diff --git "a/data/dm_maths/full_data_1/10251_11255.jsonl" "b/data/dm_maths/full_data_1/10251_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10251_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -13 + 1879*g**2 - 1814*g**2 + 13.\nAnswer: 65*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -26. Let d(x) = 29*x - 276. Let b be d(10). Let i = a + b. Solve i*v = -0*t + t + 6, -3*t + 14 = 2*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 58492316?\nAnswer: 116984632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -738, -1128, -1522, -1914, -2298, -2668?\nAnswer: -3018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570 and 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = 35*g + 86 - 50. Suppose 3*b = -2*b + 65. What is the second derivative of -19*f**4 - g*f**4 + 29*f**4 + b*f**5 - 4*f wrt f?\nAnswer: 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -5*d + 6, 4*d + 36*y - 31*y = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 + -84. Let d(k) = k**2 - 4*k - 1. Let z be d(7). Suppose w + w = z. Calculate the least common multiple of c and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*3*5 - sqrt(110))\/((sqrt(100) - sqrt(100)*2)\/sqrt(10)))**2 + (sqrt(6336) + (sqrt(6336) - 4*sqrt(6336)))\/((sqrt(32)*-2)\/sqrt(8)).\nAnswer: 12*sqrt(11) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -56*u - 53*u. Solve 9*j - 6*j = -u*y + 4, 4*y - 8 = -4*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/45843057 and 29\/112060806?\nAnswer: 1008547254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*a**4 + 24291*a**2 + 764317 wrt a?\nAnswer: 108*a**3 + 48582*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -13)*7\/14. Let w(p) = p**2 - 5*p - 3. Let g be w(o). Calculate the greatest common factor of 1 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 2*h**5 - h**5 + (-3*h + h**2 + 3*h)*(2*h - 2*h - 2*h**3) + h**5 - 2*h + 2*h + h**5 + 5*h + 5*h**5 - 3*h.\nAnswer: 4*h**5 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 9:42 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) + (-240)\/50. Put -1, j, 0 in increasing order.\nAnswer: j, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5591864 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.164 and 1791512647118.\nAnswer: 1791512647117.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 5:04 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h**3 - 21*h**2 + 18*h - 19. Let i(k) = 2426*k + 8*k**3 - 2432*k + 7*k**2 + 6 - 3*k**3. Let w(g) = 8*i(g) + 3*n(g). Calculate w(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a + c, -4*c + 27 = -3*a - 2*a. Let q(r) = -9*r - 13. Let f be q(a). Suppose w - 3*w + f = 0. Solve -4*x = -4*h + x - 2, 2*x + w = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3714041 + -5?\nAnswer: 3714034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54225161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -0.19 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -493*a - 8872. Let p be l(-18). Let 1\/6*u**p - 7\/3 - 13\/6*u = 0. What is u?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*z = -187*z - 24906 - 2730 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = -3*p - 1, 5*p + 13 = -3*t. Let v(o) = o + 0*o**2 - 3*o - 4*o**2 - o**3 - 2 + 0*o. Calculate v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 1. Let h(r) = -4*r**2 + 3*r - 9. Let p(g) = -9*g**2 + 4*g - 22. Let o(q) = 5*h(q) - 2*p(q). Let b = -292 + 293. Determine b*v(c) - o(c).\nAnswer: c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*m + 8941*m + 166381 = 867004 for m.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/(-187) - 540\/1485. What is the closest to 1 in 5, i, 3, -1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 15 = -29 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = -5*p + 16, -2*w = 4*p - 2. Let s = w - -11. Let v be s*1\/(-2)*-6. Solve i + v = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 827*v**4 + 3*v**3 - v**2 + 16 + 412*v**4 + 413*v**4 to y*v**4 + n*v + c + q*v**3 + i*v**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572 - 110 = -77*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ind when three letters picked without replacement from {u: 5, d: 4, n: 4, i: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108885?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:53 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:31 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -683653, -683652, -683651, -683650, -683649?\n\"Answer: l - 683654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7145290*v**3 - 4880*v**2 + 36528 wrt v?\nAnswer: 42871740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 522329 and 1843.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 15) to base 6.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 3*b**3 - 3*b**3)*(b - 3*b + b)*(-53 - 17*b + 53 + (2 - 4 + 0)*(b - 3 + 3)).\nAnswer: -76*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**8\/112 - 3*g**7\/2 - 107*g**6\/20 - g**5\/10 + 213*g**4\/8 + 107*g**3\/2 - 3608*g**2. Find r such that v(r) = 0.\nAnswer: -1, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1493 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7506730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -21*n**2 - 84*n - 177. Does 14 divide d(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 10. Let k(q) be the third derivative of 0*q + 0*q**4 + 44*q**2 + 0 - 1\/30*q**5 + 0*q**3. What is k(s(c))?\nAnswer: -2*c**2 + 40*c - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16*l - 3. What is s(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 2*f - 10*f - 8*f**3 + 4*f.\nAnswer: -16*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 285179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394793735*f**2 - 195595*f + 210 wrt f.\nAnswer: 789587470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1963*x + 4. Let j(o) = 947*o - 2. Determine 5*j(s) + 2*z(s).\nAnswer: 809*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 = 5*k. Let a(o) = -o - 1. Give a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/16 - (-1 + 2). Which is the second biggest value? (a) v (b) 6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15411 (base 7) to base 12.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2286392 by 3.\nAnswer: 2286392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17413 <= 4\/223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 125*f**2 + 2*f - 242. Give k(125).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-96))\/((35\/1260)\/(1\/44))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-6)\/18). Let u be ((-2)\/10)\/(6\/4). Put u, r, 5 in increasing order.\nAnswer: r, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4775, 4712, 4649, 4586, 4523, 4460?\n\"Answer: -63*v + 4838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*322\/276*-3*6*4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189 + -185. Suppose -4*i - 3 = 3*c - d*c, 2*i + 105 = 5*c. What is the remainder when 45 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 323 - 656 + t + 343. Suppose 0 = -0*d + 3*d + 27. Give j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s - 13*s. Does 8 divide (s - -3 - -1) + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17495.3449 rounded to the nearest one hundred?\nAnswer: -17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82748711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*q**5 - 9586*q - 9*q**4 + 11936*q - 36*q**5 wrt q.\nAnswer: -560*q**3 - 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1. Let v(t) = 14*t**3 + t**2 - 5. Let p(a) = v(a) - 5*z(a). What is the remainder when 58 is divided by p(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250492413 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 3. Let r be k(-3). Suppose 153*p - 236 = 149*p. Let z = p + -55. Put -5, -4, r, z in decreasing order.\nAnswer: z, -4, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3240 and -53\/2636.\nAnswer: 2135160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 49.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 2:01 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25453426 (base 8) to base 11\nAnswer: 3215261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*x - 8 + 227*x + 243*x - 237*x.\nAnswer: -3*x - 8","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*n - 86*n + 272. Suppose -21 = -n*u + 27*u. Solve -y - u*y = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 2*b + 1. Let x be c(1). Suppose x*z - 18 = z. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -10*k**5\/9 + 6424*k**4\/9 - 209096*k**3\/3 + 1480108*k**2\/9 - 1103998*k\/9 + 27196 = 0.\nAnswer: 2\/5, 1, 117, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + 3\/9. Suppose 4*q + 16 = y, -5*d + 3*q + q + 36 = 0. Solve -5*o = -d*h + 8 + 29, 5*h = o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 13*i + 8. Let c be y(-14). Is (3 - 1570\/c) + 2\/(-3) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6bb (base 14) in base 11?\nAnswer: 100a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:00 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -465*v**5 - 4700*v**4 + 50185*v**3 + 551360*v**2 + 918020*v + 92400 = 0.\nAnswer: -12, -7, -2, -10\/93, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1019220 + 66783744.\nAnswer: 67802964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -1*(3 + (-46 + 2 - -1)) and 44?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72302475020 to the nearest one million.\nAnswer: -72302000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 - 725*u**3 - 1435*u**2 - 715*u = 0.\nAnswer: -143, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001100001 (base 2) in base 15?\nAnswer: -73d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 11 - 7 - 5*c - 6 + 2*c.\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4735292 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.9, 3, -2\/15, 4.189, -0.16.\nAnswer: -6.9, -0.16, -2\/15, 3, 4.189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/24 and -47\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((143 - 136)*12\/14).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + q**2 + 0*q**2)*(2*q**2 - 5*q**2 + 19*q**2).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11 - 13 = 4*a, 3*m + 3*a - 36 = 0. Let r be 1\/((-1)\/(-3))*3. Let x = 0 + r. Calculate the highest common divisor of x and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 21*f**5 - 164813*f**4\/5 - 388572*f**3\/5 + 452468*f**2\/5 + 421248*f\/5 + 75456\/5 = 0.\nAnswer: -3, -2\/5, -2\/7, 4\/3, 1572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 5. Let s be u(0). Suppose 0 = o - s*o + 12. Let n be (-12)\/(-18)*o\/2. Is -2\/49 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/70 + 7*h**6\/20 + 1747*h**3\/2 + 2*h**2 - 16*h - 7. Differentiate k(n) with respect to n.\nAnswer: 12*n**3 + 126*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -269*p + 60447 - 67710 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k + 2. Let o(b) = -b**3 + 5*b**2 + 5*b - 7. Let t be o(6). Let p(i) = -2*i + 1. Let s(w) = t*p(w) + 6*j(w). Give s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose j - t*j = -10. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*(2\/(-6) - 0). Suppose 0 = -l*g + g. Suppose g = 2*u + 3*u - 25. Let s(d) = -5*d**2 + 3. Let w(p) = 6*p**2 - 4. Give u*s(r) + 4*w(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**3 + 5*j**2 - 8*j + 1. Let b be (-1 - -7) + -1*2. Let g(h) = -3*h**3 + 4*h**2 - 7*h + 1. Let m(v) = b*a(v) - 5*g(v). What is m(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 69*x - 1579. Give g(-77).\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*2)\/((-24)\/12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -559\/5 + 112. Let t = 0.03 + -0.1. Let l = -0.23 + t. Which is the nearest to 0? (a) q (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1259, 5178, 11757, 20996, 32895, 47454, 64673?\nAnswer: 84552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 5:51 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636273, -1636106, -1635939?\nAnswer: -1635772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636155090 divided by -6.\nAnswer: -318077545\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137272103 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 64604 (base 7) to base 8\nAnswer: 37314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 25. Let l be r(-9). Suppose -l*x = -2*x - 1595. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 + -37)\/(8\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - a + 9 = 0, p + 3*a = -a + 9. Suppose c = -2*c + p. Solve 8 = 4*f - c*h, -h = -3*h - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-164)\/(-10) - (-4)\/(-10). Let n = s - -38. What is the greatest common divisor of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/2)*p*p\/(p\/((p*p\/(p\/((p*p**(-1\/15))\/p*p)))\/p))*(p**(-7\/5)\/p)\/(p**(-13)\/p))**(-28) assuming p is positive.\nAnswer: p**(-6734\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l = 37*l + 62*k + 176, 12 = -4*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + 3*n**4 + 0*n**4)*(30889*n - 1548131 + 1548131).\nAnswer: 61778*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/43 - -100\/301. Factor 6\/7*s**2 + 6\/7*s + d + 2\/7*s**3.\nAnswer: 2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2901247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 10*n**2 + 24*n - 9. Let a be i(8). Suppose -73 = -8*j + a. Let c = 194 + -174. Calculate the least common multiple of j and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -378763, -378771, -378793, -378835, -378903, -379003, -379141?\n\"Answer: -z**3 - z**2 + 2*z - 378763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -3 - (-2 - 0). Let o = -37132 + 37132. Solve -3*a = r + s + 1, -r - a - 1 = o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5244065 is divided by 1311012.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(130)*3*1)\/(-6*sqrt(40)\/sqrt(4) + sqrt(90) + 1*sqrt(90) + sqrt(90)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i + 28. Calculate p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - 37. Let w = 7 - c. Let x = w + 126. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -37216, 613 in descending order.\nAnswer: 613, 4, -37216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 148?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 13. What are the prime factors of 464\/(-24)*w\/(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254755804 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhllwwhulwsgllgww. What is prob of picking 1 h and 1 w?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(220\/(-8))*80\/64?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13373415917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9322*a**3 - 237*a**2 - 237*a + 237. Let q(m) = 79*m**3 + 2*m**2 + 2*m - 2. Give -2*b(c) - 237*q(c).\nAnswer: -79*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f\/((f**(-28)\/f*f)\/f)*f*f)\/f*f\/(f\/((f\/((f**(-30)\/f)\/f))\/f))*f*(f**9)**(14\/5))**44 assuming f is positive.\nAnswer: f**(20064\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 11*m**2 - 27*m + 24. Let b be t(-6). Solve 0 = -2*s - 4*j - b, 5*s + 11 = -5*j + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in centuries?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -p. Let w(g) be the third derivative of g**5\/60 - g**4\/3 - g**3\/3 - 10*g**2 - 2*g. Let x be w(p). Solve 3 = 2*m + x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -290524, -581053, -871582, -1162111?\n\"Answer: -290529*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p**2 + 6*p + 1. Calculate o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z + 410. Give p(14).\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 296 = 4*d, 2*t - 5*d + 62 = t. Let i be (t\/(-52))\/(-3)*-2. Is 1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -0.4 (b) -2 (c) -3\/4 (d) 40858 (e) 0.182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (146 - 133) + (-10 - (1 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**5 + v**4 - 2*v**3 + v**2 - 4*v + 1. Let y(z) = 65*z**5 + 4*z**3 - 2*z**2 + 8*z - 2. Let a(j) = -6*x(j) - 3*y(j). Find s, given that a(s) = 0.\nAnswer: -2\/63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 6\/7*c + 17 - 1\/7*c**4 - 8\/21*c**3 + 2\/7*c**2 + 2\/35*c**5. Solve l(q) = 0 for q.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81846*i + 7*o - 152 = 81842*i, -2*i + 5*o = -42 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + y - 5*y)*(-95 + 16 - 63) to o*y + j and give o.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31005802*z**2 - 253264790.\nAnswer: 62011604*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16835 is divided by 266.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-9)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3900*m**3 + 408*m + 4 wrt m.\nAnswer: 23400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 544 + -22?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 10) to base 14.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.11, 5, 0?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -2*t**7\/105 - t**6\/30 + t**4\/8 - 13*t**3\/3 - 245*t**2. Find the second derivative of p(v) wrt v.\nAnswer: -48*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 3, 1629 in increasing order.\nAnswer: 3, 54, 1629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 38415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - h - 4 + 439, h + 285 = 2*g. Suppose 0 = -2*b + 6*b + g. Let n = b - -39. Solve j + n - 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x. Calculate i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 - 5*v - 16. Determine q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 21944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/10 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 not equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmgbl. What is prob of picking 1 m and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-304)\/(-22) + (-2)\/(-11). Let x(d) = d**2 - 21*d + 5. Let y be x(s). Let o = -70 - y. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577693638 divided by -6\nAnswer: 96282273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/80 and 23\/91476?\nAnswer: 1829520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mydydddddmydy. Give prob of picking 1 m and 1 y.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50\/11 + -425\/33. Let z = 36841\/3 + -11256. Let y = z - 1035. What is the common denominator of y and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -774000 rounded to the nearest 10000?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 6*b - 4*d + 31, 2*b = -3*d + 18. Let k(i) be the first derivative of -3\/5*i**5 + 0*i**2 + 37 - 1\/6*i**6 + 0*i - 1\/2*i**4 + 0*i**b. Factor k(c).\nAnswer: -c**3*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = h + 13, 0*y - 5*y = -2*h - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2549228 (base 12) to base 3\nAnswer: 111202122012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o - 2 + 2)*(o + 0*o - 2*o) + 273*o - 273*o + 7*o**2)*(82*o**2 - 44*o**2 + 2*o - 37*o**2 - 68)*(0 - 3 - 2).\nAnswer: -40*o**4 - 80*o**3 + 2720*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 166\/11?\nAnswer: 166\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 36*a + 19. What is j(6)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 324*x + 320*x - 10 = 0, -2*x = -3*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnjjccbmjcjmjjmcnj. What is prob of sequence mbm?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 6*g**2 + 2*g - 4. Let j(n) = n - 4. Let v be j(10). Determine i(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**2 - q - 5. Let d = -11 + 4. Let j(r) = -8*r**2 + 2*r + 5. Let c(f) = d*l(f) - 6*j(f). Let b be c(-5). Sort -5, b, -0.4.\nAnswer: -5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 minutes before 3:19 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/9*3*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**4\/4 - 3*r**3 + 7*r**2\/2 + 60*r + 3299. What is t(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-16 + -16 + 90)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 94 = 5*m. Let b(j) = -j**3 + 9*j**2 - 7*j + 6. What is the remainder when b(7) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 1305.2025?\nAnswer: 1300.2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 849002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 651282966*k**3 - 56915*k + 1780?\nAnswer: 3907697796*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1 + sqrt(162)*1)**2*6 - 3*(sqrt(162) + -2 + sqrt(162))*4) + -3).\nAnswer: -648*sqrt(2) + 5994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-20) + (-92)\/(-20). Suppose 2*w - 30 = 4*z, -3*z + 3*w + 3 = -q*z. Let h be (-48)\/18*z\/(-44). Is h != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 0*p + 3*p**3 + 3 - 9\/4*p**4 + 0*p**2. What is the third derivative of d(m) wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -37*n**3\/3 - 95*n**2\/2 + 33*n. Find the first derivative of w(m) wrt m.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -28. Let k = 16 + t. Put 1, k, 3 in decreasing order.\nAnswer: k, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*k + 2*k - 22*k - 58*k**2 wrt k?\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275998105.\nAnswer: 5, 19, 41, 327599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -14*b**2. Let d(t) = -4*t**2. Let s(c) = -10*d(c) + 3*z(c). Let i(h) = -7*h - 5. What is s(i(j))?\nAnswer: -98*j**2 - 140*j - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose 3*z - 103 = -w*j, 5*z = -j - 4*j + 155. What is the highest common divisor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 173*z + 112. Let m(d) be the first derivative of 173*d**2 + 225*d - 199. Let q(c) = -9*i(c) + 4*m(c). What is the derivative of q(w) wrt w?\nAnswer: -173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19816 is divided by 374.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/9 + 3 + (-26)\/(-6). Let d(t) = t**3 - 3*t**2 - 3*t - 1. Determine d(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3689872 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aukg when four letters picked without replacement from gugkftfgkkkak?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c20 + -7?\nAnswer: -c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1751 and 187.\nAnswer: 19261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x + 4. Let b(w) = -4*w - 2. Let g(k) = 7*b(k) + 3*r(k). Let s be g(-7). Solve -3*v - s*i = 13, 0*v = -3*v - i + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/13)\/i*i**(1\/4))\/(i**1\/((i*i*i*(i*i**(-11\/4)*i)\/i*i*i*i*i*i)\/i)))**(-2\/79) assuming i is positive.\nAnswer: i**(-89\/1027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -204, -306, -420, -552, -708, -894, -1116?\n\"Answer: -h**3 - 95*h - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1 + 0*r - 3 + r**2 - 3*r. Let c = 243 + -225. Calculate the smallest common multiple of c and p(6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6842?\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11781*r - 2105*r - 3203*r - 8342*r - 2447*r.\nAnswer: -27878*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30037 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 90\/(-27)*2*6\/(-4). Calculate the greatest common factor of o and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 10:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 0*w**3 - 3*w**2 - 5*w**3 + 2*w**3 - 11 + 4*w**3 + 11*w. What is the tens digit of m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.07, -1\/6, 2\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m - 2. Let n(b) = 6 - 4*b + 11*b - 4*b + 2. Let x be n(-4). Let f(v) be the first derivative of -2*v**2 + 2*v - 1. Give x*f(c) - 3*z(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**2 - 32*w**2 - w**2 - 3*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 868, 1277, 1686, 2095?\nAnswer: 2504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.0357\nAnswer: -0.1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 21730 = 5*j, -9*j = -8*j + 3*u - 4344. Suppose 4833 = 9*p - j. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*n + 0*n + 2*n + 29.\nAnswer: -n + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 214.55 + -214.25. What is the second biggest value in -3, d, -505?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635545?\nAnswer: 5, 17, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sta when three letters picked without replacement from {s: 4, a: 5, t: 5}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -63386826 rounded to the nearest 10000?\nAnswer: -63390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 112 = -26*r - 6 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 15*x. Let s(u) = 14*u - 12. Let a(y) = -51*y + 44. Let p(r) = -3*a(r) - 11*s(r). Give 5*p(t) + z(t).\nAnswer: t**2 - 20*t","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the tens digit of 2163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63150497?\nAnswer: 331, 190787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:09 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**3 - 5*s**2 + 3*s - 5. Suppose 3*d - 15 = 0, 7*b - 4*b - 2*d + 40 = 0. Let q(u) = 3*u**3 - 2*u**2 + u - 2. What is b*q(z) + 4*g(z)?\nAnswer: -2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**6\/1260 + s**5\/70 + 3*s**4\/28 + 5*s**3\/3 + 3. Let x(t) be the third derivative of j(t). Find f, given that x(f) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (2 + (-7 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -0.07, 9108?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) 2 (c) 10\/9 (d) 4 (e) -296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 237 - 125 = 0. Is 229\/4 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1819541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drrr. What is prob of sequence rrr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*r + 4192 = 668 - 1192 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -4630855?\nAnswer: -3704684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/11950 and -52\/358305?\nAnswer: 856348950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 at most -0.1679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 10:49 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 67 = -v - 47, 4 = j + v. Which is the nearest to 2\/5? (a) 9 (b) j (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 4:57 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 26, 17, 8?\n\"Answer: -9*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**25)**(-1\/19)\/(z*z*z**(-5))**3)**(-17) assuming z is positive.\nAnswer: z**(-2482\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:23 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t**2 - t**3 - 2*t**2 + 17*t**2 as k + o*t + c*t**2 + r*t**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197\/20 + 59\/6. Let x = u + 23\/30. Let f(y) = y**3 + 5*y**2 - 7*y - 8. Let v be f(-6). Is x greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from aaaogyo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 63 + 97. Let p = z + -13. Let l = 31 + -22. Calculate the greatest common factor of l and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/(-1536))\/((3\/9)\/(4\/(-18))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424 = 13*k - 643. Let m = k - 156. Solve u + 13 = -m*c, 2*c + u + 3*u + 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(343))**2.\nAnswer: 14*sqrt(7) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97095643 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:26 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.021294 - -80.107294. Let t = y - 80. What is t rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 8) to base 4\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57831 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 28*g + 1. Calculate a(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000856242 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 37*x. Let w(k) be the second derivative of -44*k**3\/3 - 9716*k. Determine w(h(q)).\nAnswer: -88*q**2 + 3256*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54*(-77)\/4158)\/((-62)\/28 - (0 + -2)). Factor -14\/3*a**2 + 10 + q*a + 2\/3*a**3.\nAnswer: 2*(a - 5)*(a - 3)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*a + 14, -5*r - 2*a = a + 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 0*g = 5064*a - 5065*a - 186, 4*a + 3*g - 20*g = -791 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283b51 (base 12) to base 16.\nAnswer: a3aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {x: 2, z: 5, e: 7, f: 4, m: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/165240 and 113\/165240?\nAnswer: 165240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/9 + 26*n**4 - 254*n**3\/9 - 2146*n**2\/9 - 868*n\/3 - 944\/9 = 0 for n.\nAnswer: -118, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3*s + 4, 6*s - 9*s + 6 = 3*h. What is the closest to 9 in h, 0, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 519353 - 165353. Round h to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 213226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10323 and 3345984?