 - 5*z + 3. Let i be j(g). What is the smallest value in -0.3, i, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*j)*(-j**4 - 2*j**4 + 2*j**4) + j**5 + j**5 - 3*j**5 + (6 - 2*j - 6)*(2*j**4 + 2*j**4 - 3*j**4).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 777\/(2 + 30\/(-18)). Suppose 22*i = s + 2817. Calculate the greatest common factor of 78 and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k\/((k*k\/((k*k*k**(2\/9))\/k)*k)\/k*k))\/k)\/k)\/k)\/k)**(-1\/19)*(k**44)**(4\/25) assuming k is positive.\nAnswer: k**(30946\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*k - 67, 79 = 3*k - x + 3*x. Suppose 2*t = k - 9. Let o be (-16)\/(-12)*(1\/(-6) - (-11)\/12). Sort o, 3, t in decreasing order.\nAnswer: t, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2288, -2289, -2290, -2291, -2292, -2293?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 30*s**2 - 20*s + 136. Let x be a(5). What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -5*t**8\/112 - t**4\/24 - t**2. Find the second derivative of z(i) wrt i.\nAnswer: -300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*p + 39, -2*v + 9 + 13 = -4*p. Let k = 11 - v. Solve -k*f = 3*z - 13, 3*z + 3*f = -z + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.2, -4\/3, 0.5, 1493?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 6:35 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 - 1000772*h - 118063248 = 0. What is h?\nAnswer: -500268, -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 7 - 39. Let n(m) = m**3 - 9*m**2 + 8*m - 6. Let d be n(u). Let p be (-1)\/d + 12\/9. Sort 3, 5, p.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3952, 7889, 11826, 15763, 19700?\nAnswer: 23637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1834 + 1934. Solve -6 = -97*d + g*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 163c39 + 0?\nAnswer: 163c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3051 = 2*f - 3331. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c - 3*c + 4*c - 7*c. Let h(x) = -3*x**2. Determine j(h(z)).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*d + 1530 = -452*d for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 22.618.\nAnswer: 23.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -521246.\nAnswer: 104249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2402 (base 6) to base 4.\nAnswer: -21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6041430 + -6041456.199972. Let z = m + 26.2. What is z rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14484230 divided by 21.\nAnswer: -14484230\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 10 = -8*p. Let u(w) = -w**3 + 6*w**2 + 8*w - 5. Let g be u(7). Suppose -g + 5 = a. Put a, -1, p in decreasing order.\nAnswer: a, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 301*s - 302*s - 1.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*l + 44*l - 496 - 2240 = 0 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.019 and 422.\nAnswer: 8.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3419*b**3*u**3 - b**2*u**3 + 18*b**2*u**2 - 20*b**2 wrt b.\nAnswer: -20514*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12239, 24505, 36771, 49037, 61303?\n\"Answer: 12266*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5906?\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -72. Suppose 15 - 6 = -3*m, 4*m + 72 = 5*f. Let c be (6\/(-24))\/((-1)\/f). What is the highest common divisor of c and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5289788 rounded to 2 decimal places?\nAnswer: 2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4780 + 6516.2. Round r to the nearest ten.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**4\/4 + 7*q**3\/3 + 209*q**2\/2 - 1815*q + 197. Factor x(n).\nAnswer: -(n - 11)**2*(n + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 2*p)*(2*p - 3*p + 2*p) - p**2 + 5*p**2 - 3*p**2 + (-3*p - p + 6*p)*(p + p - 4*p) + (2 - p - 2)*(4*p + 0*p - 1 - 17*p).\nAnswer: 11*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 432 + -4?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 - 56\/(-9). Let z = 39 - 39. Solve z = -d + u*v - v - 17, d - v = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6346, 24518, 54780, 97132, 151574?\nAnswer: 218106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 371 = f, 0 = -2*f - 2*v + 104 + 606. What is the units digit of 2 + f\/6*(7 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - (-248)\/(-16))\/((-3)\/196)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 612.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2085192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x - 2*x**3 + (-19 - 5 - 9)*(-4*x**3 + 2*x**3 + 3*x**3) + (x**2 + 0*x**2 + 0*x**2)*(-82 + 82 - 28*x).\nAnswer: -63*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {f: 8, s: 3, n: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 57*20\/270 - 2\/9. Let s be ((-6)\/2)\/(8*q\/32). Let k be 1630000 - 0\/(18\/s - -3). Round k to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 3*a. Suppose -2*z + z = -a*g + 2, z + 5*g - 8 = 0. Suppose 0 - 15\/2*w**z - 1\/2*w - 7\/2*w**2 - 13\/2*w**4 - 2*w**5 = 0. Calculate w.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = 17*o - 12*o, -4*o + 4*q + 12 = 0. Solve -4*g + 5*b + 4 = 7, 0 = o*g - b - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6007860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 20. Determine y(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 34. Determine n(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2\/11, 1, -0.5, 1\/1973?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68716.57 minutes to nanoseconds.\nAnswer: 4122994200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 11*a + 1. Solve m = 4*z - a*m, -4*z - 16 = 4*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -508, -507, -506?\n\"Answer: n - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5, 1, 466, -5.\nAnswer: -5, -3, 1, 2, 5, 466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-f + 2 + 8*f - 9*f**3 - 8*f).\nAnswer: -9*f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*c = -1491. What are the prime factors of c?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/4 + 14427*y\/2 - 10929255\/4 = 0. What is y?\nAnswer: 395, 9223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-495)\/(-264)*2\/3*1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4366492*-5\nAnswer: 2.183246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(9) + sqrt(30)\/sqrt(90).\nAnswer: 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17541 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393069094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p + 3. Suppose -c = 2*c. What is f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b - 14 + 17 - 3.\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 - 1851*u + 80736. Give r(414).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8659887*v**2 - 29687305*v**2 - 21770285*v**2.\nAnswer: -42797703*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + t**3 + 2*t**2)*(3 - 4*t - 3 + (-t + 3*t - 4*t)*(-1 - 2 + 2) + 3*t + 0*t + t).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 - f + 1. Calculate t(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, -0.94, 1\/2, 4\/5, -2492, 29?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 - 5. Let f(x) = x**2 + 1. Let q(z) = 5*f(z) + g(z). Suppose 5*l - b - 12 = 0, -2*b + 6*b = -8. Let n(y) = -2*y - y - l*y. Calculate n(q(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/2636238 and 115\/1002.\nAnswer: 440251746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) -0.3 (b) 0.8 (c) 1\/2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*w + 42. What is the highest common divisor of 105 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(((-20)\/46)\/(-5)). Let w = -18 - x. Suppose w*r = 0, 3*y + 4*r - 662 = 505. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((44\/484)\/(12\/44)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 14*l**2\/11 - 1600*l\/11 - 4926\/11 = 0?\nAnswer: -3, 821\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9291?\nAnswer: 3, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*c + 266845 - 39923 = 0, 3*r = 5*c + 170198. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34110\/11 - -3104. Let q be 1\/6*1117\/(-6). Let b = q - -117\/4. Find the common denominator of t and b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*x**2 - 82*k**2*x - 2*k**2 + 123*q*x**3 - 8*q - 6*x wrt x?\nAnswer: -2*k**2 + 738*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/8*(-111864)\/12324?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 6*w - 134. Let m be (w\/(-2) + 8)*0. Put 1, 30, -2, m in increasing order.\nAnswer: -2, m, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*u, 4*u = b - 185 - 526. List the prime factors of b.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 119 - 123 = 0. Suppose -4*m = 2*w - 3*w + 154, 574 = 4*w - l*m. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 49*r + 11. Let v(a) = -a**2 - 25*a - 7. Calculate 5*v(t) + 3*x(t).\nAnswer: -2*t**2 + 22*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven quarters of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20740602?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1191 + 723 = 0. What are the prime factors of q?\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*-106.\nAnswer: -190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 32. Calculate the lowest common multiple of r and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -233 + 248 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 4*a**2 + 3*a - 1. Let y be p(2). Let i be 2\/(2\/y) - (1 - 1). Solve -s = -6*s + 5*j + i, -3*j - 2 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 6*o - 3*o - 6, 0 = -j + 4*o - 8. Suppose -2*v + v + 49 = j. Suppose -5*z = -v - 1. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2455, -6006, -9559, -13114, -16671, -20230, -23791?\n\"Answer: -y**2 - 3548*y + 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12145*t - 16818*t + 6651*t to the form n + z*t and give z.\nAnswer: -22312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3428 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 24*u - 35190. Let y = 5314 - u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 34 = 11*k - 18. Put 2, 30, k, -4 in ascending order.\nAnswer: k, -4, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-6 + -3 + 9 + -11 + 19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159.9 + -160. Let c = -4.4 + 4. Put 0.1, c, -2\/11, y in decreasing order.\nAnswer: 0.1, y, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7230*x + x**2 - 7230*x + 1. Let m = -3 - -6. Does 10 divide u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 72\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*s + 168 wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -24*f**3. Let t(i) = 8*i**3. What is -16*t(r) - 6*u(r)?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**5 - 4071*n**3 - 90924*n wrt n?\nAnswer: 180*n**3 - 24426*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/20 - ((-676)\/80)\/(-13). Which is the nearest to 1? (a) i (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24\/11 (b) -0.5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + n + 0 + (5 - 2 - 1)*(n + 0*n + 0*n) + (-n - 5 + 5)*(2 - 3 + 2) + 2 - 3*n - 2 + (2*n + 3 - 3)*(0 - 1 + 2).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 2*b**2 - 5*b**2)*(1 - 4 - b + 4).\nAnswer: 3*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 + 93*u**3 - 36*u**3 + 1 - 9*u**2 - 3*u**2 - 38*u**3.\nAnswer: 19*u**3 - 24*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 933*f**3 - 5*f**2 + 938*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23507230 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from qqmmaqma?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/291 and -37\/12.\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cppppcppp. Give prob of picking 2 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 20 = -y - 5*k, -k + 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**2 + 13*w + 13. Let y(h) = -4*h**2 + 6*h + 6. Let s(f) = -6*i(f) + 13*y(f). Let j(d) = 2*d. Give j(s(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 5*p**2 - 7*p + 8. Let n = -3 + 9. Let i be w(n). Suppose -59 + 11 = -i*m. What is the highest common factor of m and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgk when four letters picked without replacement from kgggkggggkkgk.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28005450 by -3025.\nAnswer: 9258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-25))\/(2\/(-20)). Suppose -24 - 8 = o*p. What is the nearest to -1\/2 in -1\/3, p, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = i + 5*h - 27, -3*i - 5*h + 268 = 0. Calculate the remainder when 13727 is divided by i.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 times 159.0719?\nAnswer: -1.1135033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16583 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1617215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l - 2*l)*(23*l + 294*l - 794*l - 562*l).