\nAnswer: 103725504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -7*y + 106 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmo when three letters picked without replacement from pjmfppooojpmwo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 3*v + 2. Let p be w(-4). Let r be ((-3)\/(-2))\/(p\/4). Let b be 5 - -1 - (3 + -2). What is the greatest common factor of b and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8611.157 and 0.21.\nAnswer: 8611.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2324 (b) -1\/510 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116605962?\nAnswer: 2, 3, 11, 163, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/2220 and 19\/4810?\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30072 and 2296.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22131 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251340 = -12847*d + 330551 - 317614 + 390920 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -91714423906.7\nAnswer: -91714423878.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -41 - (0 - 1)) + (238 - 51) + -178?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00099091 to 6 dps.\nAnswer: -0.000991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1800 = 57*n + 18*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-71*488)\/(-4) + -2. Let s be ((-9)\/78)\/((-72)\/u). Let c = s - 110\/13. Calculate the common denominator of 125\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 65804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 238?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4 - 80*i**3 - 356*i**2 - 232*i + 672 = 0.\nAnswer: -14, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h - 62. Let l be b(6). Suppose -5*o = 3*j - 38, -2*o = j - 3*o - 2. Let d = j + l. Do d and 10 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, q: 2, t: 1}. Give prob of sequence tq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1037 - -589?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = -4*b, -34*i + 8 = -b - 31*i. Put 4, -5, b in ascending order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 32 = -l, 7667*l - 7669*l = -5*h - 29 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -13.22 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176560259461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m**5 + 317177*m**3 + 18*m**2 - m + 132338 wrt m?\nAnswer: 360*m**2 + 1903062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -22) + -182 + 133\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - t**2 - 5*t**2)*(1 + 0 - 2)*(-1 - 7 + 3)*(3 + 3 - 4 - 2 + 5 - 1 + (-5 + 0 + 3)*(0 - 2 + 0) + 1 - 2 + 2 + 2 + 0 + 0)*(-5 - 2 + 4).\nAnswer: 495*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1181 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:28 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11 + 2 - t + 3. Let h be f(-8). Calculate the least common multiple of 18 and (-118)\/(-10) - h\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45883 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105969, -211979, -317989, -423999?\nAnswer: -530009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkakkkkkkkkkkkkkakkk?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/140 - 11*y**4\/28 + 121*y**3\/14 + 7*y**2. Factor o(k).\nAnswer: 3*(k - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (283*j**2 - 84*j + 84*j)*(-j**2 - 6 + 6).\nAnswer: -283*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 8:51 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 2. Let t be p(-1). Suppose 4*y - 2 - 6 = -d, -5*d = t*y - 6. Solve 0 = z - y*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 99611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 (base 10) in base 8?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 2 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - q + 9. Is 869\/3*(-27)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 z when four letters picked without replacement from {k: 3, p: 6, z: 4}?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 - 42. Suppose 15 + u = 2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 943110 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:57 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -3, -2\/7, 21 in descending order.\nAnswer: 21, 2, -0.1, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 2*j + 2. Let a = 54 - 41. Suppose -5*r + 4*c = a, 3*r + 2*c = 3*c - 12. Calculate p(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43537 is divided by 3957?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 23*i - 682. Let t be k(40). Let d(g) = 4*g + 1. Let m(c) = -19*c + 2*c - 1380 + 1376. What is t*m(z) - 9*d(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 6)*(24 - 24 + 44*x + 3*x - 2*x + 7*x + (-4 + 3 + 2)*(-3*x - x + 2*x) - x + x - x).\nAnswer: -392*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (29 - (-35 - -38))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1331.3 - 392.7. Let t = b + 1723.6028. Let x = t - -0.4. Round x to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 divided by -138.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*m)\/(m*m**5)*m**(3\/2)*m*m**6)**(-31) assuming m is positive.\nAnswer: m**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -11 + 8 + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00514959 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -1.3. Let r be ((-2)\/15)\/((-3)\/(-60)). Let q = r + 10\/3. Which is the second smallest value? (a) t (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - ((-21)\/(-3) + -9). What is the greatest common factor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 62 + 24*w - 49*w - 68*w.\nAnswer: -93*w - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 2140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (18 - 26)) + (-3 - (-8 - 4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -931*v + 4. What is the units digit of y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 766 + -748. What is the least common multiple of k and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, h: 2, e: 4, o: 2}. Give prob of sequence ohen.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184190?\nAnswer: 2, 5, 113, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/126881172 and 35\/92772.\nAnswer: 380643516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 22.09. Let i = 0.01 - n. Let d = -0.2 - 0. Which is the nearest to d? (a) i (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5515a4 (base 14) to base 7\nAnswer: 33344164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*i = 5 - 15, 5*b + 2*i - 31 = 0. What is the second derivative of 5*n**b + 4*n**5 - 4*n**5 + 14*n wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8319769, -16639538, -24959307, -33279076?\nAnswer: -41598845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -251 + 142 + 134 + 5*d**2 as j + i*d**2 + p*d and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(75) - (sqrt(75) + 2 + (sqrt(75)*3 - sqrt(75)))) + 5)**2 + 5 + (3*(sqrt(75) + 2)*-4)**2.\nAnswer: 3380*sqrt(3) + 18906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 5*r**2 + 4*r**2 - 2*r**2. Let x(q) = 6*q. Calculate g(x(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6953 divided by 1?\nAnswer: -6953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*m*n*w - 161024*m*n - 2181591*m*w + 122*m wrt w?\nAnswer: 15*m*n - 2181591*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 25. Suppose -r - d = 30. Let t = r - -141. Calculate the highest common divisor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 88?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**2. Suppose 3*r - 35 = -2*a, 10*r = 3*a + 8*r - 46. Calculate the remainder when a is divided by p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6175 and 185725?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 1, o: 1}. Give prob of picking 1 l and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*1\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -27*w. Let l be (-40)\/(-12) - (-4 + 13\/3). Let b(g) = 288 + l*g - 288. Give k(b(d)).\nAnswer: -81*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:20 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 12:53 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -0.9. Let w = d - 1. Is w >= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811786.\nAnswer: 2, 79, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 1. Let h(t) = 2*t**2 - 5. Let o(x) = h(x) - u(x). Let z = -33 + 50. Suppose -z*l = -21*l - 12. Determine o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*x + 12 = 191*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jajj when four letters picked without replacement from kfkjajvjjjajvajfj.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*i + 6256, 2151 + 7261 = 3*h + i. Let o be 3\/(7\/(h\/12)). Suppose 12*w + o = 412. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14169729 divided by 2024247\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 8, -4 in increasing order.\nAnswer: -4, 3, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let g be (b + 1)\/(12\/(-6)). Solve g*z + 3 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -13208940.893?\nAnswer: 13208938.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33583941 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -76. Let c be 8 + -10 - (p - 14\/5). Put 8, c, 0.1 in increasing order.\nAnswer: c, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/20*-2 - 481\/130?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1291 and 0.2031.\nAnswer: -1290.7969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-3)\/(-2))*(-1060)\/(-318)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, a: 5, l: 3, k: 3}. What is prob of sequence kakx?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 5*c**2 + 36*c + 20*c - 10*c - 6*c**3.\nAnswer: -6*c**3 - 5*c**2 + 46*c + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.67 + -0.67. Sort j, -9, -1\/6, -1\/4 in descending order.\nAnswer: j, -1\/6, -1\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6837792, 27351387, 61540712, 109405767, 170946552?\n\"Answer: 6837865*m**2 - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 39. What is the remainder when 52 + 6\/(6 - j) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52126*j**2*m**4 - 3*j**2*m**2 + 2*j*m**4 - j*m**2 + 130*m**2 wrt m?\nAnswer: 1251024*j**2*m + 48*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 7*l - 52. Let r = -9 - l. Solve -1 = 5*x + k, 0*k + 12 = -r*x + 2*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17051524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -195*m**3 + 12*m**2 + 8*m + 8. Let d(b) = -130*b**3 + 8*b**2 + 5*b + 5. Let z(p) = -8*d(p) + 5*w(p). What is the third derivative of z(l) wrt l?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Solve -m*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*n - 4 = 0, 0 = 5*w - n + 1 - 2. Let q = 2 + w. Suppose 0 = -q*z - 951126 + 251126. What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 4*x**2 - 3*x - 1. Let a be j(-2). Let q = a - -32. Solve q*f = 4*r - 18, -10 = f + f - 3*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.13041 times -11\nAnswer: -34.43451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 62\/(-5)*(-12 + 7). Let k = b - 59. What is the second biggest value in 0.2, 0.1, k, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*w*z**2 + 49*f*w*z - f + 13*w*z**2 + 2*w + 4*z**2 - 1 wrt z?\nAnswer: 6*f*w + 26*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152469 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1679 + 105787\/8395. Find the common denominator of -93\/8 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + m**2 - 71. Calculate r(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 395*j - 3698. Calculate r(9).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7405 - -65592. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -0.06816?\nAnswer: -1.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v - 761 + 425 = -103*v + 429 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 4 (c) 1 (d) 3\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -4722650.619344?\nAnswer: -4722650.219344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 389681911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (42 - (2 + 1)). Suppose -u + h = 3*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/325 - 3\/25. Let v be ((-4)\/12)\/(3\/(-54)). Let t(a) = -a**3 + 5*a**2 + 5*a + 5. Let b be t(v). Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1080*a - 192250. Calculate o(178).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-390)\/4095*(-1 - (-506)\/(-5)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 + -54. Suppose 64 = 4*x - 3*j - g, j = 4*x - 336. Let b = -10 + 27. What is the greatest common divisor of x and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = 10, -57 = -5*t + 4*i. Let b be (-35)\/3 + (-4)\/(-6). Let a = -7 - b. Solve -a*c + 11 + t = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l + 2. Let d be j(3). Solve -7 + d = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4442 + 4428 = 2*b, -z = 2*b + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w + 4, w + 9 = -4*o. Let v be (-16)\/(-6) - o\/(-3). Let b = 2 + v. What is the smallest value in 0.4, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 107*k**2 - 112*k**2 + 10 - 5 - 7*k**3. Let r = 9 - 6. Let n(a) = -r*a**2 - 4*a**3 + 0 - 2 + 5. Determine -5*n(b) + 3*x(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.31275 + -0.30675. Which is the nearest to -1? (a) -4 (b) -1\/7 (c) -0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 42 = 3*v, 130*a = 125*a + 8*v - 47 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/91 and (47\/24*2)\/((-455)\/(-28)).\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.7 + -24. Let l = q - -4.3. Let h = -5.5 + l. What is h rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40188296 rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6*2\/((-16)\/(-28))*1 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 82*o - 177. Give b(-19).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 10*i - 16. Suppose 2*w = -0*q - 4*q + 28, -5*w - 50 = -5*q. Let k be -15 - 2\/(q\/(-12)). Let u be f(k). Which is smaller: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11252*o**4 + 341*o - 49557809.\nAnswer: -45008*o**3 + 341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-12 - -14)\/(8\/(-2)). Let w = -159 - -4291\/27. Is t at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -199c?\nAnswer: -1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x**2 + 361*x - 48. What is d(40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 27*i + 2112. Give c(-72).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2. Let h(o) = o**2 - 18. Give g(h(a)).\nAnswer: 4*a**4 - 144*a**2 + 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2645 and 45?\nAnswer: 23805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11455 - -18374. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.59861 kilometers in meters?\nAnswer: 3598.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*o + 10. Let g(w) = 2*w**2 + 3*w + 1. Is 17 a factor of g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 7, i: 4, e: 2, v: 4, s: 2}. What is prob of sequence yeds?\nAnswer: 7\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*z - 21*z + 2*z - 5*z + (5 - 3*z - 5)*(3 - 2 + 1).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11110 + -1955. Let i = -13\/1138295 - -31245287153\/3414885. Let f = g - i. What is the common denominator of f and -56\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -333, -338, -343, -348?\n\"Answer: -5*g - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(5))**2*-4 + -5*sqrt(1216).\nAnswer: -40*sqrt(19) - 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.7? (a) -3 (b) 2.2 (c) -5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 411?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -419.\nAnswer: 25\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3504677 to the nearest integer?\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 16695, -2.\nAnswer: -156, -2, 16695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1220*j - 124. What is the thousands digit of f(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 18. Let r = 13 - i. Let n = -4 + 3. Which is the nearest to r? (a) 0.2 (b) -2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*w - 46*w + 95 - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5785*p**2 + 2827*p**2 - 4601*p**2.\nAnswer: -7559*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -2*a - 470. Let p = -102 - -238. Let d = p - 950\/7. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13819*t**3 - 13826*t**3 + 27642*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15590 + 6b?\nAnswer: 1563b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -2985 and -2984 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -22*q - 300. Give p(-10).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-2)*(28\/10 + 1) and 20\/167.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 2:52 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 421 - 26850?\nAnswer: -26428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a micrometer in nanometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + c - 1. Let j be y(-2). Suppose g + 5*h - 159 + j = 0, 5*h + 920 = 5*g. Calculate the remainder when g is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2779511.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 15*d - 16. Let f(m) = 29*m - 7*m**2 + 8 + 2*m**2 - 6 + 31. Let r(y) = 4*f(y) + 7*g(y). Let c be r(-9). Solve -6 - 4 = c*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6112, -27, -4, 11 in decreasing order.\nAnswer: 11, -4, -27, -6112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6702060 divided by -1140.\nAnswer: -5879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 519654?\nAnswer: 519654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from {t: 3, w: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((1*sqrt(18)*2 + sqrt(18))\/sqrt(6) + -5 - (-4 + sqrt(18)\/sqrt(6) - (sqrt(3) - sqrt(75)*-3))))**2.\nAnswer: -36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0692895*-3\nAnswer: 0.2078685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 2. Let o(d) = d**2 - 7*d + 1. Suppose 3*z = 3 + 12. Let u be o(z). Does 9 divide y(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1714009 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 664 + -701. Let b(z) = -4*z**3 + 2*z**2 + z. Let g be b(-2). Let m = g + h. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 475 + -475.776. Let n = h - -0.776000673. What is n rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157348?\nAnswer: 2, 139, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.6651 and -5.39846.\nAnswer: -3.73336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-77) + 15158\/(-770))\/((-9)\/(-45)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 42*z**4\/5 - 1111*z**3\/5 - 12734*z**2\/5 + 5933*z\/5 - 126 = 0.\nAnswer: -9, 1\/6, 2\/7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*p = 369*p + 63 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.736 - 0.436. Let d = y + -26.300000298. Round d to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -988*o**2. Let x(h) = -1260 - 4*h**2 + 2484 - 1224. What is v(x(p))?\nAnswer: -15808*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 40*o = -120. Suppose o = 2*w + 24. Solve -15 = w*g - 0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/3)\/((-6)\/(-135))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 304 = -u, 0*s + 4*u + 324 = 4*s. Suppose -5*g + 193 + s = 0. Suppose -3*j = -3*p + g, -j + 6 = p - 6*j. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/252 and 23\/39726?\nAnswer: 556164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2. Let u(m) = -68356*m + 1012. Let a(p) = 1085*p - 16. Let x(w) = -253*a(w) - 4*u(w). Determine x(v(r)).\nAnswer: -3243*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -63) + (-4803 - -4761)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -24. Suppose -6 - h = -5*t + 5*c, 0 = -5*c + 25. Solve 4*u - t = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.100313 - 55.1. What is n rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63c2d2 + 0?\nAnswer: 63c2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 960\/1305 - 12\/18\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15716.\nAnswer: 2, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1129, -8997, -30331, -71863, -140325?\n\"Answer: -1122*f**3 - f**2 - 11*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 56 - 1053 - 857 + 191.\nAnswer: 2*f**2 - 1663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 + 8*f - 8. Let o be q(6). Suppose s + o = -2. Is 5 a factor of (-84)\/(-15) - s\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c + 363 = 111 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - 13*y**2 + 6*y - 7. Suppose -5*t = 4*s - 23, 0*t + 4*s = 5*t - 47. Is d(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 787369779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.069, -26, 0.4, -0.05, -5, 3.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135691 - 31410. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*5\/(-30)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -67, 3, -5, 1, -1, -149 in ascending order.\nAnswer: -149, -67, -5, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -145103 (base 6) to base 12\nAnswer: -8193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11527, -46112, -103751, -184444, -288191, -414992?\n\"Answer: -11527*r**2 - 4*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26703215, -53406390, -80109555, -106812704, -133515831, -160218930, -186921995, -213625020?\n\"Answer: j**3 - j**2 - 26703179*j - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(16\/3840*15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 23*k + 5. Let h be 1\/k - (-61)\/(-5). Calculate the remainder when 9 is divided by h*(-3 + (-20)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 5*u - 5. Let c(i) = 2*i**3 - 11*i**2 - 5*i - 1. Let x be c(6). Determine f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 23. Let v = 8 - -39. Let p(o) = 7*o + 1 + v*o**2 - 4*o - 42*o**2. Let j(f) = 14*f**2 + 8*f + 3. Give k*j(g) - 11*p(g).\nAnswer: g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*r - 255, o - 99 = r + 144. Let s be o\/(-36)*(-227 + -1). Suppose -5*w + w = s. What is w rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 10*d**2 + 11*d - 20. Calculate the remainder when u(-6) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6604 and 832?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 12:41 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*191321.\nAnswer: -2487173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a - 53*a = 85*a + 1663 - 5968 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077613.\nAnswer: 17, 63389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/12 + 29*q**5\/45 + 37*q**4\/36 - 2*q**3\/3 + 1160*q**2. Find m, given that n(m) = 0.\nAnswer: -3, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -82. Suppose j*d + 10 = 11*d - 3*q, -4*d = -3*q - 5. Solve d*o = -5*i + 35, 3*i - 19 = -4*o + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -72472*d - 3116238. Determine j(-43).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 2*u**6\/75 - 7*u**5\/75 - u**4\/15 + u**2. Suppose s(a) = 0. What is a?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 235365 and 4828.\nAnswer: 941460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - c. Let j(z) = -5*z**3 - 6*z**2 - 5*z. Let i = -64 - -59. Let r(u) = i*q(u) + j(u). Find the third derivative of r(k) wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0 + 0)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 107366 (base 8) to base 9\nAnswer: 55174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3243.39 - 3280. What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 5*f + 111. Let h(m) = -m. Calculate -b(j) + 3*h(j).\nAnswer: -3*j**2 + 2*j - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 + 6*s + 7. Let d be p(-7). Suppose -z - 2 = -5. Let m be z\/d - 4\/8. Put -0.4, 4, m in decreasing order.\nAnswer: 4, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -103, -248, -483, -832, -1319, -1968, -2803?\nAnswer: -3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -945*f**4 + 3180*f**3 - 2935*f**2 + 720*f - 20 = 0?\nAnswer: 2\/63, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 8*x**2 - 6*x + 5. Let w be t(-7). Let n = 8 - w. Let z = n + -2. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6734 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -19 (c) -3\/2 (d) 0.7 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d + 792 = 29*d - 24*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*a + 2 - 20, l - 2*a = -2. Let v(k) = 3*k - 3*k**2 + 4*k**2 - 2*k**2 - l*k + 3. Suppose -12*w = -w - 3*w. What is v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 36*g**4 - 548*g**3 + 784*g**2 + 3356*g + 2044. Let j(y) = 4*y**4 - 61*y**3 + 87*y**2 + 373*y + 227. Let v(p) = -28*j(p) + 3*t(p). Factor v(n).\nAnswer: -4*(n - 14)*(n - 4)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (2 - 28\/8))*2. What is the second derivative of -6*k**3 + 97*k - 77*k - 8*k**z wrt k?\nAnswer: -84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74? (a) 22 (b) -8 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86.73 * -0.1.\nAnswer: 8.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/40660 and 63\/8.\nAnswer: 81320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from rrbbbbrbbbbbbbbbbbbb.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -7\/4 (b) -1 (c) -2\/3 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3*x = -12, x + 22 = -2*d + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrh when three letters picked without replacement from yurhr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 + 245. Let o = n - 83. Calculate the highest common divisor of o and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368 - -373. Let b(r) be the second derivative of -r + 1\/273*r**7 - 1\/39*r**3 + 2\/195*r**6 - 1\/39*r**4 + 0*r**l + 0 + 0*r**2. Factor b(v).\nAnswer: 2*v*(v - 1)*(v + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2783005, -2783004, -2783003?\nAnswer: -2783002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 3. Let i be (-4)\/(-60)*-9 + 76\/10. Let y(k) = -9*k + 6. Let c(p) = 16*p - 11. Let t(z) = i*y(z) + 4*c(z). What is t(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v - 137. Let x be f(-20). Let n = -311 - x. What is the remainder when 86 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0.1, 11, -1\/3.\nAnswer: -24, -1\/3, 0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.00977 in -5, 3\/2, -881.9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2243 - -52) + (4 + -2)*(-5)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5*(3 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from igzigix?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from rpcriucurpij.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23093.4 + 23093. Let m = 11.76 - -0.24. Let j = -6 - -2. Sort j, -1, p, m in decreasing order.\nAnswer: m, p, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-315)\/(-20))\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from yyflqiiffqqyfllfil.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let r(s) = -3*s**2 + 5*s. Suppose 38215 - 38143 = 24*n. Calculate n*r(c) - 6*x(c).\nAnswer: -3*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d + 2. Let p = 299 - 294. Let y(x) = 6*x - 1. Determine p*y(r) + 3*k(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 473 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471 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: What is the third biggest value in -58, -344, -15, 0.04?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 41*z + 918. Let d be i(34). Solve v - 14*v = d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1273575, -2547191, -3820807, -5094423, -6368039, -7641655?\n\"Answer: -1273616*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 0, -54443, -0.2, 3 in descending order.\nAnswer: 3, 0, -0.2, -4, -11, -54443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 95 = -4*t, -t - 3*t - 40 = -4*q. Suppose -j = 4*m - 23, q = -j - 2*j. Let u = 19 - m. What is the remainder when 34 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6490 divided by -3245?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (755*t**2 - 395*t**2 - 427*t**2)*(-5*t - 7 + 7) + 4*t**3 + 0*t**3 - 2*t**3.\nAnswer: 337*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 5 - (7 - 8) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 129705 to the nearest one thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*h**6 - 3*h**6 - 665*h**2 - 105*h**4 - 3*h**6 + 3*h**6 + 80*h**2 wrt h.\nAnswer: -360*h**3 - 2520*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -102002210?\nAnswer: 102002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 25 = -7*s + 3*u, 2*s = -5*u + 45. Suppose s*z + 9 = 13*z. Determine y, given that -1\/3*y**4 + 0 + 1\/3*y**2 + 0*y + 0*y**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2573379 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x. Let o(c) = -c**3 - 37*c**2 + 74*c - 23. Let z be o(-39). Let a = 1993\/15 - z. What is the smallest value in x, 1, -9, a?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -2951?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 346350, 346512, 346948, 347796, 349194, 351280, 354192?\n\"Answer: 23*b**3 - b**2 + 4*b + 346324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -347 + 359. Suppose 3*w - 2*a - f = 0, -4*a = 4*w - 9*a - 23. Sort -1\/4, 46, w in ascending order.\nAnswer: -1\/4, w, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z, z - 21 = -l + 2*z. Let b be 0*(-2)\/(-4*1). Suppose -5*t - l = b, 0 = 5*o - 5*t - 185 - 105. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 2}. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-8) - 5\/20. Solve -12 = 2*x - 5*x + 2*a, -4 = -x + i*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2334, 4, 5, -5, -90, 1 in decreasing order.\nAnswer: 2334, 5, 4, 1, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 - 3*v**2 - v + 3. Let w be k(2). Suppose 4*o = w*q - 68, 3*q + 10*o = 6*o + 28. Suppose 11*u - q*u = 0. Solve -4*c + u*c - 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a68 (base 16) in base 5?\nAnswer: -204020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-1))\/3*-4)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*q - 4*q + 4*q)*(2*q + 4 - 4)*(-2 + 1 + 2) to r + x*q**2 + k*q and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 4, -1868 in ascending order.\nAnswer: -1868, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 13 + 12. Suppose 4*i + 4*w = 5*i - 65, -4*w + 277 = g*i. Suppose -2*a = -3*t + 7*t - 66, -4*t + a = -i. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-70))\/(((-48)\/(-30))\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-25))\/(-6)*210\/(49\/7)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/18*2*-1. Let n be m + (-6894)\/(-4) + 10\/20. Let w = n - 1204. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 + 170. Sort -0.02, d, 5 in decreasing order.\nAnswer: d, 5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/10 + (-3 - (-293)\/120). Let t(x) be the third derivative of 0*x**3 + 1\/24*x**4 + 0*x - o*x**5 + 0 + 1\/80*x**6 + x**2. What is s in t(s) = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.48 - -1.48. Let o = 0.6 + -0.5. Which is the nearest to m? (a) o (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + ((-24)\/(-15))\/(4\/340).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37402.0939 to the nearest one hundred.\nAnswer: -37400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*b - 675306 = -3*c + 511*b, 0 = -c - 4*b + 225105. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*p + p - 85, -2*w + 56 = 4*p. Let z = 0 - -2. Calculate the highest common factor of w and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58967 + -26976. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108.1 - 108. Let y = 6 - 5.6. Let b = y + o. What is the nearest to -2 in -1\/5, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(-35) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, -411, -1789, -4725, -9801, -17599, -28701?\n\"Answer: -97*x**3 + 94*x**2 - 5*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**13*f\/(f*f**(-13\/5)*f)*f**12*f\/(f\/f**(-8\/5)) assuming f is positive.\nAnswer: f**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.014 - 259.014. Let u = 367 + i. Let b = 108.0000127 - u. Round b to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -19*s**7\/105 - 11*s**6\/12 + 41*s**5\/15 - 2*s**4\/3 + 3*s**2 - 8. Determine h, given that l(h) = 0.\nAnswer: -4, 0, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 9. Suppose 2*n = d - 0*n - 5, n = -5*d - 30. Let v be f(d). What is the closest to -3 in -2\/3, 1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -52. Solve 5*r + 6*s + 32 = 3*s, 4*s + c = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 12*a**2 - a + 14. Let l be p(-12). Suppose l*n - 29*n + 63 = 0. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -2, -535, -0.2 in descending order.\nAnswer: -0.2, -1.2, -2, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22 - 0\/(-1 - -2). Let w(q) = -q**3 + 6*q**2 - 3*q + 14. Let v be w(6). Let d be (-6 - -5)\/(1\/v). Put -2, d, u in descending order.\nAnswer: u, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105.75014202 and 0.5.\nAnswer: 106.25014202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-5*2\/4. Let u = -25252 - -25251.4. Let v = 0.056 - 4.056. Which is the third smallest value? (a) u (b) v (c) k (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 + 645*d**2 + 31028*d + 113856 = 0. Calculate d.\nAnswer: -593, -48, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3936928 divided by 2?\nAnswer: 1968464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1 - 3. Let d be (x\/3)\/(2\/(-54)). Suppose -s - 3*s + 2*v = -d, 2*s - 5*v = 29. What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 - -12) + 0\/(-2). Which is the nearest to 0? (a) -0.7 (b) 1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {y: 4, c: 1, x: 1, q: 1, z: 1, l: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 297, 325, 357, 393, 433, 477, 525?\n\"Answer: 2*c**2 + 22*c + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/3, 5, -1\/775, -22, 0 in descending order.\nAnswer: 5, 1\/3, 0, -1\/775, -0.2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-72)\/(-54) - ((-1495662)\/9)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tsdtttdtttddtdttddt?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 578 = 3*q, 0*f + 934 = 5*q + 4*f. Let p = q + -183. Suppose -m + 15 = -b, m + 55 = 4*m + 2*b. What is the remainder when m is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/6)\/v*v\/(v\/v**0)*(v\/((v*v**(-1\/2)\/v)\/v))**(-3\/5) assuming v is positive.\nAnswer: v**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 = 6*k. Let f(u) = -u**2 + 6*u - 5. Let y be f(4). Solve 13 = k*j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -3, 11, -5, 128, -8 in descending order.\nAnswer: 128, 11, -3, -5, -8, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 98 = -3*b, 2*s - 2*b - 96 = -0*s. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83934 divided by -9326\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1350 or -4?\nAnswer: 1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 39, -0.5 in descending order.\nAnswer: 39, 4, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4000*d**4 + 112400*d**3 + 224280*d**2 + 154252*d + 35672.\nAnswer: 4*(d + 26)*(10*d + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Let u = -87 + 91. Which is the third biggest value? (a) w (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8\/7, 15, -1, -3\/5, -2\/9, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzx when three letters picked without replacement from {x: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -124 + 5*f**2 + 124 + 11*f + 3*f**4 - 2*f**3 - 3*f**2 in the form j + u*f + q*f**2 + o*f**3 + m*f**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8740550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5*u + 4*u - 2*u.\nAnswer: -3*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 760446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20659 - -0.837447.\nAnswer: -20658.162553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3728\/11907 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146 and 3.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 98.1. Let r = -1.2 - -0.9. Which is the nearest to 0.1? (a) -5 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.11 (b) 1\/3 (c) 5 (d) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*j - 1, 5681*j + 13 = 5*t + 5683*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-14\/5)\/(y\/(y*y**(2\/3))) assuming y is positive.\nAnswer: y**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2772*z**2 + 12*z + 13. Is t(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 2*k**2 - 4*k - 4. Let j be u(2). Suppose -2*f - 2*r - 31 = -913, j*f + r = 1779. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17 + 8*t - 18*t - 25*t. Is j(-4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101192 + -27.6?\nAnswer: 101164.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = q - k, -8 - 12 = 4*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 5, f: 8}. What is prob of sequence sfst?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f**(-1\/6))**(1\/41) assuming f is positive.\nAnswer: f**(-29\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3\/y**3*y**(3\/8)\/(y*y*y**(-2\/17)*y*y*y)*(y**(-1\/2)\/((y*y**(-3\/5)\/y*y)\/y*y))\/((y*(y**5*y)\/y)\/y**(2\/15)) assuming y is positive.\nAnswer: y**(-22999\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023486982 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -4*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 40*k + 52 + 4, 11*k + 26 = 22*b + 12*k - 108 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 4*j**2 + 11*j - 4. Let z(q) = -5*q**3 - 25*q**2 - 65*q + 25. Let i(x) = 35*n(x) + 6*z(x). Find b, given that i(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2145500 (base 6) to base 12\nAnswer: -52290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**3 + 155*g**2 - 57*g + 363. Let h be b(-52). Is 624 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*i**3 + 167*i**3 - 132*i**3.\nAnswer: 105*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13380 and 48740664?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(208) - (1 + sqrt(208))) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 3*u**2 + 5*u - 1. Let f be q(4). Let x = f + -19. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8427366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 - 104 - 2*x - 370)*(1 + 0 + 1)*(2*x - 2*x - x).\nAnswer: 4*x**2 + 684*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 1071 (b) 4\/7 (c) 1061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = i - 16 - 9 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49285 or 49287?\nAnswer: 49287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -303 + -81. Let h = -207 - v. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (0 + sqrt(200)*-1) - sqrt(200))*6 - (0 + (-3*(sqrt(72) - (sqrt(72) + -1)) - sqrt(72)))**2.\nAnswer: -81 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*t - 5*t - 20 = 0, -t - 13 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 27*y = 152. Let n(t) = -5 + t - 2*t - 2*t + t**3 + 4*t**2. Calculate n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 + 43?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -899.1 + 989. Let a = t + -98. Round a to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*j**4 - 638*j**3 - 82*j**2 + 9*j + 317929?\nAnswer: -228*j**2 - 3828*j - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 121.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 3 + 23*c**2 - 6*c**2 - 11*c**2.\nAnswer: 3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10168 - -10174. Solve 0 = -c*a - 55 + 61 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 3. Calculate b(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/23, 26, 3\/4, 80, -6\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooh when three letters picked without replacement from {h: 10, o: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(140)\/sqrt(7) - ((sqrt(2420) - (sqrt(2420) - sqrt(2420)*-5)) + sqrt(2420)))\/(3*sqrt(360)*6*6).\nAnswer: 5*sqrt(2)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309 divided by -1831.\nAnswer: -309\/1831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:28 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.0228?\nAnswer: 0.00456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 5:37 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 242148078269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -12 + 55*k - 53*k - 2 + 2. Let m be x(8). Let b be (m\/(-8))\/(3\/(-78)). Solve 4*p - 3*t = -b, 1 + 0 = -t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 20 = 4*o, 0 = 2*v - 0*o - 2*o + 10. Let g = v - -2. Differentiate 2*x**g + 2 + 1 - 5 wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -568 - -580. Let n be (2 - 15\/m)*(5 - 1). Determine c, given that -6\/5 - 4\/5*c**2 - 1\/5*c**n + 11\/5*c = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2. Let j(l) = 22 - 14901*l - 3 + 14905*l. Determine j(d(f)).\nAnswer: -4*f**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -9\/214 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 2*f**5 + f**3 + 0*f**5 + 2*f**5 - f**5 - f**2 + 2*f**5 + f**2 + (2*f**5 + f**5 - 2*f**5)*(1 - 1 + 2) + 3*f**5 - 5*f**5 + f**5.\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/4 - 5*d**2\/4 - 125*d\/4 - 375\/4 = 0. Calculate d.\nAnswer: -5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 9 = -20*c. Solve -8 = -2*i - 5*p, -5*i + 0*p = p + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(2\/(-6)). Suppose -g - s*g = 5*v - 34, 0 = 3*g - 4*v + 11. Solve g*m = 3*x - 18, 3*m = 2*x - 0*m - 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81078, 162180, 243278, 324366, 405438?\n\"Answer: -i**3 + 4*i**2 + 81097*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/13 + -37\/78. Let w = -0.2139 - -0.1139. Let l = 28\/3 + -86\/9. Which is the closest to w? (a) l (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 7578 = -4*a. Let q = -426 + a. What is the fourth smallest value in 0.2, -2, q, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810505325 a multiple of 931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10*25*-1. Let c = g + 0. Let j(u) = -3*u + 4. Calculate the smallest common multiple of c and j(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304775 to the power of 1\/2, to the nearest integer?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 3. Let i(l) = 451*l - 33. Calculate 4*i(z) + 44*p(z).\nAnswer: 1892*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36455*a**2 + 36455*a**2 - 985*a**3)*((-3 + 5 + 1)*(-2 + 2 + 3) + (-4 + 6 - 4)*(3 - 1 + 0)).\nAnswer: -4925*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451600014?\nAnswer: 2, 3, 463, 162563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*b - 140*b - 87*b)*(2*b + 2*b**2 - 2*b) + 3*b - 3*b + 6*b**3.\nAnswer: -382*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 - -102012120?\nAnswer: 102002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11 = -f, 3*z - 2*z + 6*f = 780 - 693 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 106.29 (c) -3585\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4838781, -4838799, -4838829, -4838871, -4838925, -4838991?\nAnswer: -4839069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -545 + 5?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11096 divided by -2.\nAnswer: -5548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 5 = 5*m + t, 4*t = -3*m + 19. Let v = 7 - m. Suppose v*o - 20 = -4*f + 6*o, 2*o + 20 = 4*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1356.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 580*a + 20538. Calculate t(-38).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 880 - 880.5. Sort -1, 2\/117, u.\nAnswer: -1, u, 2\/117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*y + 2*m, 3*y + 2 = -2*m - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 75\/10 + 26\/4 + -2. Factor 8\/3*p**z + 7\/3*p**3 + 0*p + 0 + p**5 + 2\/3*p**2.\nAnswer: p**2*(p + 1)**2*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*(54 - 12). Let u be (-18)\/((-9)\/3)*-2. Let t be u\/42 + 100\/7. What is the highest common divisor of t and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/7))**(-25)\/((x\/(x*x**2))\/(x\/((x*x**(1\/2))\/x))))**44)**(-15\/4) assuming x is positive.\nAnswer: x**(10725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -43432 divided by -2?\nAnswer: 21716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Suppose -3*r = 2*t - t - 2, -g*t + 4*r + 6 = 0. Solve -5 = -t*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 6*g. Let y be s(-5). Let x = 75\/11 - 7. Which is the second biggest value? (a) x (b) y (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 2. Let g be ((-1)\/3)\/((-1)\/15). Let o be f(g). Suppose -z - l + 3 = -0*z, -5*z + 25 = o*l. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(2\/2*-7). Which is the second biggest value? (a) 0.2 (b) o (c) 2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*s + 16 = 0, 0*s + 20 = -5*r - 4*s. What are the prime factors of 468\/21 - r\/(-14)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 81225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 3*f**2 + 13*f. Let p(u) = -2*u**3 + 4*u**2 + 14*u. Let c = -3195 - -3192. Calculate c*a(m) + 2*p(m).\nAnswer: 2*m**3 - m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -301450683 to the nearest 1000000.\nAnswer: -301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 2*r**3 + 2*r**3)*(5*r + 1 - 6*r + 1 + (2 - 2 + 2)*(-r + 14 - 14)).\nAnswer: 3*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*j = -132*j - 10 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1)\/((-20)\/(-16)*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -435444, -2, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2*f**2 - 4*f + 2. Let r(g) = g + 21. Let d be r(-25). Calculate the remainder when m(d) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 58. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1572745 or -1572744?\nAnswer: -1572745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2165.503*101\nAnswer: 218715.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let k(a) = -a + 36. Let n be k(r). Let g = n - 18. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/12 - 4*z**3\/3 + 6*z**2 - 3*z. Let w be b(11). Let r be ((-2)\/(-3))\/(6\/w). Which is smaller: 6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.3, 3, 1\/326?\nAnswer: 1\/326","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 275 and 5.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/5, 2, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {e: 2, l: 1, k: 1, m: 4, b: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 41. Let r(d) = -76667*d**3 - d**2 + 2*d + 6. Let z be r(g). What is z rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 145, -1.6, -1, -0.049, 0.2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85067139 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: Calculate the remainder when 266200 is divided by 1767.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 11:26 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*-3*(14\/12 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 34 + (-39 - (-15 - 15)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmrhrchhrrlphrmrmhr. What is prob of picking 1 l, 1 r, and 1 m?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let h(z) = z**2 - 21*z. Let d(r) = 19*r. Let o(s) = -3*d(s) - 2*h(s). What is o(m(y))?\nAnswer: -2*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = -16. Let n be ((-15)\/9)\/(1\/m). Suppose -1061*c + 1053*c + 112 = 0. Solve -1 = n*p - i + 22, -2*p - c = -2*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:30 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1044.25 from 110465.8.\nAnswer: 111510.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -k + 76. What is the greatest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:12 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 + 6*n - 10. Let v be u(7). Suppose 2*d = 4*o + 66, -3*o + o - 48 = 2*d. Let q = o + v. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 <= -10266\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 671347135 + 4?\nAnswer: 671347140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2000)\/(-12))\/(-1)*(-6)\/(-4). Let u = -151 - v. Is u < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180609330 to the nearest one hundred thousand.\nAnswer: 180600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-21)\/n**28 assuming n is positive.\nAnswer: n**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 214065810 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 + 254\/(-2))\/((-2)\/4).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*(sqrt(81) + sqrt(81) + sqrt(81)*-1))\/(sqrt(108)*2))\/((sqrt(27) + sqrt(27) + sqrt(108)*-2)\/sqrt(3)*-2).\nAnswer: -1 - sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -2\/15, 28, -0.5, 3, 62\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 7 = -4*j - 3*h, j + 2*h + 26 = 0. Let p = -20 - j. Find the third derivative of -2*m**2 + m**2 + 0*m**6 + 6*m**p - 6*m**6 wrt m.\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 38. Suppose 4*a = c*f + 12, 5*a - f = 2*f + 13. Solve -3 + a = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/15 - 98*c**2 + 90768*c\/5 - 267912\/5.\nAnswer: 2*(c - 366)**2*(c - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*u**2 + 2 + 108436*u - 108436*u - 48*u**3 wrt u.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, p: 1, d: 2, m: 4, r: 2}. Give prob of picking 1 m and 1 d.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 4*m**2 - 5*m - 2. Let k be u(5). Let h = k + 6. Suppose -h*i = i. Which is the smallest value? (a) 0.5 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:42 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 8979 (c) 1 (d) 5 (e) -2\/3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 51*h**2 + 60*h**2 + 2 + 0.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19145 + -57440\/3. Let o be ((-4)\/(-102))\/(1\/(-3)). What is the second smallest value in o, 19, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 6) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*m - 46697 + 69335 = 51545 for m.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((0 - 3) + (3 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**2 - 8*r**2 - 7*r**2 + 37*r**5 - 49*r**5 wrt r?\nAnswer: -720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -53*p - 6414. Calculate u(-124).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1060038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03747 and -1.06?\nAnswer: -0.0397182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*(1 - (-1 + 1)). Calculate the common denominator of (1\/5)\/(n\/(-1825)) and -21\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18464 divided by -1661\nAnswer: 18464\/1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 + 6*f + 5. Let p(n) = n**2 + n + 1. Let s(k) = 6*p(k) - y(k). Let u(l) = -12*l**2 - 11. What is -22*s(o) - 2*u(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Suppose 4*g - 121 = 79. Let k(f) be the first derivative of g*f - 50*f + 5*f**2 - 9. What is h(k(d))?\nAnswer: 200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + 5 + (-4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. Let l be -1 - g\/(-2) - -6. Suppose 2*q = l*q - 30. Is q 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 1260484 and 724?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 17*f - 6*f - 183 = 0, 5*c + 2*f - 55 + 9 = 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -190064 at least -190059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27018\/(-18))\/(-19)*1*9\/((-9)\/(-1))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78346 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(10\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1127 and 130249.\nAnswer: 911743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 37.3. Let l = -4.29999929 - u. Round l to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4676381318?\nAnswer: 2, 7, 17, 19648661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:55 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 2*j + 4 = 0, 1 = -v + 3*j. Suppose -3*q = -d + 221 - 80, 3*d - v*q = 388. Suppose 11*n - d = 2*n. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + -0.23. Let w = 64\/35 - 10\/7. Which is the closest to y? (a) w (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n + 5. Is i(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*q - 79*q = 152*q + 5748 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -500 - -498. Sort -5, -78, 2, d in decreasing order.\nAnswer: 2, d, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -24*u - j + 56, u - 5*u + 8 = 2*j + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 91?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -41, -92, -185, -332, -545?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d + 9. Let m be j(-2). Let u = m - -37. Let z = -38 + u. Solve -2*a + 0 = 5*s + 3, -3*s - 5 = z*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 92. Suppose -l*o + 226 = 94. Solve -8*x = -2*x - o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.9 - 22. Is -1\/4 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:18 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 2*r**2 + 4 - 4 + 6*r. What is the units digit of y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - w = -2*w + 1, t + 2*w = 2. Let j(u) = u**2 - u - 27. Let y be j(7). Suppose s = -t*s + y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**2 + 1200*m + 72000 = 0?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21012021220201 (base 3) in base 10?\nAnswer: -3824272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93292 - 4?\nAnswer: -93296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, t: 5, n: 8}. Give prob of picking 2 n and 2 m.\nAnswer: 196\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/2*54*(-141)\/19035.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-380)\/(-1330)*(-14)\/(-4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**3 - 23*g**3 - 5*g**3.\nAnswer: -54*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -1\/9, -5, -2.285?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*x + 26*x - 13*x - 3 + 3 + 2 - 2*x + (4 + 0 - 3)*(10*x + 8*x - 3*x).\nAnswer: 49*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y = -350. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2525 - -2521. What is the second biggest value in -0.9, d, -1\/4, 0.08?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 71. Solve -4*j + 4 + 0 = r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/7))**(25\/6)*(o*o*(o\/(o*o**11))\/o)\/o**(-15) assuming o is positive.\nAnswer: o**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 382 = 2*t, 3*f - 370 = 2*t + 2*t. What is the greatest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85032 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9999214, 19998428, 29997644, 39996862, 49996082, 59995304, 69994528?\n\"Answer: u**2 + 9999211*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4 = 0, 0 = -4*y + 659*w - 681*w + 34 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 20. Let s be m(-23). What is the second derivative of -5 - 2*g**3 + 5 + 18*g**s + 13*g wrt g?\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*800038\nAnswer: 880041.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8815*y**3 + 1168*y**2 - 4*y + 1 wrt y?\nAnswer: 52890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -9. Let m be 4\/6 + 300\/36. Let r = x - m. Solve d = -r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (-1 + sqrt(2299))) + 4 - sqrt(2299) - (sqrt(1900)*1 + 0))*-1.\nAnswer: -5 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/3 - 10*g**3\/3 - 8*g**2 + 11*g. Factor r(o).\nAnswer: -4*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose k = -11*m + 7*m + 31, 0 = -k + 5*m - 5. Suppose -k*f + 43 = -2. What is the smallest value in f, 5, i, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692797409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*u - u**3 - 103*u - 99*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u - 26 = y, y - 4*u = -32. Let o be (-18)\/y*80\/(-42). Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (84\/(-10))\/((-6)\/20). Let c = 56 - g. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2\/11, -3\/7 in descending order.\nAnswer: 22, -2\/11, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 157172285 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 1. Let d(m) = -2*m**3 - 2*m**2 + 7*m + 5. Let q(c) = -d(c) + 5*v(c). Suppose 0 = 5*h + 5, h + 3 = -5*o - 8. Calculate q(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -10*w + 17*w. Let t be 18\/(-135) - 4\/w. What is the nearest to -2 in -3, t, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/12 - 5*x**3\/3 + 33*x**2\/2 - 104*x. Calculate the least common multiple of 20 and b(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -4244433204?\nAnswer: -4244433222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3889?\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:09 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 196 = -93*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*r = 2*r - 13, -4*d = -3*r - 30. Let j = -8 + d. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 9*f - 11*f. Let x = f + 37. Suppose -9 = -3*n + 5*q + 8, 2*n - x = 5*q. Calculate the least common multiple of 4 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*3 + (-4998)\/(-119). Let r(a) = -198*a**2 + 45. Let t(w) = 9*w**2 - 2. Give s*t(o) + 2*r(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4077 by -103.