\nAnswer: 1039*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/96*4 - -7*(-49)\/(-28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {s: 1, d: 5, u: 3, j: 3, l: 1, o: 4}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 160 = 5*c + 2*g, 0 = -c - 4*g + 32. Suppose 2*s - c = -2*s. Let n be (-3279998)\/4 + s\/(-16). What is n rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 35*r**2 - 36*r - 67. Let a be w(-34). Solve -4*z + a = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 2*a - 3. Let d be z(-3). Let y be 3\/2*(-2 + d). Let u be -3*(3 - (-14)\/y). Let j(g) = -g**2 + 4*g - 2. Determine j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + o + 297 - 97 = 0, -4*u + 386 = 5*o. Calculate the highest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f. Let h be 6 + (5 - (0 - -8)). Let j(z) be the second derivative of -6*z + 0 + 0*z**2 - 1\/6*z**h. Determine t(j(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 95*g**2 - 114*g - 114. Let c(d) = -d**2 + d + 1. What is -114*c(k) - v(k)?\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2517*r + 117 - 20 - 52 - 45 to the form w + h*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1\/4 (b) -1\/3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 140*v**2. Let g(b) = 20*b**2. Give f(g(y)).\nAnswer: 56000*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 612 + -608. Suppose 0 = -5*p - h*v + 13041, p + 3*p - v - 10437 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/12 + 25913*v**2. Let x(o) be the first derivative of -3*o**2\/2 - 4*o - 1. What is g(x(y))?\nAnswer: 45*y**2 + 120*y + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: bc44c4 (base 13) to base 5\nAnswer: 2113432304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.36 from 11.01.\nAnswer: 9.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 1, a: 1, b: 2, g: 1}. What is prob of picking 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 28*x - 15. Let s be l(0). What is the nearest to -2\/7 in -1\/4, s, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = -4*q + 122, -3*q + 88 = -a. Let w be 50\/q - 2\/(-6). Solve 3*t + w*t = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97302.39km in nanometers?\nAnswer: 97302390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 28 = 5*o + 17, -2*o + 5*s = 18. Is o at least 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(48)*-1).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 7. Suppose 5*v - w = 4*v. Solve -3*s - n - 10 = 0, 5*s = 3*s - n - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*x - 37*x + 0*x)*(-2*x**3 + 6*x**3 - 2*x**3) + (-4*x + 4*x - x**3)*(-8 - 8*x + 8) to f*x + h + s*x**2 + a*x**3 + w*x**4 and give w.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1774 + -1769 + (-32 - 0)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t**2 - 65*t + 139. Let r be a(-12). Solve r*f = 36*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/7 - 225*u\/7 - 648\/7.\nAnswer: -3*(u + 3)*(u + 72)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 12. Let o(n) = n**2 + n - 13. Let s(c) = 7*k(c) - 6*o(c). Let t(z) = z**2 - 5*z - 5. Let l = 108 + -102. Calculate l*t(x) - 5*s(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 156 = -2*j - 31, -3*o - 75 = -j. Suppose j = m + 4*x - 0*x, 210 = 3*m + 2*x. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12511*a**3*p**2 + 26*a**3 - 2*a**2 + 9990*a*p**2 + 71*a wrt a?\nAnswer: -75066*a*p**2 + 156*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(192\/(-8)))\/((-2)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 669838551 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19419984600 rounded to the nearest one million?\nAnswer: -19420000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*p + 26, 6*a + 14 = a - p. Let f(o) = 9*o**2 - 9*o - 1. Let c(x) = 5*x**2 - 5*x. Let g(k) = 5*c(k) - 3*f(k). Give g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 9*t = -186, -2*t + 197 = -189160*m + 189155*m for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/12)\/(-24 + (-2090)\/(-88)). Let z = 0.2 - 0.28. Let s = z + -0.02. Sort 2\/19, t, s in decreasing order.\nAnswer: t, 2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = 0. Suppose -2*g + 2*b = 3*b - 8, -b = h. Let z(p) = -5*p + 0 + p**2 - g - p**3 - 6*p**2. What is z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 9. Let j be l(7). Suppose j*g + g = -5*u + 16, 8 = 4*g. Suppose -131 = -5*o + u*r, 4*r + 0*r = 3*o - 73. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*(f\/(f**(-2\/77)*f))\/f assuming f is positive.\nAnswer: f**(-383\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 m when four letters picked without replacement from {e: 2, f: 10, m: 4}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -25*g + 1. Let d(v) = 858*v. What is l(d(c))?\nAnswer: -21450*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 6:22 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8576*(2\/2)\/(-79). Let q = i - 208067\/1027. Let b = 311 + q. What is the smallest value in 2\/9, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6421208016.\nAnswer: 2, 3, 83, 1611749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(14\/(-210)). Suppose 2*l + 3*m = -3*l + 105, 3*l - 67 = -m. Let o = l + c. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00256792 rounded to 5 dps?\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 278 = -5*x, 29*y = x + 32*y + 2*y + 70 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15493577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3*u - 6 + 6) + (5*u + 0*u - 4*u)*(1 - 16 + 11).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f*p + 3*f*s - 108*p + s with respect to f.\nAnswer: 5*p + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 4*s**2 - 6*s**2)*(-s + 4*s - 2*s) + (17*s**2 - 10*s**2 + 17*s**2)*(s - 3*s + 0*s).\nAnswer: -47*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 10 = 5*u. Suppose 0 = u*v - 5*a - 1165, 4*v + v - 1141 = -3*a. Suppose 0 = -2*x + 7*x - v. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - p - 25, 8*m - 116 = 5*m - 0*m + 8*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(2) - (2 + sqrt(72))) + 2.\nAnswer: 42 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353.9111 rounded to the nearest 10?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/(w*w**(-3\/2))*w**(2\/3)\/(w*w**(-8)) assuming w is positive.\nAnswer: w**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/17 + 41560*o**2\/17 + 215904200*o\/17 = 0.\nAnswer: -10390, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 359 - -182. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763*h = 762*h + 115. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6957 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + 15 = 0, -21 = -u + 4*d. Suppose 0 = -2*z - 4*s, z + 3*z + 5*s - 3 = 0. Differentiate j - u + 0*j - z*j wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 + (-15 - -5) - (0 - 0))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -49281?\nAnswer: 49279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -96\/7?\nAnswer: -96\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -119*n**2 - 8*n + 12. Let i(h) = 121*h**2 + 6*h - 9. Let q(m) = -3*d(m) - 4*i(m). Let a(u) = 4*u. Give a(q(s)).\nAnswer: -508*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 2. Let h be f(-6). Let d be 3\/12 + 4661\/316. Suppose -36029 = h*b - d*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/21 - 0 - (-265999990)\/35. What is g rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2\/23, 4\/9, -64, 0, -2\/13 in descending order.\nAnswer: 4\/9, 0, -2\/23, -2\/13, -37, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 12*g**2 - 1 + 1 - 18*g**2 + 8*g**2 + 2*g**3 + 2*g in the form k*g + t*g**3 + u*g**4 + c + j*g**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/66 - y**3\/33 - 4*y. Factor d(n).\nAnswer: 2*n*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.48 - 9.05. What is the smallest value in -2\/37, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(340\/(260\/13)))\/(1*4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d + 5. Let q be i(-3). Suppose -3*u + j = -q, 2*u - 9 = u - 4*j. Solve 0 = 4*f + 4*x - 9*x + 22, f = u*x - 13 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10\/(a\/(a*a**(7\/2))))\/(a**21\/a**(2\/9)) assuming a is positive.\nAnswer: a**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2806+-0.2\nAnswer: -0.4806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21543 is divided by 2691.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 195*b - 7846. Calculate v(136).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.01786+3481853\nAnswer: 3481853.01786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 419231\nAnswer: 7965389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 41. Suppose 3*r = -6, 3*g - r - 3*r = 221. Suppose h - g = -3*t + t, -t - 2*h = -37. What is the remainder when t is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137680\/7 - 19671. What is the common denominator of a and (-1)\/(-2) + (-267)\/(-378)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 2:31 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*2260\/(-60)*(-5)\/40*-8.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111001111100 (base 2) in base 12?\nAnswer: -58624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1550\nAnswer: 1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8661*n = 8682*n - 525. Calculate the common denominator of (-3)\/10*(-106)\/6 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 16*x**2 + 424*x + 120. Let b be h(-30). Solve b = 2*g - 10, -7*c + 2*g = -12*c + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198650907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:37 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 5*n - 3. Let x be z(3). Suppose -10*k - x*k = -1677. What is the least common multiple of 33 and k?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 41.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 11:50 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + -11 + 6 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5 + 1032*f**4 - 2070*f**3 + 1036*f**2 = 0.\nAnswer: -518, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420 by -84.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*n = -10, -n - 4 = b - 2. Let -3*a**2 - a**3 - 2*a**3 + 0*a**3 + b*a**3 + 3 + 3*a = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 11. Let y(u) = -3*u - 19. Let a be y(-8). What are the prime factors of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12291922.63 - -12291930.12999903. Let z = 7.5 - n. What is z rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1973 (base 13) to base 5.\nAnswer: 110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40350035 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 83377*-6548\nAnswer: -545952596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9550198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a kilogram in grams?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187 + -167. Solve 2*x = 6*x + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41576218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -65. What is the smallest common multiple of x and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a685 (base 14) to base 3.\nAnswer: -1110102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2455 * 0.07.\nAnswer: 171.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3861 and 27027.\nAnswer: 27027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 5*i**2 - 3*i + 10. Let f be w(5). Let g(k) = -3*k**2 - 2*k + 4. Let a(l) = 6*l**2 + 5*l - 9. Give f*g(v) - 2*a(v).\nAnswer: 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2 + sqrt(125))*6*-1 + -3) + 4)*4.\nAnswer: 136 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -2 - (-5 - 0). Suppose 6*g - 2*g + 3*b = -29, -4*b = i*g + 28. Which is bigger: g or -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(-13 + 21 - 32)*(107*u**4 - 33*u**4 + 0*u**4) as g + i*u**4 + s*u**3 + t*u + w*u**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3 - 174*g**2 - 2*g + 492 wrt g.\nAnswer: 36*g - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -22\/9, -1615?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 2. Suppose 24 = 4*i - 48. Calculate the smallest common multiple of i and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4932012918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27, 35, 43, 51, 59, 67?\n\"Answer: 8*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 31*u. Sort -1, -5, 100, u in ascending order.\nAnswer: -5, -1, u, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411 divided by 4\nAnswer: -411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*v**2 + 10 - 42 - 57 + 9*v + 58*v**2 in the form l + f*v**2 + a*v and give l.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 4*u + 35. Give f(-6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2 + -2)**2 + -2 + sqrt(7) + 1.\nAnswer: -7*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775189.\nAnswer: 775189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 7 - 8)*(-1 - 1 + 4)*(-r**3 - r**3 + 3*r**3) in the form w*r**3 + q*r**2 + m*r + d and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1.1 (c) -2\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:34 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 18. Let k be (h\/(-981))\/((-15)\/(-18)). Let p = -50653\/4360 + k. Calculate the common denominator of 103\/6 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8721964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 2. Let b be (-3)\/(-2 - -1)*1. Let j = 100 + -98. Suppose -5*r = -n - 22, -8 = -0*n - j*n - b*r. What is f(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k - 1. Let t(v) = v. Give -r(b) + 6*t(b).