\nAnswer: -4077\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 500 + -310. Is x a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 + 3*h + 9. Let v be y(4). Let z(w) = 2*w - v + 53. Let l(p) = -15*p**2. Calculate l(z(k)).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 13*y + 7*y + 52 = 0, 4*y - 41 + 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 2, -14, -26, -1 in descending order.\nAnswer: 2, -1, -14, -26, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((-1 + sqrt(2299))*-5 + 5 - (-1 + (sqrt(2299) + 2*sqrt(2299))*-4)) + -1)*4)**2.\nAnswer: 32032*sqrt(19) + 1805120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - (15 + -78 + 15)) + (-87 - (-3 + 4)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 38*g**2 - 76*g - 142. Let m be h(-36). Let w = 3 + -2. Suppose 4*k = -w - 19. Sort 0, k, m.\nAnswer: k, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3668\/336 + 11\/132. Solve 2*j - s = u, s - 7 = -4*j - 0*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:27 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 136.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9617 + 66401 = 1352*x for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/5, -0.5, -0.1, -37, 49 in descending order.\nAnswer: 49, 1, -0.1, -1\/5, -0.5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 13*h = -7019. Let r = 357988\/51 + h. Let q = 12\/17 - r. What is the nearest to q in -5, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 14*y**2 - 32*y + 13. Let r be p(-16). Suppose -r*t - 162 = -4*t. Let o be 1\/((t\/(-42))\/3). Solve o = 2*c + w, 0*w - 3*w - 34 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - k + 1. Let p(i) = -54*i**2 - 5*i + 1. Let r(v) = -3*m(v) + p(v). Find the second derivative of r(c) wrt c.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464533 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380666433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -493*g + 116*g + 377*g + 53*g**3 + 50*g**3.\nAnswer: 103*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = -3*k, 54 = z + 3*k. Calculate the highest common divisor of 27 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 = 11*g + 337 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 4*b + 22, -8*v + 163 - 175 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*f - 2436 = 0, -7*m - 5*f = -4*m + 1795. What is the common denominator of -39\/154 and 8 - m\/(-77) - 79\/(-14)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/33 - -3\/11. Let u = 0.25 - 0.2. Let g = u - -0.35. Which is the closest to p? (a) -2 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -264142.7 and -0.5.\nAnswer: 132071.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 219.77 + 0.23. Let o = g - 74. Let f = 146.00000081 - o. Round f to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g*q**2 + 14*g*s**2 - 16*g*s - 22*q**2*s**2 wrt s?\nAnswer: 28*g - 44*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -311893\/48 - -6498. Find the common denominator of c and -81\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/51)*r*r**(-7) assuming r is positive.\nAnswer: r**(-304\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 2*v - 1. Let k be p(2). Suppose 5*t + 363 = 128. Let q = -189\/4 - t. Which is the closest to k? (a) q (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/5554680 and 95\/4443744.\nAnswer: 22218720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/3 (b) -2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:36 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4234 is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 273\/130 + 135\/(-54) + (-416)\/10\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5) + 1629\/45. Calculate the highest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44143508 and 7.\nAnswer: -309004556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.3 + 13.5. Let l = 0.3 - 0.4. Let u = 0.6 + l. Sort 4, u, s in descending order.\nAnswer: 4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324366.\nAnswer: 2, 3, 7, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1609*v**2 + 1380*v**2 + 1112*v**2 in the form h + u*v**2 + a*v and give u.\nAnswer: 883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -22500*l**3 + l**2 + l - l**2 + 0*l - 2. Let y be o(2). Round y to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 94043.\nAnswer: -2\/94043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9541000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m - 24. Give r(35).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127964.\nAnswer: 2, 31991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, -35, 1, 4, -212, -3 in increasing order.\nAnswer: -212, -35, -9, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50557.\nAnswer: 13, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(0 + 5\/(-5)*133). Suppose 5*c - 870 = v. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {u: 2, r: 7, z: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6916, 6855, 6796, 6739, 6684, 6631, 6580?\nAnswer: 6531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10430.76 litres?\nAnswer: 10430760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168 - 18. Calculate the least common multiple of 3 and i.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5 + 11*l - 6 - 2.\nAnswer: 11*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/78 and 89\/64246?\nAnswer: 192738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 + 180. Suppose -43*c + i = -41*c. Solve 5*w - 6 = -c*f + w, -5*f + 4*w + 29 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/5)*r*r)**(-3\/4))**(20\/13)*(r*((r*(r*r*r*r**(2\/3)*r)\/r)\/r)\/r*r)**18*r**(-4)*r\/(r\/(r*r**2*r*r)*r) assuming r is positive.\nAnswer: r**(1071\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -21*f + 1. Give j(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 3*n**2 + 0*n**2)*(-111 + 79 + 6*n + 228 + 468).\nAnswer: -12*n**3 - 1328*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + d = -7*d - 98 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-72)\/252 + 88\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10*p - 261. Let q be y(28). Solve q*l - 95 + 0 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11755*k - 89693 wrt k.\nAnswer: -11755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16986*t. Let p(x) = 78*x + 1. Calculate p(n(r)).\nAnswer: -1324908*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlet when four letters picked without replacement from {l: 3, t: 5, e: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqvqqkqpp. Give prob of sequence pp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.58 + -3.5. Let f = s - 0.08. Is f < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*j + 547 - 194 - 220 - 222 to q + s*j and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 58*g - 1164. Let o be y(20). Let m(n) = 2*n**2 + 1. Let u be m(2). Put 3, o, u in decreasing order.\nAnswer: u, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-14))\/(7\/(-28)). Solve 2*o + j = -j + s, -j + 3 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56762.\nAnswer: 2, 101, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13599.\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0 + 1\/24*x**4 - 1\/40*x**5 + 0*x**3 + 1\/140*x**7 + 8*x**2 + 0*x - 1\/120*x**6. Factor d(s).\nAnswer: s*(s - 1)*(s + 1)*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109bbb (base 12) in base 9?\nAnswer: -445028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j**4 - 52*j + 27*j - j**2 + 39*j + 2*j**4 - 1 to the form d*j**2 + g*j**3 + w*j + h + s*j**4 and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 20*c + 15*c + 14 = 0, -5*m = -c - 8. Put -5, m, 90 in increasing order.\nAnswer: -5, m, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45063?\nAnswer: 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -415.89 times -0.4?\nAnswer: 166.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from fffhfifiihhvh.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4501*z = -4484*z - 4250. Sort z, -7, 5 in ascending order.\nAnswer: -7, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-2 + 1 - -13) + -12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-24)\/30*-10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 362 and 22089.551.\nAnswer: 22451.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from byberbbyrrtb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2*g + 83 - 295, 0 = 5*q + 2*g - 502. What is the greatest common divisor of 374 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(272) + sqrt(272))*1 + -3)**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28361238.\nAnswer: 2, 3, 131, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 9*d**2 - 1. Let h be a(-9). Put -5, 0, h, 1 in increasing order.\nAnswer: -5, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*s - 27. Let v be (-2)\/(-2 + 24\/s). Let b(n) = n + 21. Let o be b(-19). Solve -2*j - 3*f = -9, v*f - 10 = -7*j + o*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 - 5*q + 5. Let w be j(4). Let f(x) = x + 1. Let b(i) = -2*i - 1. Let h(p) = -2*b(p) - 3*f(p). Let g be h(w). Which is bigger: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 + 503903*j**2\/5 - 503902*j\/5 = 0. Calculate j.\nAnswer: 0, 1, 503902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + ((-5)\/(-5) - (-2 + 6)). Let t(h) = -91*h**2 - 58. Let l(n) = -61*n**2 - 39. Let b(g) = q*l(g) - 5*t(g). Find the first derivative of b(s) wrt s.\nAnswer: 56*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let f(s) = 4485409*s - 21. Determine g(f(r)).\nAnswer: -4485409*r + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -18*u**2 - u - 1. Let s be h(-1). Let m = 18 - s. Let o be 38\/9 + (-8)\/m. Solve 5*b + o = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 6.9. Let h = 0.47 + -0.07. Which is the third smallest value? (a) h (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pprppprpprpp. Give prob of sequence prpr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285360640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -645?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(-2*d**2 + 2*d**2 - d**3) + 3*d**3 + 2*d**3 - 4*d**3 + 9*d**3 - 3*d**3 + 2*d**3)*(-3 + 3 + 2*d).\nAnswer: 22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1450 - 3*p + 7*p + 728 + 720 + p**2. Suppose k + 0*w = -2*w + 7, -3*k = -3*w + 24. Calculate d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010001 - 101111?\nAnswer: 111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -29*y**4\/3 + 10*y**3 + 173*y**2\/3 - 2*y = 0. What is y?\nAnswer: -2, 0, 1\/29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -576\/2755 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4 (c) -156\/11 (d) -2\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 37.385.\nAnswer: -74.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1231704 and 402.\nAnswer: 82524168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*p - 8, -j - 4*p + 12 = -p. Factor -4\/3 + 7\/3*k**2 + j*k - k**3.\nAnswer: -(k - 2)*(k - 1)*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccckkccczccznczczck. What is prob of sequence kkz?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2092 - 12*z + 2092)*(-5*z + 2*z + z) + (-2 - 2*z**2 + 2)*(4 - 3 + 1) to the form r*z + x*z**2 + i and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + 10, 3*q = 5*k - 230862. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-18)\/6)\/(-33)*6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5505084*t - 34183640 with respect to t.\nAnswer: -5505084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21012 + 2010110201?\nAnswer: 2010012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/16 - 1\/4. Let w = k + -7. Which is the third biggest value? (a) w (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3520 divided by 110\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 220 = -9*j. Suppose -5*f = -11 - 14. Suppose -n = -4*t + 64, -t + f*n = 2*n - 27. What is the remainder when j is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12321 - 12326. What is the fourth biggest value in 4, -3\/4, g, -3\/8, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-22))\/(5\/50). Let z be (6\/(-8) - 1)*(-1 - m). Let a(d) = d**2 + 8*d + 8. Give a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42071163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -8 in decreasing order.\nAnswer: 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/11 - 12*i**2\/11 - 16*i\/11.\nAnswer: -2*i*(i + 2)*(i + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 115 = -18*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 6)\/(-2) - (-40 - -40). Let o(f) = -f**3 + 6*f**2 - 5*f - 3. Determine o(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 564 - -3?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = 4*q. Suppose 29*p - p = 11200. Suppose q*h = 9*h - p. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 117 = -7*c. Suppose -c*w + 33*w + 18 = 0. Solve 6 = -w*r - 3*g, 2*r + 2*g = -r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by -653801?\nAnswer: 103\/653801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 1 - (1 - -2). Let t be (2\/6)\/(f\/9). Suppose 991*u - 43 = 973*u + 11. Put u, t, 32 in descending order.\nAnswer: 32, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(3\/5)\/q*q))\/q*q*q)\/q*q*q\/((q*q**(-1\/7)*q)\/q)*(q\/q**(-1\/6))\/q**(-1\/5))\/((q*q**(-1\/3)*q)**(-45))**(-2\/105) assuming q is positive.\nAnswer: q**(311\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(54\/(-2835)*-21).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112 (base 3) in base 11?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -20\/9, -9\/5, 0.5, -4?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3572 + 3567. What is the closest to -1\/2 in -3\/4, n, 0.4, 26?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16447078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27103, -30355, -33607, -36859, -40111?\n\"Answer: -3252*x - 23851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 509 - 336. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 6, -40 in ascending order.\nAnswer: -74, -40, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 8174*s + 8170*s - 16, 2*s - 7 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + f - 2*f)*(2 - 3 + 0)*(6 + 0 - 5) - 4 - f + 4 to the form i + j*f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 1 (c) -0.1 (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + 0.5. Let t = -305.81 - -306. What is the biggest value in 0.1, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 19*x + 21. Let g be -6 - ((5 - 2) + -4). Let p(d) = -d**2 + 9*d - 10. Let z(k) = g*p(k) - 2*y(k). Calculate z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-473)\/(-44) - 12)\/((-2)\/(-99504)*-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80 - (-174561)\/2232) + 2*2\/32. Which is the closest to 0.1? (a) 1\/5 (b) 0.4 (c) f (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 2405.\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*(69\/(-23))\/((-6)\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08342 + -0.00707. Round n to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(13\/3)*t*t*t*t*t\/((t*t**14)\/t))**(-10\/3) assuming t is positive.\nAnswer: t**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or 55333?\nAnswer: 55333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505?\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -5. Let c(v) = -v**3 + 5*v**2 + 8*v - 13. Let b be c(d). Let a be 1\/(-6) + b\/(-6). Calculate the greatest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543 = 3*r + 104*p - 3920, -4*r - 36*p + 117 = -33*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d**2 - 6*d + 1. Does 38 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9)**(-36)*a**21\/a**25 assuming a is positive.\nAnswer: a**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -123*q**3 + 2*q**2 + 3*q + 2. Let t(g) = 4*g + 1. Let b be t(2). Let m = 8 - b. Let w be j(m). Round w to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + 3609 + -3590\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/23, -697, -3.1, -4\/5, -37, 3?\nAnswer: -697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 13 + 29)*(6*u - u**4 + 3*u - 4*u) in the form j*u**2 + s + p*u**3 + b*u + v*u**4 and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (2 - 84\/16). What is the third biggest value in -15, b, 1\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 103, -601.7?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/(-70) - (2\/(-4))\/1. Suppose 0*i + 4*u + 19 = -5*i, 3*u + 6 = -i. Let a = -3 - i. Does c = a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (253\/2)\/((-5)\/10). Let a = -173 - g. Suppose 5*c = 2*p + p + 68, -4*c = 4*p - a. Calculate the highest common divisor of 128 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305676281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -17*n**5\/10 - 6*n**4 - 4*n**3\/3 - 9*n + 70. Let y(b) be the first derivative of a(b). What is g in y(g) = 0?\nAnswer: -2, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2 + 2. Solve b = -r + 3 - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163631213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*w = -112, 24648*w + 119 = -5*s + 24644*w for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/6, 3, 0.8, -1328930 in decreasing order.\nAnswer: 3, 0.8, -1\/6, -4, -1328930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -704 + 703.9039. Let q = n - 0.904. Let z = q - -1. What is z rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -7*y**3\/6 + y**2 + y. Let g(a) = -2*a**3 + 14*a**2 - 49*a + 224. Let s be g(6). Give m(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**9\/1512 - y**6\/360 + y**3\/6 + 3*y**2. Let v(h) be the first derivative of i(h). Find the third derivative of v(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -415144?\nAnswer: -415202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 12*p**2 - 9*p - 4. Suppose -18 = 2*k - 40. Is q(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -420 + 3?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74979?\nAnswer: 3, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38.2 in 0.5, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a factor of 3832783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + 74?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from jjjasjjajjjjjj.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4499 + -4404. Sort -4, b, 1 in decreasing order.\nAnswer: b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*z + 772, -5*i + 1226 = -4*z - 721. Let h = i - 396. Let c = 39 - 6. Put 2, h, c in descending order.\nAnswer: c, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4 = -0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 254591857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - 2. Let s = 139 + -19. Let b = s - 120. What is the closest to b in -1\/11, -0.3, m?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 93, 376, 863, 1566, 2497, 3668?\n\"Answer: 2*z**3 + 90*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 6 = 3*r. Let l(f) be the third derivative of -f**5\/60 - 3*f**4\/8 + 3*f**3\/2 - f**2. What are the prime factors of l(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 161*v - 830. Determine s(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 69*n - 27*n + 21*n. Let j be w(1). Suppose -5*t + 173 = j. What is the lowest common multiple of 14 and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.138438 nanometers to meters.\nAnswer: 0.000000008138438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 307, 442, 577?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*s + 7860 = -220*s - 74*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 33*z - 48*z + 33*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -37. Let v = x + -67. Suppose 4*t + 5*k = -14 - 9, -3 = k. What is the closest to -20 in t, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 21\/(-6) - (-33)\/(-2). Let m be (9\/(-27) + r\/(-18))*4. Solve -7*t - 15 = -m*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/4 - 333*u**2\/2 - 4741*u\/4 + 10095\/2 = 0.\nAnswer: -10, 3, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(304) - (sqrt(304) + -1)) + sqrt(304))*3 + sqrt(304) - (sqrt(304)*1 + 4 + sqrt(304) - sqrt(304))).\nAnswer: -1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1046 and -0.44301.\nAnswer: 1045.55699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 + d**2 + 6*d - 6. Is 17 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035972899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*(-680)\/(-24). Let z be (5\/4)\/((-85)\/(-102))*-28. Is k bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vawayvaayyra. Give prob of picking 2 a.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 104. Let x be (m\/(-4))\/(7\/(-14)). Let v(b) = 102*b + 605. Let f be v(-5). Calculate the highest common divisor of f and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z + 88. Let v be o(-21). Suppose -4*s = 4*y - 1216, 6*s - 308 = -y + v*s. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24639421\/23 or 1071279?\nAnswer: 1071279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -811 + 799 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -5.84726, -2\/7, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p**4 + p**3 + 9*p**2 - p - 3. Let y(a) = -38*a**4 + a**3 + 17*a**2 - a - 7. Let f be (-2)\/3 + 1\/(24\/88). Let m(u) = f*y(u) - 7*v(u). Factor m(t).\nAnswer: 4*t*(t - 1)*(t + 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 7*x - 9. Let u be q(-6). Let d(l) be the first derivative of -l**2\/2 - 2. What is the units digit of d(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1633 times -2?\nAnswer: -2.3266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 0*y**3 - 3*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353764 is divided by 3340?\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151653, -303317, -454981, -606645?\nAnswer: -758309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-106)\/(-10) + (-18)\/30. Suppose 41*z + h = 36*z. Put z, 2, 0, 5 in descending order.\nAnswer: 5, 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -f - 16, -3*h = 5*f + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-21) - 17\/(-3). What is the second derivative of -7*z**4 + 9*z**4 - y*z**4 - 4*z wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.1 + 11.3. Let o = -8 - -4. Let d be 10\/(-22)*o\/10. Which is the third biggest value? (a) v (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 1 = -7*x. Let q be 14 - x - (-1 + 4). Solve 0 = -4*y + 2*y - q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4 - 551008*a**3 + 18975613504*a**2 = 0.\nAnswer: 0, 68876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-25\/3)*a**5\/a**(3\/5) assuming a is positive.\nAnswer: a**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -293707 from 4.\nAnswer: 293711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 + 11)*(-1 + 4 + 0)*(3*x + 2 - 2) to the form l + q*x and give q.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Let j(m) = -m + 7. List the prime factors of j(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 36 + 164. Let z be s\/14 - (-24)\/(-42) - 2487. Let a be 2 + 15\/(-6) + z\/(-8). Round a to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*d = -0*d - 123, -5*n = 4*d - 237. Let f = -2 - -8. Let x(i) = 2*i**2 - 2*i - 14. Let a be x(f). Is a <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*y + 12 = 0, -3*y + 10 = -3*k - 2*y. Let b = 0.3 + 0.1. Let j be -16 + 6 + 832\/84. What is the smallest value in b, k, j, 0.12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxy when three letters picked without replacement from {y: 3, e: 1, x: 1, l: 1, n: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 63 = 2*g. Calculate the highest common divisor of 81 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:19 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 2\/1621, -2\/429?\nAnswer: -2\/429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3992\/(-73852))\/(6\/(-1887))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 52. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.2, 6\/641 in descending order.\nAnswer: 1.2, 6\/641, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2 + 21*p - 38 = 0.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 + 4. Let r be p(-2). Suppose 10*x - 144 = x. Calculate the greatest common factor of r and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 969 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o + 1. Calculate j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*s**2 - 6*s**2 - 3 + 3 in the form z*s + i*s**2 + g and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, r: 7}. Give prob of picking 3 r and 1 y.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + 1264\/(-72)*3. Are -53 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*r**3 + 37*r**3 + 267*r**3.\nAnswer: 449*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 82791.47 micrometers?\nAnswer: 0.08279147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7600784 less than 1?\nAnswer: 7600785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/43, 10, 0.1154?\nAnswer: 0.1154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92\/24931 or 0?\nAnswer: -92\/24931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3868800 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 8 = 5*r - 3*d, -r - 3*d + 1 = 0. Let m(s) = 3*s**2 + s. Let x(q) = 10*q**2 + 3*q + 1. Give r*x(y) + 7*m(y).\nAnswer: y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57 + -300?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49799 and 1889.\nAnswer: 51688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5424984?\nAnswer: 2, 3, 75347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**28*q*q*q**9*q)\/(q**(-2\/85)\/(q\/(q**(2\/21)\/q)*q)) assuming q is positive.\nAnswer: q**(76627\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**8\/56 - 11*g**7\/42 + 5*g**4\/4 + 84*g. Find the third derivative of u(x) wrt x.\nAnswer: 120*x**3 - 660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4*c**2 + 7*c - 6. Let f be l(5). List the prime factors of -1 - 79\/(-1) - f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150749?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let k = 22 + n. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 186*l**2 - 1228*l + 4682. Determine m(-179).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*y + 2 + 2*y**2 - 6*y**2 + 13791*y - 1942*y + y**2.\nAnswer: -3*y**2 + 11529*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 19 = 4*y, r = -0*y - 2*y - 5. Suppose 5*x - 2*x - 9 = -r*z, 5*x = 3*z + 55. Solve a = 5*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = r - 15. What is the remainder when ((-168)\/9)\/(r\/(-21)) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*d**3*n**2*u - 285*d**3*u + 2*d**2*n**2*u + 3*d**2*n**2 - 8*d**2*n*u + 20*d*n wrt d?\nAnswer: 114*n**2*u - 1710*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -70. What is the remainder when 62 is divided by (-22)\/(-2) + 0 + 36\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (-10 + (20 - -64)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4 + x - 5 - x - x. Let u(f) = f**2 + 6*f + 5. Give -6*h(c) - u(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 7*a - 1. Let v be q(6). Let z(k) = -k**2 - 20*k - v - k**2 + 2*k**2 + k**2. Let g be z(9). What is g rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 150 = 15*l, 2*l + 9076 = -3*u + 8990 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 2*u - 1. Suppose 6*w + 4 = 16. Suppose -12 - 13 = 5*o, -4*o = w*k + 22. Calculate x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 - i + 42. Let x(l) = l**2 - 21. Let a(o) = 2*j(o) + 5*x(o). Let p be a(-4). Solve 4 = -p*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 0*k)*(4*k + k - 4*k)*(2*k - k**2 - 2*k + (-k + 2*k + 0*k)*(3*k + 3*k - 2*k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189336329?\nAnswer: 7, 13, 137, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -419868669+77\nAnswer: -419868592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1.64, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {t: 3, h: 5, j: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -54, -58, -54, -36, 2, 66?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-90) + (-611408)\/6180?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723 = -5*y - 73. Let c = y + -50. Let x = c + -54. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x + 23 - 95 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79024157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88758, 177507, 266262, 355023?\nAnswer: 443790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -410*d**2 + 2*d. Let c(t) = -t**2 + 6*t. Let u(h) = -h**2 + 8*h. Let o(n) = -4*c(n) + 3*u(n). Calculate r(o(b)).\nAnswer: -410*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/4 + x**4\/6 + 2*x**3\/3 + x**2 + 212*x. Let m(f) = -f**2 - f - 1. Determine i(j) + 2*m(j).\nAnswer: 5*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -390, -1700, -3866, -6882, -10742, -15440, -20970?\n\"Answer: k**3 - 434*k**2 - 15*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3084 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6602.9999963908 + -6603. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 10464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 28704\nAnswer: -5740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111820 by -4.\nAnswer: -27955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.03 and 19.\nAnswer: -19.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 377*z + 20 + 377*z - 20.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2768*p**2 + 24158*p. Let o(z) = 5*z**2. Calculate l(o(c)).\nAnswer: -69200*c**4 + 120790*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 11*y**2 - 16*y - 23. Calculate v(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 685611 and 6?\nAnswer: 1371222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 124, -846, -2450, -4676, -7512, -10946, -14966, -19560?\n\"Answer: 2*t**3 - 329*t**2 + 3*t + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13512 + 9009. Let s = y + 10426. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*q = 1398 - 654. Let m = 0.04 - -0.96. What is the second biggest value in -4\/7, 5, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2. Let d(p) be the second derivative of p**6\/90 + p**3 - 5*p. Let z(c) be the second derivative of d(c). Calculate j(z(k)).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1)*(0 - 1 - 1) + 3*j + j - 3*j + 2*j - j - 2*j - 6*j + 2*j + 2*j + (-j + 2*j + 0*j)*(-5 + 2 + 0).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 119 + (-1)\/(3*(-4)\/(-12)). Suppose -h*a = -123*a - 75500015. Let w be (a - -1) + 4 + -2. What is w rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649528 divided by -912?\nAnswer: 81191\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 3*t - 5 = 0, 5 = t. Let i(w) = w - 3. Calculate i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 46. Let r = m - -43. Let i = r - 8. Calculate the greatest common factor of 55 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-18) + (-60)\/18 + 1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -21*z**2. Let d(r) be the third derivative of -5*r**4\/3 + r**3\/6 - 1491*r**2. Give d(t(g)).\nAnswer: 840*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3*x + 252. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 360901610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 333210 - -2303?\nAnswer: 335513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 5*h - 6. Let m(t) = -4*t**2 - 6*t + 3*t**2 - 7 + 0*t**2. Suppose 2*f - 9 = -f. Suppose -f*u - 2*u + 35 = 0. Calculate u*k(a) - 6*m(a).\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*w**5 + 460*w**4 + 4768*w**3 - 22036*w**2 + 26328*w - 9504 = 0. What is w?\nAnswer: -11, 3\/4, 1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 30. Let r be j(-8). Calculate the remainder when (-2)\/(r\/(-33))*(-8)\/6 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*b**2 + 846*b**2 - 438*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -649, -854?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -4 + -6*sqrt(51)\/sqrt(3)*-3 + 2 + sqrt(17) + 1*sqrt(17) + sqrt(2448)*2).\nAnswer: -88*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 130000 = 3*s. Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 3*y**2 + 37*y + 6*y**2 - y**3 - 6 - 28*y. Let s be (2\/5)\/(7\/490). Let g = s - 21. Determine t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 1796 + 140. Calculate the greatest common factor of h and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**4 - q + 6340*q**3 - 87 - 3167*q**3 - 3172*q**3 - 3*q**2 to d*q**3 + l*q**4 + u*q + o + g*q**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5116647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(5 - 6)\/(-1 - -2). Suppose -w = -o*w + 2*u - 112, 4*w + u - 434 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(28\/3))**(-3\/2) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 3*f + 3*f**3 + 9\/2*f**2 + 7 + 3\/4*f**4. Factor b(w).\nAnswer: 3*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 20*q + 3. Let y(f) = -73*f - 11. Let w(g) = 22*x(g) + 6*y(g). Let s(o) = -76*o**2 - 314*o**2 - 3*o**2 - 55*o**2. Calculate w(s(m)).\nAnswer: -896*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 113?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1799.5 times 172\nAnswer: -309514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j - 8*j - 10*j + 8*j to the form q*j + m and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775361 is divided by 391.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11399628 divided by -1203?\nAnswer: -9476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13011*a**3 - 17649*a**2?\nAnswer: -78066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 1:46 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbpfd. Give prob of sequence bwd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*h - 16*h + 39*h**3)*(77*h - 331*h - 82*h + (2*h + 0 + 0)*(2 - 3 + 3)).\nAnswer: -12948*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/129 and 99640\/945828 - 1\/13.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(154))\/sqrt(11))\/sqrt(7) - (sqrt(6)\/(-2*sqrt(3)) + -1)) + 5)*4.\nAnswer: -2*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -18*l + 1. Let r be k(-1). Suppose -r*i + 16*i + 144 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b - 25 + 17 + 18*b. Let l be z(7). Suppose -2*f - 119 = -3*h + 5, 2*h - 5*f = l. Calculate the greatest common factor of h and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(1\/(-4))*(-437)\/((-159942)\/(-9333))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 68 + z**3 - 41 + z**2 + 387*z - 27 as f + l*z**2 + n*z**3 + h*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 12, 15, 18, 21, 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -19*n + 11*n. Suppose n*c = -4, 4*c - 2*c - 126 = -4*u. Calculate the greatest common divisor of 96 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 at most as big as 6816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539551744 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -673 (b) -553 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2542 divided by 2.\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(-1 + 0 + 3) + (0 + 3 - 1)*(-4 - 1 + 1))*(11 - 21*f - 11) + (4*f - 4*f + f)*(1 - 1 + 2) + 0*f + 0*f - f.\nAnswer: 253*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2986774 not equal to -2986774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) 0.24 (c) -0.04 (d) -4.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -453, 653, -4, -5, 4, 3 in descending order.\nAnswer: 653, 4, 3, -4, -5, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 14. Let r(t) = -t - 9. Let b be r(o). Let c = -1525\/3 + 508. Put c, -1, b in ascending order.\nAnswer: b, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*b + 1, n + 29*b - 7 = 27*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**2\/l)*l*((((l*(l\/(l*l**18))\/l*l)\/l)\/l)\/l)\/l*l**(1\/14)\/(l*(l*l**11)\/l*l))**(2\/5) assuming l is positive.\nAnswer: l**(-461\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 13. Is 1\/8 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 608*b**2 + 1622*b**2 + 2.\nAnswer: 1014*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3) - ((8 - 5) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20504 * -0.03.\nAnswer: 615.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/5)\/(4\/(-20)). Is 4*(-6)\/h + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/8, 0, 19, 41\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092453 and 7953.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 20. What is the third derivative of 17*j**2 + 22*j**b + 26*j**3 - 26*j**3 wrt j?\nAnswer: 528*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 5*z - z)*(3 - 6 + 1) - 3*z + 5*z - 3*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*21\/7*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 243 in -1\/78, 238, -5?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.86 + 11.86. Let o be (-27)\/(-33) - (0 + 1). Let j = 0.1 - 0.2. What is the closest to j in o, -5, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203898?\nAnswer: 2, 3, 17, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -587*w**3. Is f(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -29, 32389, 3, -1 in descending order.\nAnswer: 32389, 3, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*l - a, 4*a + 2 = -4*l + 10. Let n be 3\/9 + l*2\/3. What is the greatest common factor of 5 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*g + 14*g**2 - 724*g + 435*g.\nAnswer: 14*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34155*i**6*s - 6174*i**3*s + 14*i**2*s - 173921*i*s + i wrt i?\nAnswer: -4098600*i**3*s - 37044*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s + 5*m + 25 = 0, -2*s + 17 = 3*m. Let x(v) = v**3 - 5*v**2 + 5*v + 1. Let c be x(4). Solve -4*p - 5*w + 10 = -9, 5*p + s = c*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.087291 days to minutes.\nAnswer: 4445.69904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -14 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 209, 308, 437, 590, 761?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 1245 - 2381 = 0. What is the remainder when t is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33830, 36036, 42032, 53714, 72978, 101720, 141836, 195222?\nAnswer: 263774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -1) + -63 + 64?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2\/15))\/x*x**(2\/11)\/x)\/(x**19\/((x\/x**22)\/x)) assuming x is positive.\nAnswer: x**(-6757\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -44, 5.\nAnswer: -44, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 4980, 17289, 41318, 80973, 140160, 222785?\nAnswer: 332754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a*i*o*w + a*i + a*w + 3*i*o + 226*o wrt i?\nAnswer: -4*a*o*w + a + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25597964, -51195939, -76793914, -102391889, -127989864?\nAnswer: -153587839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -31.9, 0.3, -5, -156\/11, -6, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, w: 5}. Give prob of picking 3 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((54\/171)\/(6256\/874))\/((-6)\/(-64)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g**(-2))\/(g*g*g*g\/g**2*g\/((g*g**(-1\/5)*g)\/g)))\/((g**5)**(-43))**(1\/30) assuming g is positive.\nAnswer: g**(89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-7 + -1 + -60 + 48).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhfc when four letters picked without replacement from {l: 5, c: 5, f: 7, h: 2}.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5\/3 - 2939*g**4\/9 + 3163*g**3\/9 + 239*g**2 - 3148*g\/9 + 788\/9 = 0. What is g?\nAnswer: -197, -1, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603 take away 7927?\nAnswer: -10530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -887.0721 - -0.0721. Let j = r - -1646. Let g = j + -755.49. What is g rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 105*s = -109*s + 112, 0 = q + 3*s - 51. Is (9\/(-21) - q\/42) + 14253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1553 - 766. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10229 + 10234. Solve -7*g = 4*v + 48, -4 = 5*v - 4*g + q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3579 and 906?\nAnswer: 1080858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2123*d = -2186*d + 4284. Sort -1, d, 9.\nAnswer: -1, 9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g**2 + 4*g**4 + 0*g**2 + 1414*g**5 + 2*g**3 - 1412*g**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19105 = 982*i + 832*i - 626*i - 6037 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-24))\/((-1)\/(-42))*-2. Let w(a) = -a**3 - 16*a**2 - 23*a - 31. Is w(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000 (base 2) to base 11\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 4 + 4 + (-1 + 0 + 5)*(2*v**3 + 0*v**3 + 2*v**3).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let z(d) be the third derivative of d**4\/6 - d**3\/6 - 2*d**2. What are the prime factors of z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 - 113. Let i = 17\/133 + 3\/19. Which is the nearest to i? (a) -3\/7 (b) 1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**4 + 10670*l**3 + 281075*l**2 - 594140*l + 302400 = 0.\nAnswer: -28, 1, 2160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: b\"What is the hth term of 4995, 4854, 4619, 4296, 3891, 3410, 2859, 2244?\n\"Answer: h**3 - 53*h**2 + 11*h + 5036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-12)\/(-48)*4\/(-2)). Let n(z) = z + z - z**2 + 5 - z**3 + 0*z**3 - 3*z. Let q be n(0). Calculate the highest common factor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 8*q**2 + 7*q + 3. Let h(t) = t - 2. Suppose 2*f = -3*f - 25. Let g be h(f). What is the units digit of b(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 316*s**2 - 12844*s + 36. Calculate p(-48).\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -104334954.\nAnswer: 5\/104334954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-286)\/(-91))*(9\/3 + -6). Which is the nearest to 32? (a) 4 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*p - 32*p + 195055. Let h = p + 55402. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3))**2 + -2 + -1*sqrt(147).\nAnswer: -5*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -574.75 + 731.4. Let z = -164 + b. Let y = z + 10.2. Round y to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(2*1\/2). Let f = -20 + 32. Calculate the greatest common divisor of y and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 9) in base 7?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t - 4*t + 17 + 14*t**5 - 17 + t - 71*t**2 wrt t?\nAnswer: 840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782000 rounded to the nearest ten thousand?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - 3*d**2 + d**2 + (2 + d - 2)*(-5*d + 2*d + 0*d) - 6*d**2 - 6*d**2 + 13*d**2 + (11 - 11 + 2*d)*(-d + 0 + 0) to t*d + k + y*d**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2221*j**4*x**3 + 522*j**4*x - 3*j**3 - 115269*j**2*x**3 - 4*x**3 wrt j?\nAnswer: -53304*j*x**3 + 12528*j*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 375*b**3*r**4 + 5*b**3 + 66*b*r**6 + 6490*b*r**2 wrt r?\nAnswer: 9000*b**3*r + 7920*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 9:29 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(60)\/(sqrt(108)*3))**2.\nAnswer: -157\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**3\/6 + 23*k + 44. Suppose -3*h = 2*h + 5. Let i(w) = 8*w + 1. Determine h*i(t) + 3*p(t).\nAnswer: -5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:44 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/370 and 103\/222.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3448 - 3445. Let h be -2*1*(-12)\/3. Solve -h - 7 = r*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69736 is divided by 586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 33 = -5*s, -s - 39 = 4*s - 3*u. Let a(p) be the first derivative of p**3\/3 + 2*p**2 - p + 4. Give a(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 13. Let p be g(-9). Suppose 3*t - 2*q + 273 = 25, p*t + q = -422. Let u = t + 837. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -44.0000675. Round x to six decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001101 + 111?\nAnswer: 1000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 - -5 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25)\/(-40)*(172\/4 - 3) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*-2*-32)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q - 8. Let t = -2 + q. Suppose -4 + t = -4*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17319 or 3?\nAnswer: -17319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u - 136 = -24*u. Let d(k) = k**2 + 6*k - 10. Let w be d(-7). Put u, 31, w in decreasing order.\nAnswer: 31, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219 or 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j + 144 = 53*j. Suppose 0 = j*z - 372 - 21196. List the prime factors of z.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3*(3 + -6). Let i(p) = -6*p + 5. Let o(w) = -7*w + 6. Suppose 0*n + n - 5*b + 14 = 0, 10 = 5*b. Calculate g*i(r) + n*o(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*y + 105 = -5*s - 435*y, -4*s + 38*y = 2268 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5299 - 544 = 0. Suppose 0 = -7*x + 2*x - w. What is x rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*q**2*r**3*s + 5*q**2*r**2 - 2*q**2*r*s + 11*q*r + 114*r**3*s + r**2*s + 415*r**2 - s wrt r?\nAnswer: 834*q**2*s + 684*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j**4 - 2*j**4 + 5*j**4 + j + 3*j**4 + 22*j**3 to the form u*j**3 + m*j**2 + t + p*j**4 + v*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**3 + 23*y**2 + 10*y - 10. Let j(v) = -6*v**3 - 23*v**2 - 9*v + 10. Let m(r) = 6*j(r) + 5*u(r). What is the tens digit of m(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 9*f + 3. Let o = -20 + 18. Let i be o*((-18)\/4)\/(-1) + -3. Let a be 1 + i\/(-2) + -1. Determine q(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - -8 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -76, 2\/13, -0.1, 2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39.69 + -0.07\nAnswer: -39.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 10 - (3 - 4)) + 2 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 + (-3 - 0). Sort w, -2, -4 in increasing order.\nAnswer: w, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 3*s**4\/4 + 24*s**3 + 69*s**2\/2 - 3720. Find a such that c(a) = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**2 + 408. Let k(u) = 15*u**2. Calculate w(k(f)).\nAnswer: -1350*f**4 + 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28233, -28572, -29489, -31272, -34209, -38588, -44697?\nAnswer: -52824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -52?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4454 and 75\/374.\nAnswer: 48994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*r + 721871*a**2*r**2 - 5*a*r**2 - 19*a*r - a + 9*r**2 - 2 wrt a.\nAnswer: -12*a*r + 1443742*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0082727 to four decimal places.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Let h(b) = 4*b**3 - 3*b + 3. Let r(y) = 7*y**3 - 7*y - 3. Let k(j) = 10*j**3 - 10*j - 4. Let s(f) = -5*k(f) + 7*r(f). Give a*s(l) + h(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 3. What is the units digit of f(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/o**(14\/11))\/o)\/(o\/(o*o**3)))**19)**(-50) assuming o is positive.\nAnswer: o**(-28500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + -7 - (-6 - (10 - 19 - (-5 + 1))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2176 and 25687.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277.9 - 291.9. Which is the nearest to 1? (a) 4\/3 (b) o (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(45\/50)*52\/(-130))\/(-21)?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*-1*(((sqrt(76) - (-2 + sqrt(76) + sqrt(76)))*3 - sqrt(76)) + (sqrt(76)*-2*-6 - sqrt(76))))**2 + 5.\nAnswer: 168*sqrt(19) + 3763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 + -3354?\nAnswer: -3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405032*1.\nAnswer: -405032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/2, 2\/7, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 135660*c**2 + 2713200*c + 1. What is i(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**2 + 2202*f - 3031?\nAnswer: 4*f + 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86396745593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a day in hours?\nAnswer: 438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 64515.6 times -37\nAnswer: -2387077.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 1 + 1\/3*j**3 + j**2 - j. Let h(w) be the first derivative of x(w). What is the derivative of h(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37789*w + 313*w - 171901*w.\nAnswer: -209377*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/12*6\/2. Let k(y) = -y**3 - 2*y**2 + 4*y + 5. Let c be k(p). Suppose 9 = 3*z - c. 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: -24559 * -28\nAnswer: 687652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-5 + 7 - 7*k - 3).\nAnswer: -14*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 4\/(-192)*20*4*-9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (130 - 38)\/(((-6)\/54)\/((-1)\/12)). Solve -j + 70 = m*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1883899 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/154 and 2\/(-7) + (-130)\/(-105).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*i**4 - 49123*i**3 - 182734865?\nAnswer: 84*i**3 - 147369*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 9498.\nAnswer: 18996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -695 + 723 = -4*r. Let k be (-13)\/(156\/36) - (0 + r). Solve -v = 2*i - 3*v + k, 4*v = -4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 46*z**2 + z + 21. Let s = 177 - 181. Is v(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5133150?\nAnswer: -5133150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + a - 3*a)*(-11 + 3247*a + 9 - 3968*a + (3*a - a + 0*a)*(-6 + 1 + 3) - 4*a + 5*a - 3*a) to t*a**2 + v + z*a and give t.\nAnswer: -1454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 9*d - 15. Let n be p(-6). Suppose 3*q + 2*h - 21 - 67 = 0, n*q + 4*h = 86. Calculate the remainder when 82 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 1704655 = 3*u - 1704712, 0 = -4*u + 5*p - 177 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*84\/(-315)*(-3)\/2. Solve -5*t - 4*a + 1 = 6, n = -2*t - 2*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n**3 - 2*n + 1. Suppose 0 = -0*d + 8*d - 8. What is f(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20504299 to the power of 1\/2, to the nearest integer?\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 59*h**3 - 3*h**2 - 69*h - 69. Give x(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -1\/4*b**4 - 59 + 4\/3*b**3 + 1\/2*b**2 - 4*b. Determine p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 15*f**2 - 108*f**3 - 6*f**2.\nAnswer: -108*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11261 (base 16) to base 10\nAnswer: -70241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + r**2 + 2*r + 2. Determine o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14160 is divided by 154?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = i - 4, -f = 759*i - 757*i + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeyyeeyeeeyyyyeeeyye. What is prob of sequence yey?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 14*r - 120. Suppose r*g = -2*g. Suppose -4\/7*u**2 + g - 8\/7*u = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17)*-1 + sqrt(17) + 0)*-4*-1 + (1*sqrt(187)*-1)\/(sqrt(11) - ((sqrt(88)\/sqrt(2))\/sqrt(4) - sqrt(11))) + 3.\nAnswer: -sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23708 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98\/42 + -3*2\/18. Solve -15 = -y*j - d, 5 = -2*d + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 6 + 48 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + -6*((-1*sqrt(8640) - sqrt(8640) - sqrt(8640) - sqrt(8640))\/sqrt(4))\/((sqrt(500) + sqrt(500)*2 + sqrt(500))*-4)).\nAnswer: -9*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925013.\nAnswer: 29, 167, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 7*z**2 + 6*z - 8. Let h be d(7). Solve 0 = 5*b + 4*m + 6 - 19, h = 5*b - 3*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 d when three letters picked without replacement from {x: 1, s: 1, a: 1, c: 2, g: 1, d: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 70. Let j = c + -8. What is the first derivative of j*u**2 - u**2 + 1 - 4*u**2 wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.899 - 1.419. Put o, 2, -5\/2 in ascending order.\nAnswer: -5\/2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 24 = -7*b. Suppose 3*c - 249 = -b*h, 12 = -4*c + 8. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.52 and -144.58?\nAnswer: -364.3416","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 47. Suppose -o = -3*z + 3 - 0, -o = 2*z - q. Which is the closest to o? (a) -2\/9 (b) 1\/3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 - b**3\/3 - 43. Let a(h) = -h**3 + h**2 - 6*h. Calculate -a(n) - 2*q(n).\nAnswer: -n**3 + n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7*q = 174. Suppose 3*h - 35 = 25. What is the remainder when q is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 + g**2 - 10*g + 5. Let p(l) = 5*l**3 + 2*l**2 - 10*l + 5. Let q(m) = -7*p(m) + 6*w(m). Determine q(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*w - 11. Suppose 5*v + 21 = 81. Let n(u) = -v + 2*u + w - 3*u. Calculate n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -565, -1033, -1505, -1981, -2461?\nAnswer: -2945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 29*z = -90. Let n = 127 + -59. What is the remainder when n is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 20*a - 45. Let x(z) be the second derivative of 0*z**2 - 3*z + 0*z**5 - 1\/24*z**4 + 0*z**a + 0 + 1\/60*z**6. Find v such that x(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l + 43*l - 115*l**2 - 20*l.\nAnswer: -115*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -160175 and -745.\nAnswer: 119330375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -473*k*s - 10*k + 34 wrt s.\nAnswer: -473*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5483*b - 5856*b - 2001*b + 1063*b + 1327*b to the form h + o*b and give o.\nAnswer: -10950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129 - 66 - 66)*(1 + 4 - 4)*(5 + 4*j + 0*j - 3*j).\nAnswer: -3*j - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 202157429?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 2*y - 17. Let b be a(-6). Let m be (2 + -3)*b + (3 - 0). Let d = m + -162. What is d rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 118. Determine q(16).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31941 + -11461. Calculate the highest common divisor of 320 and u.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5)*-5*3\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 76*w**3 + 4*w**2 - 2*w - 4. What is the units digit of f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72796776.8 to the nearest 1000.\nAnswer: -72797000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 442*n - 9. Let m(p) = 876*p - 20. What is 7*l(x) - 3*m(x)?\nAnswer: 466*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 + 5*m. Let u(b) = -b**2 - b. Let z(j) = -j**2 + 9*j - 5. Let a be z(8). Let n(k) = a*u(k) + f(k). Let y be n(0). Solve y*r = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (89 - (26 + -17 + 4 + 4 + -8))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87485921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.038174 - 29.610326. Let k = -29.5 - z. Round k to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -32315.\nAnswer: 2\/32315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 68, 115, 178, 263?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + (-2 - (-15 + -6 + 11) - -59)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 623 and 1775550.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 24 = 53368*g - 53367*g, g + 2*m - 39 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 6:58 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**3 - 4*w**2 - 2*w + 7. Let o(m) = m**3 - 2. Let f(q) = 5*o(q) + s(q). What is f(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 593 = 125. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6812, 6801, 6794, 6791, 6792?\n\"Answer: 2*o**2 - 17*o + 6827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b - 40*b - 8*b. Is t(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 2*v**3 - 3*v**3)*(16*v - 3*v - 17*v - 14*v - 14*v).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-8)*0)\/(2 - 0). Suppose -5*p + 137 + 101 = q, u = -4*q + 12. Which is bigger: p or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1367\/6835)\/((72\/15)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45365.09 millennia in decades?\nAnswer: 4536509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 323.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -316 + 96. Calculate the highest common factor of w and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 24*j + 3. Let m(o) = 2*o. Suppose -4 = 19*n - 17*n. Let u(l) = n*r(l) - 22*m(l). Find y such that u(y) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14117, 14115, 14113, 14111, 14109?\n\"Answer: -2*q + 14119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*a**3 - 190*a**3 + 86*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (29 - -107) + -230.