\nAnswer: 16*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -660900.\nAnswer: 13\/660900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5053468.\nAnswer: 2, 7, 19, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4199774400 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 + 134. Put 15, -0.5, c, 4 in descending order.\nAnswer: 15, 4, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -29*a + 128. Let v = 36\/13 - 7\/26. Is a bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 - 6953*w\/7 + 228360\/7.\nAnswer: (w - 6920)*(w - 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 26104, -0.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132342?\nAnswer: 2, 3, 7, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13609 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 17088878*c + 73007437824721.\nAnswer: (c - 8544439)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*d - 20 = 12, 0 = 3*j + 2*d - 96. What is the greatest common factor of j and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -1) + 0 + 6. Let t be (3 - o)*3\/48. Which is the third smallest value? (a) t (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**4\/4 + z**2 - 7*z. Let b(a) = -a. Give 30*b(h) + 4*k(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**(-6))\/p)\/(p*(p\/(p*p\/(p**16*p)*p))\/p)*(p*p\/(p*p**(-3\/7)))\/(p\/p**(-1\/6)) assuming p is positive.\nAnswer: p**(-325\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 24. Let p(c) = -c**2 + 2*c + 15. Let t be p(5). Let j be h(t). Let q = j - 13. Calculate the smallest common multiple of 2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x + x. Suppose 10 = x*j + 2, -3*h = 3*j - 18. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.004 and -133?\nAnswer: -133.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*s - 3*n, 11*n + 7 = 4*s + 10*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 2 q when four letters picked without replacement from {b: 5, m: 1, d: 4, q: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 828685 or 828686?\nAnswer: 828686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 7. Which is the closest to 0? (a) 5 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/5 - 936*f\/5 + 109512\/5 = 0.\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 15. Let p = 6 - 1. Solve -z = -p*w + w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3142*k - 118*k + 47434 - 67452 - 88846 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**(-2\/3)\/x)))\/(x*x**11) assuming x is positive.\nAnswer: x**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/179595 (b) -29\/7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(225)*-3)\/sqrt(5) + (sqrt(5760) + 1*sqrt(5760))\/(sqrt(360)\/sqrt(5)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -860 and -3.\nAnswer: 2580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*((sqrt(98) + 1)*6 + 0)*-3 + -4)**2.\nAnswer: 76608*sqrt(2) + 513806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12\/((n\/(n\/n**(-14)))\/n))**(9\/5) assuming n is positive.\nAnswer: n**(243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59693032 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 x when four letters picked without replacement from bqxbx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -43?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -330002001?\nAnswer: 330002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 9*x**2 + 16*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 15*k**2 + 58*k - 66. Give p(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-52)*2 - (-612)\/78. Suppose 41 + 87 = o*v. Solve v = -2*i + 5*u, i - 4*i + 3*u = 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 3\/4, 5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211\/4 + -53. Let f = -125 - -18. Let c = f - -106.9. What is the third biggest value in 2\/17, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41904498 by -1132554.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*v**2 - 20*v**2 - 19*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 35 = 4*g, 2*i - 14 = g + 4*g. Suppose -2*w + i*w + 190 = 0. What is w rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175704767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -497.9066 - 0.0934. Let s = 496 + r. Let n = 0.6 - -1.4. What is the closest to -8 in 0.3, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4512 + 1108.\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 5148510*u**2 + 5148515*u.\nAnswer: -5*u*(u - 1)*(u + 1029703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*a - 183*a - a**2 + 2*a**2 - 20*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156015155 (base 7) in base 16?\nAnswer: a1a167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-85)\/(-2)*192\/(-20). Let y be ((-3)\/9)\/(4\/b). Let f = -36 + y. Sort -5, 13, f in decreasing order.\nAnswer: 13, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 106. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yur when three letters picked without replacement from rnryugunuuvr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (3 - 0)) + (-11 - (-8 - 19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1356 - -0.0356. What is the closest to -1 in -3, c, -2\/9, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -4. Calculate the least common multiple of 17 and (12\/8 + -3)*(t + -1).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Expand (2 - 1 - 2)*(-3*w**5 + 4*w**5 + 7*w - 15*w).\nAnswer: -w**5 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*o**2 + 1742*o**2 - 866*o - 869*o**2.\nAnswer: -3*o**2 - 866*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Let j be (28\/(-21))\/(35\/1008)*(-20)\/6. What is the highest common divisor of j and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 5529*d**2\/5 - 77553*d\/5 + 271607\/5.\nAnswer: (d - 7)**2*(d + 5543)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756 = 655*i - 101 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 519518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2719, -2710, -2695, -2674, -2647, -2614, -2575?\nAnswer: -2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -555*n + 558*n - 4*f, -3*n + f = 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421 is divided by 55.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(2*p + 0 + 0) + p + 0 + 0 + 4*p - 7*p - 10*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 63781 and 1.