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3, 82 = 2*i + 3*z + 71 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 855 by 95.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 0, -22 in descending order.\nAnswer: 126, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:00 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 + 6 + -4. Suppose 0 = t - 4*y + 12, -a*t - 3*y = -5*y + 6. Suppose p - 9 = -t*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 39*n**4 + 3*n**3 - 5*n**2 + 7*n - 2. Let k(z) = -z**3 + z**2 - z + 1. Let j(x) = g(x) + 5*k(x). Find the second derivative of j(a) wrt a.\nAnswer: 468*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-4))\/((-9)\/(-12)). Let p be (-1 + l + -4)*-1. Solve d = 5*m, 3*m = -p + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7614128 divided by 41\nAnswer: 7614128\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4852?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.06 - -1. Let j = r + 0.26. Suppose 4*w - 22 = 5*q - 7, -2*q - 6 = 0. Which is the smallest value? (a) w (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*-1)\/sqrt(7) - ((sqrt(48) + sqrt(48)*-2)**2*-1 + sqrt(48)).\nAnswer: -8*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 0, 127, 7, 1, 2 in descending order.\nAnswer: 127, 7, 2, 1, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37511 is divided by 149.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7644334 + -4312334. Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**2 + n - 7 + 20\/3*n**3. What is the units digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5 + 1 + 618\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.4, 2\/371, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3\/3 - 164875*y**2\/3 - 9914405*y\/3 + 129001675\/3 = 0.\nAnswer: -71, 11, 33035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + q**2 + q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/540*24*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1661 + -841. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2391 = o - 2906. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 19318\/17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923664073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 959520 and 1080.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22220002020110 (base 3) in base 2?\nAnswer: -10010000001101100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 207766, 207765, 207764, 207763, 207762, 207761?\n\"Answer: -m + 207767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22926253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-7) - (-60)\/(-12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14788900 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005891 times 144?\nAnswer: -0.848304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2998*l**3 + 0*l**2 + 2*l**2 - 2*l**2 - 2989*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 61\/4 of a hour?\nAnswer: 54900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -21. Let s(c) = -6*c. Calculate s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6482\/1852)\/(2\/(48\/21)). Let u = 20 - 105. Let d = 681\/8 + u. What is the closest to 2 in 0.2, d, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 8:38 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 27. Let f be u(23). Let o be (-1)\/(-2) - (f\/10 + -4). Which is the closest to 2? (a) -3\/7 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most as big as 197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - 4) + (-1624)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236 + 636. Let k = 406 - n. Solve x - 9 + k = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 3*n + 4. Let t(q) = 2*q**3 - q**2 + 6*q - 20. Give -4*d(h) - t(h).\nAnswer: -2*h**3 - 3*h**2 + 6*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -0*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.081 in 80, -3, 53, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 9. Let f(z) = 2*z + 2*z**2 + 5*z - z**k - 7*z**2 + 0*z + 5. Determine f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80790614216 - 0.21\nAnswer: -80790614216.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 + -192. Let t be o\/(195\/(-6)) - 0. Put t, -2, 12 in decreasing order.\nAnswer: 12, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 25*l**2 - 56*l**2 - 4*l + 60*l**2 as w*l**2 + r + t*l and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 12.42?\nAnswer: -0.4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3235*j**5 + 38760*j**4 + 91300*j**3 + 1680*j**2 = 0.\nAnswer: -2, -12\/647, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**2 - 16*w + 7. Let n be o(-2). Calculate the highest common divisor of n and 204.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 11*s**2 + s - 8. Let d be o(11). Let a be 20\/35 - 62\/(-14). Solve 5*r + 3 + 12 = a*i, 0 = d*i - 4*r - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (-24 - (-39 - -48))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227395.\nAnswer: 5, 7, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 6591768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d + -12ab8?\nAnswer: -12a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 700 - -303. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 42*q + 212. Let h be b(-5). Suppose 4*s = 3 + 17. Suppose -h*g + 0*g + 23 = s*c, 29 = 2*g - c. Calculate the remainder when 63 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7862*r**6 - 14*r**2 - 3*r - 34 wrt r.\nAnswer: 943440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 5, w: 1, n: 1, t: 6}. What is prob of picking 1 w, 1 s, and 2 t?\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 13 (b) 0.3 (c) -1.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-112)\/(-24))\/((-4)\/(-318)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -5 + -7 + (6 - (5 - 17 - -17))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 2910*z**2 - 2*z - 835*z**2 + 19160*z**2.\nAnswer: 15415*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - 18*r + 28*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*q + 97*q - 770. Let l = q - 110. Let r = -3\/989 - 1741\/78131. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 divided by 40?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + 0*y + (-2*y + 0 + 0)*(1 - 4 + 0) + (2*y - y + 0*y)*(1 + 0 + 1))*(-2 + 2 - 3*y**2).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17014 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 5 - 4)*(-2*w + w + 4*w + w**2 + (-2*w + 4*w - w)*(-1 + 1 - 2*w)).\nAnswer: -16*w**2 + 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + v - 1. Let k be l(2). Suppose -3*y + 3*x - k = -56, -4*x = 4*y - 28. What is the remainder when (-12)\/(3 + (-33)\/y) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 0.04731\nAnswer: -0.80427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/5 - 179885658*h + 13482854147538735.\nAnswer: 3*(h - 149904715)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9ba4c + -7?\nAnswer: -c9ba54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -192*v + 201*v - 288. Let g = v + 119. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(300\/3000)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/18 - 2476*i**3\/9 - 1532644*i**2\/3 + 3454*i - 1. Factor t(g).\nAnswer: -2*(g + 1238)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877900 rounded to the nearest 10000?\nAnswer: 3880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92988236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 25*n - 55. What is the least common multiple of 5 and b(6)?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 2*z + 3. Let x be f(2). Let c = -5 - x. What is the closest to c in 2\/11, -4\/9, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wiiiwwwwwiwiwwwwwww.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9654, -9653, -9648, -9639, -9626, -9609?\nAnswer: -9588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -108.1. Which is the nearest to n? (a) 1\/10 (b) -1 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*z + 39. Suppose -193 + z = -7*r. What is the highest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {n: 9, g: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmimimm. What is prob of sequence mmmm?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 - 6 = 0. Let a = z - 4. Let b be a\/2*-3*1. Do b and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*v = -25, 0 = -5*s + 4*s + 3*v + 5. Suppose -146 = -s*r + 2*w, 4*r - w = w + 116. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - ((0 - 178) + 0). Let x = l + -157. Let w = -4 - -8. Solve -5*d = x - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 3. Let w(o) = 2*o - 7. Calculate -13*m(g) + 6*w(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4))**(2\/133))**(1\/61) assuming m is positive.\nAnswer: m**(-1\/16226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 29. Suppose 2*x = -0*x + u. Solve x = -5*h - 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*c**6 - 2754*c**3 + 3*c**2 - 1392*c - 3 wrt c.\nAnswer: 16560*c**3 - 16524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54382744 divided by -522911.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -1865 + 549. Let a = -79 - v. What is the highest common divisor of a and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 578.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3) + 67 - 30.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2660, -11216, -25586, -45770?\nAnswer: -71768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - t + 1. Let a(u) = u**3 - 4*u**2 - 3*u + 1. Let l(m) = m**3 - 3*m**2 - 4*m. Let y(d) = 3*a(d) - 2*l(d). Give 3*k(p) - y(p).\nAnswer: -p**3 + 3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5030383 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**7\/945 - h**6\/180 - h**5\/45 + 2*h**4\/27 + h**2 + 13. Solve q(y) = 0 for y.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*h - h. Let l(n) be the first derivative of h - 4\/5*n**3 - 3\/20*n**4 + 0*n - 6\/5*n**2. Factor l(k).\nAnswer: -3*k*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 990544649 to the nearest integer?\nAnswer: 31473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -2*s - 3*h, 3*h + 0*h = 3. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424794696.\nAnswer: 2, 3, 191, 92669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41320239*l**3 - 22284042?\nAnswer: -123960717*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85c3 - -1000?\nAnswer: 95c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + -236 + 233\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 94, 146, 200, 256, 314?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7122 + 2?\nAnswer: 7124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 520 - 9\/(-3). Suppose -k + 42 = -5*o. Suppose 0 = -4*m + 8*m - o. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465588.\nAnswer: 2, 366397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9764, 0.17, -0.1 in decreasing order.\nAnswer: 9764, 0.17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*p - 33*p = 272. Solve g - 11 = -4*s + 2, 5*s = p*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2772270, -19.\nAnswer: -19, -6, 2772270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**1*(n**1*n)**(-20))**(5\/12) assuming n is positive.\nAnswer: n**(-805\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6 + 0 + i + 1. Let f be m(5). Suppose f = -5*z + 30 + 5. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -593 + 883. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1907 divide 512483366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6272.391l to millilitres.\nAnswer: 6272391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2526 - -2523. Which is the third smallest value? (a) 1\/2 (b) -1 (c) g (d) -352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/26 + 114180\/585 + 21. Are y and -3\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1104*j - 2217*j - 2 + 1097*j + 1.\nAnswer: -16*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -0.5. Let q = t + 1.558. Let x = q + 0.522. What is x rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:22 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 0 (c) -4 (d) 0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11010000000?\nAnswer: 11001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 13 = -5*k, 3*a + 68*k = 7*a + 66*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 21. Let q = -15 + 18. Put i, -1, q in descending order.\nAnswer: q, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85110150 to the nearest 100000.\nAnswer: -85100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 15825*l**2 + 16695375*l - 5871206875.\nAnswer: 5*(l - 1055)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*m + 2*m + 88 = 0, -4*z - 4*m = -160. Let i = 742 - 728. Solve 0 = 7*l - i + z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 10. Let r be u(0). Suppose r*y = 8*y + 8. Suppose -4*m + 617 = 4*d - 7*m, -y*m = 12. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129746?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/(-35))\/(9\/2745). Which is greater: 908\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 8*i - 3*i)*((6*i - i - 4*i)*(8 + 4 + 6) + 2*i - 5*i + i).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - m)*(-m - m + 3*m)*(-3 + 2*m + 3).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 975921 and 128821572.\nAnswer: 128821572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*v = 3, 0 = -3*x + 5*v - 50 - 14. Let a = -7 - x. Let z = a + -4. Which is bigger: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 11, 1, -2 in descending order.\nAnswer: 11, 9, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 + 5 + 4*d**3 - 7*d - 4*d**3. Let m be v(-7). Suppose 37 + 13 = m*p. Calculate the greatest common divisor of p and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q - 44. Let p = 0 - -7. Calculate the lowest common multiple of p and q.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16))\/(30*(-11)\/33).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/3780*30*(-12)\/(-15)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(700) + 0)*-3)**2 - (sqrt(28)*-2*3)\/((sqrt(4) - sqrt(36))*4).\nAnswer: -3*sqrt(7)\/4 + 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/15 and -10\/267.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 7:25 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 11}. Give prob of picking 3 r.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/((-1547)\/501228)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3814577353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 97?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 - s**2 - 5*s - 5. Let q be i(-1). Put 29, -3, q, 0 in decreasing order.\nAnswer: 29, q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3012, 3202, -2250, -16164, -41360, -80658, -136878?\n\"Answer: -470*g**3 - g**2 + 3483*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32.8 * 132\nAnswer: 4329.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s + 15. Let u be ((-156)\/(-39))\/((-2)\/4). Let a(y) = -8*y + 9. Let o(z) = u*a(z) + 5*b(z). Give o(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bfa3c3 - 35?\nAnswer: bfa38e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/110 + 15*m**4\/22 + 19*m**3 + 2527*m**2\/11 - 40*m - 30. Factor k(q).\nAnswer: 2*(q + 7)*(q + 19)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2124 and 1254?\nAnswer: 443916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -17*c - 1. Let j be q(-1). Suppose 73 = 3*y + j. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5*963545\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-7905))\/(2\/(-30))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/22, 1\/3, -1\/8, 4, 10, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -852 - -3034. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*w - 760189036*a + 28070022*w wrt a?\nAnswer: 2*w - 760189036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 608 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 4243*j**3 - 1706*j**3 + 2*j.\nAnswer: 2537*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from jdjjddj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 676874390 to the power of 1\/2, to the nearest integer?\nAnswer: 26017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 5427132.\nAnswer: 5427132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9633 and 119990.\nAnswer: 6839430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -927 - -928. What is the third biggest value in -5, 10, x, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48374 + -2612291\/54. Calculate the common denominator of 73\/441 and z.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35.062 or 7658?\nAnswer: 7658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**4\/4 - 2*u**3\/3 + 3*u**2 + u - 5. Is c(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w - 99. Suppose 3*c - z = 2*c + 3, 3*c + 3*z = w. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45\/2 of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2\/3 - 190012*n\/3 - 3984960 = 0. What is n?\nAnswer: -47440, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30687?\nAnswer: 3, 53, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56767658, 113535297, 170302922, 227070527, 283838106?\n\"Answer: -q**3 - q**2 + 56767649*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125320169?\nAnswer: 13, 23, 61, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/649590 and -67\/974385.\nAnswer: 1948770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6409.085 nanograms to grams.\nAnswer: 0.000006409085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 2503?\nAnswer: 7509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, p: 1, c: 1, q: 2, o: 4}. What is prob of sequence oq?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -301276, -301278, -301280, -301282?\n\"Answer: -2*d - 301274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 199*a**2 - 9596*a - 200. Determine o(-117).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -17 in increasing order.\nAnswer: -17, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -24 + (3 - -8). Let q = 440\/7 + -63. What is the fourth biggest value in k, -5, 0, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1971 = 12*p - 135. Let x = p + 171. What is the greatest common divisor of 153 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/6 + 7\/21. Suppose -v = 7 - x. Let y be (7 - 3) + (-38)\/v. Which is the nearest to 3\/4? (a) 0.5 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 21*x = -26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*d + 14, 2*y - 308 = -d - 318 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4, 106, 29, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284 + -280. Let w(j) be the second derivative of -1\/6*j**3 + 1\/10*j**5 + 0*j**2 + 0*j**m + 0 - 2*j. What is the second derivative of w(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 = 2*h - 3*h. Let y(r) = 7598*r + 53195. Let t be y(-7). Calculate the greatest common divisor of t and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 66283?\nAnswer: 66283.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -16*n**3 + 5*n**2 - 5*n - 12. Let b(t) = -24*t**3 + 8*t**2 - 8*t - 18. Let u(h) = -5*b(h) + 8*f(h). What is the first derivative of u(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -29.776 (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12*(-1 - (-10)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-176958)\/6 - 6. What is d rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466 - 834. Let s be 0 + 2\/1 + 1 - -1. Does 19 divide q\/(-6)*9\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, o: 2}. Give prob of sequence oobb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 2. Let a be c(-5). Suppose -v + 5*w = -33, 0 = 2*w + 13 - a. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17560081 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:28 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -109388701, -109388702, -109388703?\n\"Answer: -p - 109388700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -4934ff5?\nAnswer: 4934ff3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 38*i**2. Let l(p) be the second derivative of -p**5\/120 + p**3\/2 - 18*p. Let d(v) be the second derivative of l(v). Give d(o(a)).\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.9 - -99.9. Let r = 1 - 4. What is the nearest to 1 in -5, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94402590 a multiple of 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3821 + -3823. What is the closest to 2\/7 in 5\/4, y, -0.3, 28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1177.\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149326543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 + -497\/4. Let o = u + -1\/4. What is the nearest to o in -0.4, -0.5, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 990*a**2 - 118805*a\/2 + 150.\nAnswer: 5*(a - 60)*(396*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7283*i**2*p**3 + 990*i**2 - 66*i*p**3 - 2*i*p**2 - 2*i*p - 2*i + 123*p**2 wrt i?\nAnswer: 14566*p**3 + 1980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m + 13. Let o(l) = 9*l - 9. Determine -5*n(a) - 7*o(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -17*g**2 + 208*g - 26. What is l(12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27.396 * 2\nAnswer: 54.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w - w)*(3*w**2 + 2*w**2 - 2*w**2)*(-2*w - w + 4*w).\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*g**2 - 9*g**2 + 17*g**2)*((3 - 4 - 1)*(0 - 4 + 2) + 4 - 4 - 3).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + c - 8 = 0, 0*i + 27 = 5*i - c. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 2, f: 1, a: 1, e: 3, k: 3}. Give prob of sequence akk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + -0.0465.\nAnswer: -0.6465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 626, 629, 642, 671, 722, 801?\n\"Answer: j**3 - j**2 - j + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2778394 divided by -4.\nAnswer: 1389197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -297186314*i**3 - 167*i**2 - 848637?\nAnswer: -1783117884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1258*r**2 + 265*r?\nAnswer: -2516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5266417\/183282 - 151\/27770. Let b = 382\/15 + z. Let l = 2\/505 - 10621\/4040. Find the common denominator of b and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11282?\nAnswer: 2, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.374986375 + 3.375. Round d to 7 decimal places.\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410614613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 127*r**3 - 4827*r**2 + 54*r - 603. What is p(38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 6 = 0. Suppose m*u = -2*k + 4 + 4, 4*k = 4*u + 16. Differentiate 0*g + 2*g - k + 1 + g with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-1 - (-3 + 1 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*p - 2*p - 37, -4*f + 68 = -2*p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*v = -0*v - 18, 3 = v. Suppose d*q - 2*t = 34, t = -q - 0*t + 18. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85058?\nAnswer: 2, 71, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, -115, -241, -443, -745, -1171?\n\"Answer: -4*j**3 - 2*j**2 - 40*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2289)\/(-2)*(-14)\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -56 (c) 0.4 (d) 1.1 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6534.253 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 + 739*d - 189. Determine m(-185).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 14. Let a be 1\/4 + 20\/(-48). What is the closest to -0.1 in -1, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -33. Let j be (i - -5)*-1*1. Let v = j - 10. Solve v + 0 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -24*p**2 + 118*p + 798. Let z be t(-7). Which is smaller: z or -1207?\nAnswer: -1207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108399 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 2, d: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1722444*a**3*l**2*o - 1739*a**3*l*o - a**3*l - a**3*o + 2*a**2*o - 2*a**2 - 8*a*l - 6*l**2*o wrt l?\nAnswer: -3444888*a**3*o - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87.1? (a) -7 (b) 5 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 46*l - 43. Suppose 4*s - 65 = -3*w, 3*s - 5*s - w = -35. Is h(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = -25. Let y be 30\/b*10\/6. What is the units digit of (-5)\/y - 14\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76152 is divided by 25384.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, -26\/5, 3, 2, -32, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 - 350 = 0. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -5, -88684, 2 in ascending order.\nAnswer: -88684, -5, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*g**2*i**3 + 9*g**2 + 8*g*i**2 + 3*i**6 wrt i?\nAnswer: 336*g**2 + 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -7*m**4\/2 + 21*m**2\/2 - 4. Find the second derivative of n(z) wrt z.\nAnswer: -84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8789000 to the nearest one hundred thousand.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 926556150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 143, 170, 215, 284, 383, 518?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 23. Let c be q(-7). Solve 35*x**2 - 5*x**4 - 30*x**c + 0*x**4 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108025730 and 110?\nAnswer: 1188283030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:27 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 3*g**8\/8 + 23*g**4\/12 - 20*g. What is the third derivative of r(u) wrt u?\nAnswer: 2520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3\/3 + 2*m. Let n(k) be the first derivative of -k**2\/2 + 75. Let c(w) = 5*n(w) - 3*z(w). Let y(f) = -9*f. Give y(c(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + t - 3)*(-4 - 1 + 7)*(-t**2 - t**2 + t**2).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(2448) + sqrt(2448) + -2 - ((sqrt(2448) + (sqrt(2448) + -3 - sqrt(2448)) + sqrt(2448) - sqrt(2448)) + -2))*-4)**2*5.\nAnswer: 195840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4263464140?\nAnswer: 2, 5, 13, 271, 60509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {h: 3, f: 2, p: 1, n: 3, l: 1, s: 2}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, u: 3}. What is prob of picking 1 o and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1189, -4623, -10347, -18361?\nAnswer: -28665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 750 - j**2 - 1687 + 877 - 32*j = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(-12\/5)))*w\/(w*w**(-2\/77)\/w))**(-4\/13) assuming w is positive.\nAnswer: w**(576\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/5)\/(15 + -1). Let r = -3 - -6. Suppose 4*y - r*i - i + 20 = 0, 0 = y - 5*i + 25. Are y and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from uubbbbututtu.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4324111142 + 3?\nAnswer: 4324111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + -0.42. Let b = -19 + 17. Let a be b*58\/(-396) + 38\/(-209). Sort 0, a, n in descending order.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.148217243 to four dps.\nAnswer: 0.1482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3))*-2 - (2*sqrt(3) + -2 - sqrt(3) - sqrt(3)).\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2073, -4161, -6247, -8331, -10413, -12493?\nAnswer: -14571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 44 = 9*y. Let a(p) = -y*p - 15*p - 2*p + 2*p. Let d(u) = u**2 + 3. Let o(l) = 2*l**2 + 5. Let k(s) = -5*d(s) + 3*o(s). What is a(k(c))?\nAnswer: -59*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -1)*4 + -3 + 5*sqrt(162) + sqrt(162) + 4 + 2*sqrt(162) + 3 + 1)**2.\nAnswer: 216*sqrt(2) + 23329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 35*s**2 - 67*s + 26. What is r(33)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b**2 + 42*b - 28. Determine k(7).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9191 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -38, -42, -48, -56?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -5*g + 33. Suppose -m - 270 = -0*f - 2*f, -5*m - 10 = 0. What is the remainder when f is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3937, 3949, 3961?\nAnswer: 3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 46005 = 2*u + 2*h, -2*h + 46002 = -2*u. What is the tens digit of 11\/(891\/18) - u\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -18. Suppose m*v - 7*v = -5*f + 1288, 3*f + v - 783 = 0. Suppose 0 = 2*a + 2*c + 52 - 182, 4*a - f = -2*c. List the prime factors of a.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 1, e: 3, h: 3, m: 1, x: 1}. Give prob of sequence mee.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u. Let n(v) = -v**2 + u - 1 + 0. Suppose -2*d - 411 = 4*f - 391, 5*d - 10 = 5*f. Determine n(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004222388 to seven dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 91*i**3 - 95*i**3 - 97*i**3 + 286*i**3.\nAnswer: 3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 3*g - 47. Suppose 5*x + 2*b - 150 = 0, -4*b = 2*x - 0*x - 60. Let f = 39 - x. Does 22 divide z(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1577773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 14. Suppose -10*t = -r*t - 12. What is the second derivative of 7*q**5 + 8*q + 303*q**4 - 303*q**t wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -330 (b) -0.2 (c) 724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 359?\nAnswer: 358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/(-2)) - (-45 - -44). Solve -l*w = -2*g, -4*g - 6 - 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u - 12, -u = -5*z - 36. Let k(y) = -y**2 - 7*y + 10. Give k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181*o**3 + 98*o + 53*o - 29*o**3 wrt o?\nAnswer: -1260*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - x + x)*(4*x**2 - 4*x**2 - 2*x**2) - 1 + 6159*x**2 + x**3 - 12314*x**2 + 403*x + 6156*x**2.\nAnswer: -11*x**3 + x**2 + 403*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, n: 3, q: 6, l: 1}. What is prob of picking 1 n, 1 l, and 2 q?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 11041230430?\nAnswer: -11041230440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1424 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 20 = 4*z + 2*f, -20 = -4*z - 5*f. Suppose 13 = 4*p + z. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7968*t. Let m(h) = -h. Determine y(m(x)).\nAnswer: -7968*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18920 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(2\/41))\/u)\/u)\/(u**(2\/3)\/u)*(u*u\/(u\/(u\/u**(-1))))**(-2\/17) assuming u is positive.\nAnswer: u**(-2234\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/((8*3741\/(-116))\/(-6))?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 + 311*y**2 - 358*y**2 - 187.\nAnswer: -47*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2237898 - 12)\/18 + 10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (4 - 4) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 18. Suppose 5*g - v - 8 = 0. Differentiate 1 + g*a - 3 - 1 with respect to a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:58 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 1, g: 10, t: 2, l: 2, v: 2}. Give prob of picking 1 v and 1 n.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 84622712 to the nearest 10000.\nAnswer: 84620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 11*c - 1. Calculate f(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1142\/7 + 325\/2. Find the common denominator of 53\/130 and v.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -4 (c) 3 (d) 0.522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/15 + (-6)\/15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -67. Suppose 0 = -k + 3*q - 0 + 7, -4*k = 4*q - a. Suppose -3*o + k*o - 4756 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d. Let p(t) be the second derivative of -t**7\/1260 + t**4\/4 - 10*t - 7. Let z(m) be the third derivative of p(m). Give z(r(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0378 (b) 0 (c) 7 (d) 0.23 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/531 and -56\/649.\nAnswer: 5841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642350 by 5.\nAnswer: -128470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -292, -297, -306, -319, -336?\n\"Answer: -2*n**2 + n - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 2*j**3 - j + (0*j**2 + 0*j**2 + 2*j**2)*(0 + j + 0) - 2*j**3 - j**2 - 2*j**2 + 6*j**2.\nAnswer: 2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 163000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2501 (b) -1\/4 (c) -2\/7 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500800 and 420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*f = -47, -5*f + 10 + 9 = o. Differentiate -4*z + 9 + o - 5 - 2 with respect to z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*-1314.52.\nAnswer: -178774.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/377 or 0.99316?\nAnswer: 12\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 5*q**2 - 24*q + 65. Give s(6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492337505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xffxbfpff. Give prob of sequence pxfb.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7701, 16763, 25839, 34935, 44057?\nAnswer: 53211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 + 1. Let y(h) = h**2 - 1. Let f(p) = y(p) + z(p). Let t(x) = -x - 8. Let b(w) = -3. Let l(q) = 8*b(q) - 3*t(q). Give f(l(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03436 + 0.03436. Let d be 6\/(-2) + (-1988)\/(-105). Let t = -49\/3 + d. Which is the nearest to w? (a) 0 (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from htttsssehshtteqsesqt. What is prob of sequence etqe?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.733871 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396.8963 millennia to decades.\nAnswer: 39689.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 7 + 4 + 5 - 1.\nAnswer: 29*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 184211755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81, 95, 95, 75, 29, -49, -165, -325?\n\"Answer: -l**3 - l**2 + 24*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2*7\/(-14)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/3)*j*j**(3\/8))**(-22\/7)*(j**1)**(-2\/97)*j**(-5)*j**(-3\/7)\/j assuming j is positive.\nAnswer: j**(-121903\/8148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*m - 490 + 292 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 9) to base 13.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24259440131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*w + 24 = -1064*w + 4*i, -6*w + 30 = 5*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248\/3 + -82. Let n(f) = f**2 - f + 6. Let y be n(-5). Let g be (-2)\/(-4) + (-26)\/y. Which is the nearest to o? (a) 1\/3 (b) g (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2\/2 + 6*v + 46. Give w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/64 <= -45050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:48 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 40 = 4*r, 0 = -2*r + 465*m - 464*m - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - (-48)\/(-9))*-21. Let c(s) = s**2 - 17*s + 49. Let v be c(f). Put v, 0, -2 in decreasing order.\nAnswer: 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*d*m**2*n + 2*b*d*m*n - 40*b*d*m - 4*b*m**2 + 19*d*m**2 + 2*d*m*n - 2*d*m - m**2*n wrt m?\nAnswer: 2*b*d*n - 8*b + 38*d - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650615 is divided by 324?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) + (sqrt(396) - sqrt(396)*-1))*-1)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/5564 and 37\/321?\nAnswer: 16692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-84)\/30 - ((-92)\/(-10) + -9). What is the biggest value in -191, -0.5, q, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-84))\/((-158)\/28440))\/(4 - 20\/7)?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/228 and -55\/6816.\nAnswer: 129504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 445 = -5*q, 3*k = 2*k + 2*q + 200. Suppose -3*u - 54 = -k. What is the lowest common multiple of u and 22?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -45. Let h = -37.5 + d. Which is the closest to 1? (a) 2\/3 (b) h (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 149, 236, 323, 410?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66578 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**2 - 4*g - 1. Let u(q) = 12*q**2 - 5*q - 1. What is 4*m(l) - 3*u(l)?\nAnswer: 8*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2949536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 18. Let t(o) = -o**3 + 16*o**2 + 19*o + 1. Suppose 5*k - 84 = q, -2*k - 2*q = q - 37. Calculate the remainder when t(k) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997756273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 36. Let u be (2\/(-2))\/(2\/(-4)). Let z be 8\/6 - 4\/(-6). Solve -u*t = z*a + g, 10 = -a - 2*t - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-567)*-7 + 297676\/36 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**2\/2 + 20*z - 15. Let p be r(-5). Sort 2, p, -5 in descending order.\nAnswer: p, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -17*j - 672. What is the highest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3695 + 942 + 912 - 85*y**2 + 923 + 918.\nAnswer: -85*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 16*r**2 + 36*r + 22. Calculate k(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -48, -35, -6, 45?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6 + 1 - 2*c + 0. Let z be k(-5). Solve 0 = -z*s - 5*w, 5*w + 5 = -6*s + 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + (sqrt(245) - -1*sqrt(245)))**2 - (sqrt(50)\/(sqrt(40)\/sqrt(4)) + sqrt(500) + sqrt(500) + 0 + sqrt(500)).\nAnswer: -sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164222?\nAnswer: 2, 157, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.41 + 6.71. Which is the third biggest value? (a) h (b) 0.6 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 17, 92 in decreasing order.\nAnswer: 92, 17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 4. Let k be x(-5). What is the common denominator of (9 - 23\/12) + (-2 - -1) and (68\/(-96))\/((-2)\/k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 8 + 24*w - 1 + 5 - w**3 to s*w**3 + d*w + n*w**2 + y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*r + 76 + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2153 + 2195. What is the highest common divisor of i and 387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.2. Is 2 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27544 and 1051644?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029929 minus -3?\nAnswer: 3.029929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 1185?\nAnswer: -1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311221101 (base 5) to base 8.\nAnswer: -4666674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 3, k: 1, r: 2, d: 6, p: 5}. Give prob of picking 1 r, 1 p, and 2 d.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 927*i - 57141. Give r(58).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*a + 2)*(-80*a - 58 + 58) - a**2 + a**2 + a**2.\nAnswer: 161*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22407, -22411, -22417, -22425, -22435, -22447?\nAnswer: -22461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21375 and 250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 1375*(-4 + 3). Suppose -149*o - 2004 = -145*o. Let c = o - p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 1 + 19. Suppose 7*q + 8 = -v. What is the third smallest value in -5, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10940 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: 10\/(-6)*3\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5 + 7, 191 = l - 3*p. Let n = l + -181. Suppose 4*q = 4*b - 4, -b - 5*q - 9 = -34. Calculate the smallest common multiple of b and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1055 and 48\/145?\nAnswer: 30595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/((-2)\/15). Sort f, 0.4, 1.\nAnswer: 0.4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 12*s - 8. Let g(k) = k**2 - 11*k - 7. Let x(m) = -3*g(m) + 2*w(m). Let u be x(6). Solve 3*j - u + 8 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*n**4 + 488*n**3 + 82065*n**2?\nAnswer: 912*n + 2928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3103324 (base 7) to base 10\nAnswer: 370948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42993617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6396 and -4\/3627.\nAnswer: 594828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-10) + (-165002)\/(-170)?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 4)*(2*z**2 - 2*z**2 - z**5) - 7*z**5 + 73*z**5 + 46*z**5.\nAnswer: 114*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 3, 0.02, -13, 0.88, 0.1 in descending order.\nAnswer: 3, 0.88, 0.1, 0.02, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29462312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1954 or 626\/3?\nAnswer: -1954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3*o + 2*o)*(-5 + 1 + 2) + (-26 - 13 + 4)*(-3*o + 3*o - o)*(2 - 3 - 1)*(-3 - 5 - 5)*(-1 - 1 + 4).\nAnswer: 1818*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4347*l**3 - 229*l**3 - 7*l**2 + 7*l**2.\nAnswer: 4118*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 3, 2 in ascending order.\nAnswer: 2, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, y: 8, x: 8}. What is prob of picking 1 y and 1 p?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - 20 - (-5406)\/153.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 42*u**2 - 39*u - 24. Let o be s(-42). Suppose -2015 = -5*j + 3*a + 675, -3*j = 2*a - o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(420)\/sqrt(192) - 2*sqrt(875)))\/((sqrt(500) + (sqrt(500) + 1*sqrt(500) - sqrt(500)))*6 + sqrt(500) - (sqrt(500)*-2*-2 + sqrt(500))))**2.\nAnswer: 10647\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 + 2 + 5 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 194949625.997.\nAnswer: 194949562.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f - 59. Let t be m(4). Is (t\/28)\/((-4)\/75536) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 4*w + 4*w)*(-174 + 75 - 270 - 76).\nAnswer: 445*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 199*m**2 + 95*m - 357. Let t be a(-100). Calculate the highest common divisor of t and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -5. Let g = 7966 + -7960. Which is the biggest value? (a) g (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 17. Let m(i) = 10*i - 6 - r*i - 4*i. Let x be m(5). What is the highest common divisor of x and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -352 - -340. Let o be (7 - 1)\/q + 1. Which is the biggest value? (a) 10 (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/4 + 2*y**3 - 2*y**2 + 46*y - 171. List the prime factors of a(-10).\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 74 - 30 = -3*x, 4*x + 2*q - 132 = 0. What is the highest common factor of x and 2528?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 93 = 175. Suppose -68*c + h*c + 30 = 0. Calculate the remainder when c is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87375323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -29 - ((-5 - 4) + (6 - 5 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372513 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: Suppose -8*p + 64440 + 93352 = 0. Suppose 5*v - p = -5889. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(3 - 3 - 2*w) + w + 2 - 2 + 0 + 0 - 2*w + (2*w + 2 - 2)*(-2 - 1 + 1) + 0 + 0 - 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 137491 and 137491 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -210 or -211?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55154946 and 5014086?\nAnswer: 55154946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0*q + 7*q + 0 - 6 - 9*q. Let u be l(-3). Solve -3*b - 3*k = u, 5*b - 2*k + 3 - 17 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(m - m + 2*m**2) + 0*m**2 + 0*m**2 - m**2 - 4*m**2 - m + 2*m - 2*m.\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18876932 divided by -4719233?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 24*j**2 - 50*j + 50. Let d be h(20). Suppose -f + 2*v = -650, 5*f = 4*f - 2*v + d. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.215 * 27780\nAnswer: 5972.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + f + 255. What is the remainder when k(0) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144442000 (base 5) in base 16?\nAnswer: bea4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1900 and -166.244233.\nAnswer: -2066.244233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 22 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 157\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -7738, 0, -83, -1 in increasing order.\nAnswer: -7738, -83, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 + 2*m + 2. Let j(n) = 11*n - 172. Let a be j(16). Suppose 0 = -4*g - 4. Let b(c) = -c**3 + c. Determine a*b(i) + g*f(i).\nAnswer: i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050591154073 + 1?\nAnswer: 2050591154074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13064576 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t - 4. Let x(g) = 22*g + 10. Suppose -5*n = -10*n - 25. Calculate n*x(y) - 12*v(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 - 38*c - 100. Give m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359668771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j**2. Let l(r) = 3916530*r. Determine c(l(i)).\nAnswer: 138052865168100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - (1 - 6)) + -14 - -1. What is the lowest common multiple of -9*((-17)\/a - (-38)\/(-18)) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 - 2*f**2)*(-8*f**3 - 2*f**3 + 3*f**3) + 4*f**2 - 4*f**2 + f**5 + 2*f**5 - 2*f**5 - 5*f**5.\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(((-1*sqrt(102) + sqrt(102))*6 + sqrt(102)*-1*5)\/(sqrt(324)\/(sqrt(12)\/sqrt(2))))**2.\nAnswer: 2134\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d - d**2 + 826*d**3 + 11*d - 825*d**3 - 81 in the form l + a*d**3 + v*d**2 + j*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6025*j**2 - 1. What is the units digit of o(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/4)\/((-3)\/12). Let p = 11 - l. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 - c**2 - c. Let u(m) = 13*m**3 - 19*m**2 + 15*m. Give -u(l) - 4*y(l).\nAnswer: -l**3 + 23*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*l**3 + 54*l**3 + 59*l**3 + 57*l**3 + 60*l**3 + 54*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*z + 14, 202*x - 411*x - 14 = -205*x + 5*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41232199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-9))\/(7*6\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1095*s**2 - 8*s + 7. Let y(n) = n**2 + 2*n - 2. Calculate -c(w) - 3*y(w).\nAnswer: 1092*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27678, 55351, 83018, 110679, 138334, 165983, 193626?\n\"Answer: -3*l**2 + 27682*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1051?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/(-18) + (-2)\/9. Suppose k*y + 16 = 7*y. Suppose y*d - 2*w = 74, 9*w - 4*w = d - 5. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1091696, 1091697, 1091698?\n\"Answer: r + 1091695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 9 + 5*q + 11)*((0 + 0 - 2*q)*(19 - 35 - 37) + 3*q - q + 0*q).\nAnswer: 216*q**2 + 216*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k - 12. Let c(d) = -9*d + 7. Let z(l) = 5*c(l) + 3*w(l). Let y = 2 + -4. Calculate z(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70.58 - -56.58. Sort n, -0.3, 1.1.\nAnswer: n, -0.3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8414*l*t + 79*l + 2944910*t wrt l?\nAnswer: -8414*t + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-5 + 2 + 4)*(-9 + 22 + 5)*(6 - 35 - 3)*(0*r + 0*r - 3*r).\nAnswer: -1728*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9842.392m?\nAnswer: 9842392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*m - 63*m + 18 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620510633 less than -4.123?\nAnswer: -620510637.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -5654797.1 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:21 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:32 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/8 - 2\/(-8). Suppose 52 = -11*q + 8. Is w smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1683 - -1714. Calculate the remainder when 371 is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.8446.\nAnswer: 0.25338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 599474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*l - 17 = 17, 4*z = -5*l - 13. Suppose 3*f - 13 = -2*p + 35, 75 = 5*f + 5*p. Let w = z + f. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73686.685 + 73340. Let r = i - -0.685. Let y = 386.6 + r. Round y to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19112498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2599 not equal to -2580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1489469861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 29, -1\/5, 0.2, 1, 0.5, 1178?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 0.04?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/26 (b) -1\/3 (c) 28281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332817190, 665634382, 998451574, 1331268766?\nAnswer: 1664085958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152768129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 97 = -3*s - 2*d, -d = 1. Let t = s - 60. Let k = -8 - t. Solve 4*i - 8*i = k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(3 - 4 - 1)*(764 - 308 + 78698*q + 7754*q - 456) to o + u*q and give u.\nAnswer: 345808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 8*z + 1. Let x be d(-8). Let o be (-1 - -1)\/(x + 0). Suppose o*v = 3*v - 561. Calculate the highest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (584 - 592)*(3 - ((-1482)\/(-492) + 0)).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/55, 3, 1\/4, -0.1839, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 times -655?\nAnswer: -672030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11100 and 1141450?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1111594*f*n**2 + 2*n**2 + 2160*n wrt f?\nAnswer: -1111594*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2417 - -0.0417. Which is the nearest to 1.2? (a) 4 (b) 5\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -4. Suppose i*l - 80 = 4*n, -2*n - 4 = -3*n. Solve l = f + 5*q, 0*f + f - 19 = -4*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3347, -3349, -3349, -3347, -3343?\nAnswer: -3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 9*d**2 + 7*d - 16. Let h be o(-10). Which is smaller: 16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8836.238 decades?\nAnswer: 883.6238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 303*t - 10197. Give n(101).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -370.\nAnswer: -41\/370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -22, 2\/145, -0.2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049*4.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 4, 0, 20, -5, -37 in decreasing order.\nAnswer: 20, 10, 4, 3, 0, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + 9. Let r = h - 58. Which is smaller: 4\/3 or r?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*7.7\nAnswer: 3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11682 and 333999?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 11\/24*q**4 + 0*q + 0 + 8*q**2 - 13\/30*q**5 - 17\/6*q**3. Let j(z) = 9*z**2 - 4*z + 6. Determine 17*j(b) + 6*n(b).\nAnswer: -3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 3308?\nAnswer: 6616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 4*p**2 + 12*p + 7. Let z be i(6). Calculate the common denominator of -69\/8 and ((1015\/10)\/z)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218 - -336. Let c = -117.9 + p. Is 8\/31 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -y - 2*y - 17, 3*v + 15 = 0. Let r = 2.3 + -0.1. Let j = r + -2. Put 2\/33, y, j in decreasing order.\nAnswer: j, 2\/33, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:24 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w**2 + 3*w + 1\/2*w**4 + 3 + 0*w**3. What is the first derivative of q(k) wrt k?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w + 3. Let f = -36 - -36. Give k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.302 * -9218\nAnswer: 2783.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -16. Solve 0 = -h - h - x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 13*l**2 + 6. Let x(c) = 2*c**3 - 12*c**2 + c + 5. Let w(r) = -4*o(r) + 5*x(r). What is the units digit of w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (-3 - (5 - 9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -58897.5833 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(432) - (-2 + sqrt(432) + -5)) + sqrt(432) - (sqrt(432) - sqrt(432)*4*4))**2 + 1 + -3 + -2.\nAnswer: 8064*sqrt(3) + 331919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 996826 and 2422.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4 - 121657793*a**3 - a**2 + 398060414*a.\nAnswer: -12*a**2 - 729946758*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -707?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1254*x**3 - 45*x**2 + 21776465.\nAnswer: 3762*x**2 - 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 114354.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6777*b**3 + 492*b - 10 wrt b.\nAnswer: 40662*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 24*u = -27*u, -2*u = -4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 + 5*n - 8. Suppose 0 = 2*p - 3*p - 7. Let w be 47\/p - (-2)\/(-7). What is the units digit of l(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212102001201 (base 3) to base 7.\nAnswer: 15644101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 143. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + -71.99. Let y = g + 64.4. Let x = -7.59939 - y. Round x to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2663604*f*v**3 + 7*v**3 + 62*v**2 + 889 wrt f?\nAnswer: -2663604*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 715.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 4*w**3 - 2*w + 1. Suppose -190144 = -7*t + 5296. Let c(o) = 0*o + o - t + 27920. What is p(c(f))?\nAnswer: 12*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 5*t + 102 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57898 + -57898. Let o = 7 - 3.5. Let t = o + -3. What is the nearest to d in t, 0.4, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*1080\/(-80)*-2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/660 and 13\/24?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 1\/(-12)*4*-168?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.13265 - -43.643. Let l = q - -4.49. Round l to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/54)\/((-108)\/648)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11*2*2\/22. Suppose -2*p + 8 = -m*i, -p - 3*i = -2*i - 4. What is the biggest value in -0.4, -4, p, 4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01 + 1.09. Round t to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143211 (base 5) in base 6?\nAnswer: 244213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 4700000. Let p be d(0). What is p rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19619180899 rounded to four decimal places?\nAnswer: -0.1962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/((sqrt(144) + sqrt(4))*1))**2 - (sqrt(220)*4)\/sqrt(11)) + -4.\nAnswer: -8*sqrt(5) - 191\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -9 - 3. Suppose u*v = -0*v + 24. Let y(r) = -r - r + r + 7. Determine y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 1)**2 + sqrt(13) + sqrt(52)\/sqrt(4) + -2.\nAnswer: 24*sqrt(13) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)*j)**(-6\/7) assuming j is positive.\nAnswer: j**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2588, 5176, 7764, 10352?\n\"Answer: 2588*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*p - 371 = 0, g - 198 = p - 6*p. What is the remainder when g is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d + 5. Let s be a(-5). What is s rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16294, -65195, -146688, -260773, -407450, -586719?\nAnswer: -798580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -235*w**2 + 113*w**2 + 1 + 120*w**2 - 335*w**3 - 4 + w to the form i*w + y*w**2 + f + n*w**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q - 14 = -78*q + 5*c + 2, -20 = 4*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 930103240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 3589*b**2 - 6604*b**2 + 1006*b**2 - 3045*b**2 + 940*b**2 to the form y*b + u + z*b**2 and give z.\nAnswer: -11292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -95, -151, -215, -287?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 6) + -16 + 9 + 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 1\/2*b**2 + b + 5. Let t be k(1). Solve -4*j - t = 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0*(-4 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.923 + -1567.523. Let b = 1561 + q. Let x = -0.1 - 0. What is the nearest to 1 in b, 0, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 4. Let z = 7 + -12. Let l(k) = -6*k**2 + 5. Let s(r) = z*c(r) - 4*l(r). Let a(u) = 2 + 6*u**2 - 2. Determine a(s(b)).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1426 and 121\/12152.