\nAnswer: 63782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 + 132. Solve -b*a = -a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 25 - (21 - 8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 2*n - 88 = 0. Let r(y) = y**3 - 6*y**2 - 5*y + 6. Let k be r(5). Let f be 2\/n - (-228)\/k. Sort f, -4, -0.03 in decreasing order.\nAnswer: -0.03, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/308, 0.3, -1, 5, 1.7, 46, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -7959?\nAnswer: 12\/2653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 128793464*q**3 + 128793478*q**3 - 3*q**2 + 2*q**2.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a + 36. Let p be y(0). Let z = p + -4. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1555 greater than -1560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7))**(-1)*(k**(-1\/3)\/k)\/(k**(-1\/2)*k))\/((k*k**(1\/3))**(2\/21)*(k\/(k\/(k**0\/k)))**(-45)) assuming k is positive.\nAnswer: k**(-5953\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 3:43 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 7:31 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/20 + (-350)\/8. Let n = s - -102. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22131*a*h**3 + 29*h**3 + 50*h - 2 wrt a.\nAnswer: -22131*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, 29, 3.7, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.56 + -2.44. Let p be (-1)\/14 - (1 - (-67)\/42). Which is the nearest to k? (a) p (b) -4\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 8:02 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a484 (base 11) in base 5?\nAnswer: -421021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 126492\/4191 + 48\/(-22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, -7502, -20550, -38834, -62360, -91134?\nAnswer: -125162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25375 - 28130 = -774*h - 1486*h - 15085 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 5*h - 15, -154*z + 157*z + 4*h = -12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10211 + -12101?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from xhvhxvxxxh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15645921 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1207854\nAnswer: 603927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*8\/26*(-12)\/(-48)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0504 <= 3.707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/55 - -9\/11. Are w and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 6*i - 4*b + 8, -3*b + 13 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/12*(3\/(-2))\/(-3). What is the fourth biggest value in j, 0.4, 0.03, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - j + 572*j**2 - 574*j**2 + 9*j**3. Let o be d(1). Suppose o*c + c - 567 = 0. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -73, -161, -285?\n\"Answer: -18*p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(112)*-1 + sqrt(112) + 0 + 1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 17 - 43)*(r**3 - 13*r**3 + 3*r**3) to the form c*r + j*r**2 + m*r**3 + l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, r: 2, q: 1, c: 1, m: 4}. What is prob of sequence hmrr?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -442?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14729 + -14070. What is the remainder when w is divided by 238?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d**3 - 4*d**2 + 5*d - 13. Let u(q) = -15*q**3 - 5*q**2 + 6*q - 15. Let k(r) = -7*n(r) + 6*u(r). What is k(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/(-2 + (-15)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1346 = -5*w, -3*w + 533 = -w + 5*t. Let j = w + -256. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 + -132. Let o be -3 - (-3 - -2) - -2. Suppose -2*a - 3*g + 72 = 0, o*g = 3*a - 5*g - 108. What is the remainder when a is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 42*k + 250. Calculate x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -1.79?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -2*k + 4, 2*n - k = -3. Is 19056\/27 + (n - 11\/(-9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 - 31.2. Let g = b + 20. Let q = -10 - g. Which is greater: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011672752 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19d0 (base 15) in base 2?\nAnswer: -1010111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10693965 != 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9478 is divided by 97?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*h = -115 - 15755 + 1020 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i)\/i)**(3\/10)*(i**(-1))**(4\/9) assuming i is positive.\nAnswer: i**(7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-3 + 5)) + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -96470861 > -96470861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33593.4 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f + 845 - 301 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 24 = -10*r. Suppose -3*j - i - 11 = -53, -r*i - 28 = -2*j. What is the remainder when 24 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(11\/30) + 3. Let v(x) = -x + 13. Let g be v(11). Suppose -i = -g*r - 9. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37373529 - 292746853382\/7833. Let g = x + -1\/373. Which is the nearest to 0.1? (a) -0.4 (b) g (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 5*f - 3. Let l(t) be the first derivative of t**3\/3 - t**2 + t + 3318. What is -4*i(a) - 11*l(a)?\nAnswer: 5*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/7, 3\/2, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + -47. Let f = b - -72. What is the remainder when 116 is divided by (-69)\/92*(f + -20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**2 + 3*j - 3. Let l be (-15)\/(-10)*52\/6. Let v = l + -11. Determine a(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*x + 96*x = 1400. What is the highest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from jkimjmmmmmkkmk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -19, 213, 3.\nAnswer: -19, -4, 1, 3, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 16*w = 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1072 - 1071.99982. What is k rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1982*i + 1981*i = -3218. Suppose -27*m = -5746 - i. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 32*r**2. Let w(l) = l + 1. What is m(w(y))?\nAnswer: 32*y**2 + 64*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l**5 + 3*l - 5*l - l**5 + (2*l - 2 + 2)*(0*l**4 + 0*l**4 + 2*l**4) + l**5 + 2*l - 2*l.\nAnswer: 3*l**5 + l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i + i + 10*i - 20*i - 1. Determine f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26\/69 - 1\/23. Let m(r) = -19*r**2 + 1. Let h be m(2). Let t = h + 376\/5. What is the closest to -0.2 in y, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*m = -4 + 34 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/6*((-15)\/100)\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891 a factor of 81513406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6. Let v(p) = p - 4. Let j(i) = 2*s(i) + 3*v(i). Let x(y) = 351 - 176 - 182 - 2*y. What is j(x(k))?\nAnswer: -6*k - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5574*b**3 + 5363*b**3 + 5372*b**3 - 70 - 6 - 16310*b**3.\nAnswer: -b**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**42*(a**1)**(22\/3))\/((a*a**0*a)**(-33))**16 assuming a is positive.\nAnswer: a**(3190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*v - 2 - 0, -4*p - 5*v + 40 = 0. Let w(k) = 20*k - 5. Let j be w(p). Suppose 0 = -4*t - t + j. Calculate the greatest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09982 from 10205782398.\nAnswer: 10205782398.09982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 20 = 5*z, 0 = -2*f + 3*f + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 517 - 427 = 0. What is the smallest common multiple of 4302 and g?\nAnswer: 21510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 - -2.95. Let j = -87 - -527\/6. Let q = -2\/3 - j. What is the second biggest value in q, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921375294 to the power of 1\/2, to the nearest integer?\nAnswer: 30354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/3)\/(((-4)\/((-132)\/55))\/(-6)). Let l(x) = -17*x**3 + 2*x. Let b(q) = -1395*q**3 + 165*q. Calculate f*b(h) + 495*l(h).\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1 + 7*n**3 + 2*n + n + 0*n**3 + 6*n**3 - 14*n**3 - n**2. Let d = -5 + 3. Let m be k(d). Which is bigger: -1\/6 or m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854102161 to the power of 1\/2, to the nearest integer?\nAnswer: 29225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 27, 45, 67, 93, 123?\n\"Answer: 2*j**2 + 8*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4520681 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355751, -355747, -355751, -355769, -355807?\nAnswer: -355871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14375663 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 90, 251, 528, 951, 1550?\n\"Answer: 5*f**3 + 13*f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -763.\nAnswer: -763.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/95902720 and 95\/192.\nAnswer: 287708160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -209164.\nAnswer: 1\/104582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2850 - 2848. Sort q, -499, 0.\nAnswer: -499, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831892.\nAnswer: 2, 207973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kccpcccckkckcssckp. What is prob of sequence pk?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2 + 341. Let l(q) = 192*q. Determine l(p(n)).\nAnswer: -384*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302 - -327. Solve 6*x + v = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let l(r) = 2*r**2 + 2*r + 2. Let i be l(o). Calculate the highest common divisor of i and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(4719) + 2*-2*sqrt(4719)))\/(-6*(2*1*sqrt(18))\/sqrt(6)).\nAnswer: -11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1180 and 1181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21648249.\nAnswer: 3, 7, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Let y be (1 - -1)\/(1\/(15\/6)). Let x(f) be the second derivative of 1\/4*f**4 - y*f + 0*f**2 + 0*f**3 + 0. Give p(x(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2472*a - 19724. Calculate z(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(176) - (sqrt(176) - -2*sqrt(176))))\/(sqrt(8) - sqrt(48)\/sqrt(24)))\/(-2*((sqrt(144) - (1*sqrt(144) - sqrt(144)))\/sqrt(12))\/sqrt(6)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 7. Suppose 0 = 9*r - 12*r + 27. Let o = r - 4. Calculate s(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(340)\/sqrt(40))\/(2*sqrt(6)\/sqrt(3)*5).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -19*f + 2. Give h(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 2 - 1 + 0. Let r be a(3). Let q(o) = -r*o + 3*o + 3*o. Let b(j) = 3*j. Give q(b(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22517711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1061 + 1067. Solve -4*q + 0 = -3*v - u, -5*v + 10 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (120\/216)\/(35\/42). What is w in -y*w**3 - 2\/9*w**4 + 2\/9*w**5 + 0 - 4\/9*w + 10\/9*w**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1*98\/(-5). Suppose 5*u = 5*f - 120, -5*f + 54 = -5*u + 3*u. Let j = u - x. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + 0.11. Let o = 9 + -4. What is the nearest to a in 3, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5674434954 rounded to the nearest one million?\nAnswer: 5674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**2 + 35*g - 150 = 0.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2. Let b be j(1). Let g(d) = 4*d - 15. Let z be g(b). Suppose -7 = -m + 3*t - 4*t, z*m - 55 = -t. What is the lowest common multiple of m and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2429958321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -1, -0.2, 0.6 in ascending order.\nAnswer: -4, -1, -0.3, -0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3504443 - 16253.\nAnswer: -3520696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3 + 4*c + 2*c)*(1 + 2 + 0).\nAnswer: 18*c + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzzvfw. What is prob of sequence vvzw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -271606562 + 271820167.423. Let b = -213614.4229993 + c. Let i = 9 + b. What is i rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(2 - 3 - 1)*(-5 + 5 + 54*w) to the form i + p*w and give p.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2186 = -11*i - 404. Suppose 168 = 15*l - i. Calculate the highest common divisor of l and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -120254\nAnswer: -841778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8272?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*n + 135440 = -340*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - -2432014?\nAnswer: 2432144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 (base 9) in base 4?\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/6*(-3 + 6). Let r = -12.6 - -0.1. Let k = -13 - r. What is the smallest value in k, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224 + 119. What is the third smallest value in 2\/11, h, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6809 - 6768. Solve o*v - 36*v + 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k + 30. Let u be 14*((-15)\/k - 2). Solve -u = 5*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 670 divided by -335\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -92. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/511 + 3\/14*-22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 + 2*c - 3. Let o(j) = -4*j**2 - j + 2. Suppose -65 + 20 = 9*z. Determine z*o(v) - 3*h(v).\nAnswer: -v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-156)\/24)\/((-1)\/22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002544713 rounded to 6 dps?\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/18 + 4\/(-6))*2. Factor 1\/3*b - 1\/3*b**2 - d*b**3 + 1\/3*b**4 + 0.\nAnswer: b*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/10 - l**3\/6 - l**2. Suppose 62*o + 371 = -125. Is x(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 4 + (sqrt(847) + (-1 + sqrt(847) - sqrt(847)))*-4 + -4 + -2 + -1).\nAnswer: -3 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, -2.7199, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/((-1040)\/5))\/(10\/(-4))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f + 6. Let y(d) = -3*d - 3. Let j be (69\/21 - 3) + 90\/(-21). Let p be (-1)\/((-21)\/(-5) + j). What is p*y(z) - 2*r(z)?\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 332 - -215?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109859982?\nAnswer: 2, 3, 367, 49891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 576*r - 197*r + 13812 + 21435 for r.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 53*d - 52*d - 3 + 1. Let v(p) = 2*p + 1. Let x be v(3). Let k be o(x). Solve -3*n + 4*i - 13 = 0, 2*n - k*n + 2*i - 11 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i - 3. Let m(n) = 5*n + 2. Let u(d) = 3*m(d) + 4*p(d). Let y = 6 + -12. What is u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/4513?\nAnswer: 3\/4513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -294, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72168 minus -0.02?\nAnswer: 72168.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-61)\/1)\/1 + 1. Let n = -195\/398 - 212767\/3582. Let y = n - u. Find the common denominator of 59\/3 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*(-2)\/32*-4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.7 and -2.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h + 3. Let j(n) be the third derivative of -11*n**4\/6 - 17*n**3\/3 - 5*n**2. Let r(z) = 6*j(z) + 68*l(z). Let d(a) = -a**2. Calculate r(d(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2678)\/910 - 2\/(-14))\/(-14 - -12)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -51. Suppose j = h + h. Let n = h + -5. What is the highest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/45)\/((v**(-5)*v*v)\/v))**(-14))**(8\/5) assuming v is positive.\nAnswer: v**(-19936\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -36. What is the common denominator of (2 + c)\/(-20) - 99\/10 and (-1 - 0 - 13) + (-2)\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 7268 + 7285 = -7*c, 2*b = 3*c - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**3 + 2*t**2 + 2373*t - 9497. What is y(4)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/5 + 381*i**4\/5 - 7296*i**3 + 7220*i**2.\nAnswer: -i**2*(i - 190)**2*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -3.7. Let s = v - -3.4. Let o = -35 - -30. Which is the biggest value? (a) o (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + 4*((sqrt(175)*2*5 + -3)*4)**2.\nAnswer: -19200*sqrt(7) + 1120570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069 minus -1763629.65?\nAnswer: 1763629.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -3, -92, -252, -2, 0 in increasing order.\nAnswer: -252, -92, -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j + 28*j = 4*r + 33, -5*j = 5*r + 35 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139 and 12649.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + -3*sqrt(1900) + (sqrt(95) - sqrt(95)*-3)\/sqrt(5) + 1.\nAnswer: -26*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (66 - (-3 - -33))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 3*c. Let d be (3 - -3)\/(c\/2). Let p(v) = 2*v**3 - 3*v**2 - 2. What is the units digit of p(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146.22 - 148. Let i = p - -1.69. Is i at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22) + (-46)\/(-132)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -11 - (2343 + -2376)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 0, -5, 2, -4, -3, 3963?\nAnswer: 3963","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1792429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25021.00000201 - 25021. What is c rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -246 - -246. Suppose l = 6*h - 114 - 558. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.963 in -0.5, -1, 1\/7, 5, 0.07, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -d - 2*a + 186 - 151, -2*a = -4*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**7\/1260 + 3*d**4\/8 - 10*d**2. Let a(v) be the second derivative of h(v). Let w(o) = o**2. Give a(w(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 269255 and 1445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 52119?\nAnswer: 573309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18003 = -2676*u + 887*u + 30300 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3824 divided by -1912.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/109321?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6 + 1)*(-11 + 14). Suppose -u = 3*u - 20. Suppose s = -h, 0 = -3*h + u*s - 24. Put m, h, -2 in descending order.\nAnswer: m, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/60 + f**4\/6 - f**3\/2 + f**2. Let z be a(2). List the prime factors of 6\/z - 32\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 + 5455*t - 5455*t + 117 + 63 to the form v + n*t**2 + q*t and give v.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) - sqrt(19)) + 3 - (sqrt(57)\/sqrt(3) - sqrt(19))*-6 - (-3 + 1*sqrt(19) + (sqrt(19) - (-1 + sqrt(684)))).\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 5. Let f be i(-3). Let q(m) be the second derivative of -7*m**3\/3 + 3*m**2\/2 + 7999*m. Calculate q(f).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 94, -2, -4, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}