\nAnswer: 279496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90291284999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (115\/30 - 4)*-6. Let t be (-3 + p)\/6 - -1. Put t, 1\/4, -0.1 in ascending order.\nAnswer: -0.1, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1569, 1029, -441, -3309, -8043, -15111, -24981, -38121?\n\"Answer: -78*r**3 + 3*r**2 - 3*r + 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 35*p**3 - 9*p**2 - 9. Let d(v) = -17*v**3 + 4*v**2 + 4. Determine -9*d(f) - 4*z(f).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3666 and -79\/5442112?\nAnswer: 767337792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.21 - -8659.7?\nAnswer: 8671.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 177945 + -4?\nAnswer: 177941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 71. Let t be h\/(-3)*(-18)\/(-4). Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-234)\/(-21) + -5)\/9 and 40\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148676.\nAnswer: 2, 11, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d + 4. Let c be v(0). Suppose -4*j = 2*a + 8, -a = 9*j - 4*j + c. Solve 0 = -j*p - 5*p, r + 5 = -p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((342 - 7*m - 342)*(m + 0*m - 3*m) - 2*m**2 + 3*m**2 + 0*m**2)*(-5*m**2 + m**2 + 0*m**2).\nAnswer: -60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c**2 + 10*c - 35. Let f(s) = 23 + 7*s - 6*s**2 + 0*s - 14*s. Let k(v) = -8*f(v) - 5*l(v). Factor k(g).\nAnswer: 3*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24\/30*(-95)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54345.\nAnswer: 3, 5, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -220\/27?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14145 - 3154. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.019 + 31.019. Suppose -x + 24564 = -3*n + 24619, -97 = 3*x - 5*n. Which is the second smallest value? (a) 2\/7 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104.496 and 0.074?\nAnswer: 104.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141397281 and 58821?\nAnswer: 8403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -3167, -11163, -26721, -52367?\nAnswer: -90627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -0.2 (c) 3\/2 (d) -0.6121 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Let p be v\/10 + (-24)\/(-10). Let w = -422 - -415. What is the nearest to w in p, -2\/15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8913*i**2 - 6*i + 2150903.\nAnswer: 17826*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -400, -1382, -3312, -6508, -11288?\nAnswer: -17970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-100)\/(-6))\/(1\/3). Let d = 61 + t. Solve 4*k = -2*r - 19 - d, -r = k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29787*d**2*i - 4473*d**2 wrt i.\nAnswer: 29787*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 3. Let d = -2 - -7. Let z(g) be the third derivative of 0*g**4 + 0*g - 5\/6*g**3 + 0 - 2*g**2 - 1\/30*g**d. Give 10*n(t) + 6*z(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - -702.4644591?\nAnswer: 727.4644591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 2, n: 1, q: 1, z: 2, j: 2}. Give prob of sequence jini.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/167 - -149\/501. What is the closest to v in -8, -2, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/10768 and 115\/96.\nAnswer: 64608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586162929 - 2*r**2 + 586162929.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*h + 24 = 0, 5*x + 7 = 2*h - 131. Find the common denominator of 4\/6*324\/(-16) and (-4)\/x*(-1407)\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -716216 * -4.\nAnswer: 2864864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -21*b - 3. Let x be s(-1). Suppose x*p = 22*p + 3160. Round p to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216333220 by -205.\nAnswer: 1055284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 129074130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 12, -21, -124, -333, -684, -1213, -1956?\nAnswer: -2949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9611 + 16642 - 15993 = 114*k for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v*z**2 - 2*v*z + 6*z**2 - 243*z wrt z?\nAnswer: -10*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:09 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152.4 + 152.36. What is the closest to 0.2 in f, 2, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, g: 5}. Give prob of sequence yy.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.77 - 16.86. What is i rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -3, 0.5, 6\/19, 3\/8?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1656 + -1717. Suppose -p + 3*r = 37, -5*r - 206 = 5*p + 39. Let u = p - b. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, d: 3}. What is prob of picking 1 d and 2 c?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let h(p) be the third derivative of -2024*p**5\/15 - 185*p**2 + 2*p + 9. Calculate h(m(k)).\nAnswer: -8096*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and 4469.\nAnswer: 4468.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -44.4. Let v = -2 - -12\/7. What is the closest to u in -0.1, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) + 1 - -1. Suppose -2*y - 12 = -2*c, 2*y = -c - f*c. Solve c*r + 2*i + 1 = -1, 2*r + 4*i + 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9745, 77362, 260889, 618280, 1207489?\nAnswer: 2086470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c = 22*c + 32. Suppose 0 = 3*m - d - 5, c*d = -0*m + m + 2. Solve -3*o = -m - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 7*c**2 - 8*c**2 + 2*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4541506652?\nAnswer: 2, 163, 251, 27751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.299 + -0.001. What is the smallest value in c, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/(-15) - 6)\/(-1). Solve -786*b - v = -788*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3211, 3205, 3197, 3187, 3175, 3161, 3145?\n\"Answer: -x**2 - 3*x + 3215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3188650 is divided by 365.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 11*b**2 + b - 10. Let w be n(11). Suppose -3*s = -14 - w. Calculate the smallest common multiple of 7 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b = 55*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2194 is divided by 182?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h**2*p**2 - 3*h**2*p - 6*h*p - h + 679025*p**2 + 10504*p - 2 wrt p?\nAnswer: -16*h**2 + 1358050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -5*a - 44, -109*v + 114*v + 11 = a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 32*o**2 + 405*o - 225. Give a(9).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 2\/11, 0.07?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2. Suppose 12*r = -3*x + 15*r + 27, 5*x - 35 = -5*r. Let a(h) = -17 + 0 + 9 + h + x. Give a(m(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4608 and -23\/3216.\nAnswer: 308736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82417375 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5\/2, 2, 2\/11, 0.2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005734584 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 218976 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:30 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2643 is divided by 58?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 8)*(5*m - 4*m - 3*m + (m - 5*m + 2*m)*(-2 + 2 - 2)) to the form y + o*m and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 + 3*x + 2. Let y be w(0). Suppose 5*n = 2*g - 3*g + 846, 0 = -n - y*g + 171. Calculate the remainder when n is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*l + 181, 3*l - 711 = -4*o + 2*l. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62392980?\nAnswer: 2, 3, 5, 13, 41, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 0.02 (c) -5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -3. Suppose 5*p = -5*b + b + 53, -4*p = -2*b + 20. Calculate the highest common divisor of t and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1624, 6492, 14606, 25966?\n\"Answer: 1623*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from uwwwwwuwewwwew?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 10*y = 3*y - 5*s - 19, 5*y + 3*s + 14 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/40*25420\/(-82)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u, 0*u = 3*m - 5*u + 9. What is the first derivative of -m - 5 - 22*l**3 + 37*l**3 wrt l?\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(-3)*t)**(-1\/71))**(-28)\/((t*t**(-9)*t*t**(-2\/5))\/(t*t*(t\/t**(-2\/29))\/t*t*t**(-1\/2)*t)) assuming t is positive.\nAnswer: t**(282691\/20590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 2510*s**2 + 109420*s + 208840.\nAnswer: 5*(s + 2)*(s + 46)*(s + 454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 35*v + 6 + 1 + 2*v - 8*v. Let h(b) = -15*b - 4. Let o(j) = 6*g(j) + 11*h(j). Calculate o(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/39940 and -103\/26500.\nAnswer: 52920500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zssigsnzgsnz. Give prob of sequence si.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from {a: 1, e: 1, o: 2, h: 2, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 + -22212?\nAnswer: -101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5657800 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 10. Let a be p(9). Suppose 0 = 5*s - a - 1. What is the remainder when s\/(-14) - 3105\/(-63) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 5*a - 34, -1963 + 1947 = 2*p - 3*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 45 = 3*t. What is the common denominator of 1 - 4 - 1185\/(-105) and ((-47)\/6)\/((-6)\/t)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 33) + (11 - -36 - 57).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**2 + 20999*r - 20999*r + 16*r**2.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -54. Suppose -4*p + 2*z + 50 = h*z, 90 = 5*p - 3*z. Suppose -2*f + p = 3*f. Sort 0.3, -4, -3\/5, f.\nAnswer: -4, -3\/5, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3 + 4. Calculate the lowest common multiple of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llo when three letters picked without replacement from knlqnkloonoo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {d: 2, b: 2, t: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3423116, -3423115, -3423114, -3423113, -3423112?\nAnswer: -3423111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h. Let t(o) = 3*o. Let w(y) = 2*i(y) + 3*t(y). Let f(z) = -7 - 2*z - 9 + 16. Determine f(w(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -f + 16, -8 = -4*l + 8. Solve 3*u + r = 3, -4*u - f*r + 4 = -0*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + 0*g + 4*g)*(-2 + 5 - 2)*(-3 + 1 + 0) to a*g + y and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 334342120 (base 5) in base 14?\nAnswer: 2a7994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-2))\/(-10*(-8)\/(-20))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {c: 1, x: 3, g: 3, w: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b, -d + 3*b - 3 = 4*d. Let h = 4 + d. Let c be 12\/7 + h\/14. What is the greatest common divisor of c and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604219904 a multiple of 1458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - 2.51. Let h = 38630729.4999997 + -38630732. Let k = h - d. Round k to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - q + 0*q + 3*q - 4*q + 2*q + (1 + 0 - 3)*(-q + 1 - 1) - q - 3 + 3 + 3*q - 4*q - q - 6*q - 5*q - q in the form p + w*q and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1690 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/80 and -4\/23.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -52*v**2. Let g(h) = -h - 1. Let t(i) = -18*i - 9. Let j(a) = -9*g(a) + t(a). Determine m(j(r)).\nAnswer: -4212*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2296583*0.081.\nAnswer: -0.0186023223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30016 + -6?\nAnswer: -30024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387380566 to the nearest integer?\nAnswer: 19682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3641 (base 7) to base 8\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.004 - 0.012. Let g = k + 0.007993. Round g to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 35 (c) 988\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 4, n: 2, g: 1, u: 10}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, -2\/5, 24 in decreasing order.\nAnswer: 150, 24, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, -5\/8, -0.09 in ascending order.\nAnswer: -15, -5\/8, -0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -3\/2*s**3 + 0 + 3*s**2 - 1\/24*s**4 + 0*s. Suppose 5*m = 2*m. Give j(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 482*t**4 + 549*t**2 - 1 wrt t.\nAnswer: 11568*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -34*s**2 + 299*s - 1109. What is n(5)?\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 6. Let p(b) = 7*b + 7. Suppose 2*q + 14 = 4*x - 0*q, 2*q = -3*x + 28. Let c(d) = -3*d**2 + 3*d + 1. Let o be c(2). What is o*p(s) + x*n(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8 - 22. Suppose 562 = 5*l + 107. Let d = -31 + l. What is the greatest common divisor of v and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2246, -2080, -1918, -1760, -1606?\n\"Answer: -2*n**2 + 172*n - 2416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12223 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 209665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 27*t - 15. Give h(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 1:36 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -2 + 0*y**4 - 1\/5*y**5 - 1\/3*y**3 + 0*y + 0*y**2. What is the third derivative of b(n) wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 8 = -4*g. Let x = 87 - 61. Suppose x + g = 7*z. Solve -15 = 8*a - z*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2541 = -325*h + 3309 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 928763553 to the nearest integer?\nAnswer: 30476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/6)\/(2 - 140\/63). Let n(q) = -3*q - 2. Let t be n(-4). Calculate the highest common divisor of f and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:43 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 2, h: 9}. What is prob of picking 1 h and 1 i?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 - 1522\/7. Let q = 0.3529 - 0.0529. Sort k, 4, q in increasing order.\nAnswer: k, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -4158404?\nAnswer: 4158400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 87558938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 28 = 3*s, u = -4*u - 20. Suppose 0 = -s*p + 3*l + 24, 5*l = -5*p - 16 + 11. Suppose -p*r + 125 = -142. List the prime factors of r.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.119981 centuries?\nAnswer: 1.19981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + -16b1?\nAnswer: -16c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Suppose 5 = -3*y - i. Let f(t) = -2*t**3 + 4*t**2 + 7*t - 11. Let z be f(1). Which is bigger: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 = -3*u + 21, -2*u = -4*j - 12. Let k = u + 20. What is the remainder when k\/((-1)\/(6\/(-9))) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 15 = 2*j, 10*l = 2*j + 8*l - 20. Let y(k) = 4*k**2 + 5*k + 5. Let m(v) = -4*v - 1 + 1 - 4 - 3*v**2. Give j*m(z) + 4*y(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + u + 9 = 4*l, -4*u + 12 = 4*l. Suppose l*w + 4 = 10. Suppose h - w*h = -19. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-25))\/o**4*(o*(o*o**(-8))\/o*o)\/o**(-14) assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 3, r: 2, d: 3, y: 4, u: 4}. Give prob of sequence ju.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 257*b**2 + 262*b - 1031. What is w(258)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Suppose -7*p + m*p + 86 = w, 3*w - 268 = 2*p. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -325 - -1549. Suppose -1601 = -5*o + r. Is 57 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -457*n**2 - 24*n - 4. Let y(o) = 230*o**2 + 11*o + 2. Calculate -6*p(m) - 13*y(m).\nAnswer: -248*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3023 = 91*d - 10667. What is the greatest common factor of d and 2373?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, 2*m = 4*q - 0*m - 2462. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 7*l**2 - 5*l + 3. Let z be 6*(3 - (-1 + 3)). Let c(m) = m + 4. What is the lowest common multiple of c(0) and t(z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.1. Let k = 66 + -65.9. Sort q, -5, k in descending order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 63516540 = 17916540. What is s rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, o: 2, v: 1, m: 3, w: 1, t: 5}. What is prob of sequence bbtv?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 91*i**2 - 24*i**2 - 23*i**2 - 18*i**2. Let q(r) be the second derivative of 5*r**3\/6 - 18*r. Give m(q(s)).\nAnswer: 650*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 33*s - 16. Let v be c(14). What is the common denominator of 9*(-8)\/(-2016)*v and -47\/442?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144448 and 695156.\nAnswer: 11122496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 2596 - f**3 - 33*f + 2595 in the form q + j*f + y*f**3 + d*f**2 and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elmmmeililiie. Give prob of sequence elem.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.63 + -7.03. What is the fourth smallest value in 0.12, 4, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/11 and -32\/69.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, x: 2, z: 1}. Give prob of sequence zv.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3029810.\nAnswer: 2, 5, 7, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 5*q**2 - 2*q - 4. Let z be t(4). Let v be z + 20\/(-5) + 53. Let x = -43 + v. What is the remainder when 25 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12863 - 2788 = -153*a - 250*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1 - 8)*(-4 + 3). Suppose -f*z - 3760 = -26*z. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 21. Let h(y) = y - 4. Let m(b) = -11*h(b) - 2*r(b). Let f be m(3). Let l be ((-6)\/4)\/3*0. Is l at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, f: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11678, -21978, -30942, -38564, -44838?\n\"Answer: f**3 + 662*f**2 - 12293*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.478 and 0.04?\nAnswer: -0.05912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4212.771 years?\nAnswer: 50553.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 271413 less than or equal to 271411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1)*(81\/(-18) + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2720000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:22 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsfssdffdddfsszfdfd. What is prob of picking 1 d, 1 z, and 1 s?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**2 + t + 3. What is the tens digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 30, 52, 94, 162, 262, 400?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1603 = -4*l - 1603. Suppose 3*z - 5*z + 4*y = -14, y + 11 = 2*z. Solve l = m + z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105866 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: Suppose 27*l = 26*l + 38. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i**2 + 3 - 4 + 4*i**3 + 2*i. Let g be m(1). Suppose 2*y = g*k + 11 + 11, -y + 4*k + 16 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-30))\/(2\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -4 + (-20)\/14. Let k(l) = l**2 + 4*l - 5. Let m be k(-5). Suppose m = -4*c - 0*c. Is p != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (sqrt(24)\/sqrt(6)*-6)\/(-4*sqrt(32))).\nAnswer: 15*sqrt(2)\/8 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 = 50*n + 43*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o**2 + 16*o**2 + o**4 + 2*o**4 + o to the form i + l*o**2 + s*o**3 + k*o + p*o**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -60\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 2*b**2 + b + 2. Let s(z) = -3063*z**3 + 18*z**2 + 9*z + 18. What is -s(k) + 9*w(k)?\nAnswer: 3054*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*s - 16, 2*n - 5*s - 20 = -0. What is the second derivative of 18*q - 7*q**3 - 3*q**3 - 5*q + n*q**3 wrt q?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0078 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0 (c) 0.0358 (d) -5 (e) -3\/2 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(15)\/sqrt(3) + (sqrt(45)\/sqrt(3))\/sqrt(3))*5.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00541 - -0.92459. Round u to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -351 + 351.67. Which is the fourth smallest value? (a) h (b) -5\/2 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -87 + -11 + (5 - (-6 + -2))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + -25. List the prime factors of (-2)\/12 + (-2023)\/v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 198082, 198101, 198120?\n\"Answer: 19*i + 198063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 214 = -214. Suppose z = -6*v + 10*v + 5*y - 100, -108 = -5*v - 2*y. What is the remainder when v is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -166138 and -1173516.686.\nAnswer: -1339654.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 49*i**2 - 378*i + 800. Let u(k) = -107*k**2 + 754*k - 1600. Let c(q) = -13*h(q) - 6*u(q). Find z such that c(z) = 0.\nAnswer: -80, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3138374\nAnswer: 3\/3138374","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 1\/6, 31, 112, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*b + 77 = 0, l = 2*l - 5*b - 37. Let a = -29 + l. Let h be (-5)\/(-2)*a\/(-10). Calculate the highest common factor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5\/4 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -8. Let f = x + 4. Let -2*u + 2*u - u**f + 4*u - 3*u = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 2. Let l be m(-3). Suppose 0 = s - 2*v - 1, 2*s - 2*v + l = -0. List the prime factors of (23\/(-3))\/(3\/s).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c**2 - 4. List the prime factors of r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7578476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1. Suppose h + 3*o = -6, 4*h + 4*o = -23 - 1. Let a(l) = 3*l + 6. Determine h*r(z) + a(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*v + 8, -2*v = -5*t + 4. Let d = -11 + 27. Suppose -k + d = 2*b + 3*k, 5*b = -4*k + 28. Solve -h - b + t = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:15 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -51. What is the common denominator of -5\/38 and 2 + 57\/(-60) + (-20)\/p?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from wjwwwjjjjjwwjjjwwwjw.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.791955 litres?\nAnswer: 1791.955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*d - 8 - 5, 5*h + 27 = 3*d. Let v be h - (1 - -1 - 6). Calculate the remainder when (-2 - v)*(-31)\/3 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 429*t**5\/10 - 1255*t**2\/2 + 1110*t. What is the first derivative of p(u) wrt u?\nAnswer: 2574*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -51.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.0931, -59.3?\nAnswer: -0.0931","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:02 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -56884.776 to the nearest one hundred.\nAnswer: -56900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 79 = -4*j - 2*d, -5*j + 155 = -5*d. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -78\/19 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (13 + -8)) + (11 - -23).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/351 and -31\/108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809541920 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: Solve -88*i + 18*i + 700 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37581123.655 from 21.\nAnswer: 37581144.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 215218, 1721770, 5810964, 13774120, 26902558, 46487598?\n\"Answer: 215220*o**3 + o**2 + 9*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 82*m - 84*m + 66, -4*m + 120 = -2*j. What is the remainder when 107 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 75 - 4*c - 43 - 75*c - 34 to the form n + p*c**2 + h*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3 - 125\/(-300))\/(1593\/(-24)). Which is greater: c or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {k: 3, s: 1, t: 2, o: 3, d: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -129*g + 527 + 118 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61 - -11a?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13167\/2180 - -12\/109. Let w = -203789\/12 + 16992. Find the common denominator of w and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 4\/1 + 1. Which is the closest to -1? (a) -2\/5 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19)*-3*-3 - -1*1*sqrt(19)) + -4 + 5.\nAnswer: 1 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 70, 77, 84, 91, 98?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 24*x**2 + 31*x + 49. What is the tens digit of l(25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74305 + 74307. Factor 2 - 22\/5*m - 2\/5*m**3 + 14\/5*m**z.\nAnswer: -2*(m - 5)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnh when four letters picked without replacement from hhnnhhhhhhhhhhnhnhhh.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p**2 + p**2 - 4*p + (1 + 2*p - 1)*(3*p + 3*p - 2*p) - 2*p**2 - 2*p**2 + 2*p**2.\nAnswer: 9*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 126 = -3*k. Suppose -2*z + 9 = z. Suppose b + f = z*b - k, -3*f = 0. Solve 0 = b*a + x, 7*x - 19 = 4*a + 2*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 53 + 53 + 3*d**2 + (-9*d + 2*d - 4*d)*(1 + 2*d - 1) + 2*d**2 - 3*d**2 - 3*d**2 - 5*d**2 + 0*d**2 + 6*d**2.\nAnswer: -22*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2 + -0.2. Let j = 18 - 27. Let w = j - -8.8. Which is the nearest to p? (a) -4 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34846 and 45894671?\nAnswer: 2489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 - 6*j + 0*j**2 + 3*j**2 - j**2 + j**3. Let v be x(7). What is the greatest common divisor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 1, e: 2, v: 2, j: 1}. What is prob of sequence vjvs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.5 (c) -28 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 8287732 - 43177732. What is b rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, i: 4}. What is prob of picking 4 c?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -164*y**3 + 23*y**2 - 9*y + 18. Let i(v) = 82*v**3 - 11*v**2 + 4*v - 8. Calculate -9*i(j) - 4*t(j).\nAnswer: -82*j**3 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 4*s**2 + s. Let f = 28 + -6. Suppose -2*a + 4*m = 18, 3*a - 5*m + 0 = -f. Let v(j) = -j**2 + j + 1. Calculate a*v(k) - u(k).\nAnswer: -k**3 + 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:37 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -44.6. Let j = -43.9 - y. Which is bigger: j or 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 229?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221327097.\nAnswer: 3, 17, 4339747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*a + 540, 4*a - 3*j - 458 = 616. Let x = -246 + a. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4165\/1785*(-1)\/(-7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 1 - (-2128)\/168)*1944\/45.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/18*(1230\/(-100))\/41)\/(20\/1050).\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 959384423 to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from {o: 1, a: 8, r: 1, l: 1, t: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 110. Suppose -q + 5*v = q + b, -q - 5*v + 4 = 0. Let m = 7 - 9. Is q at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/27 (b) -0.01 (c) 1327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjpjjjjjjjjjj?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 225028 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*u = r - 4, 0 = -r - 3*u + 1. Is r at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4 - 9620*p**3 - 19248*p**2 = 0.\nAnswer: -2, 0, 4812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3738715 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, 0.12, 36\/5, 36?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 2659 + 433 = 0. Let a = d + -157. Solve -2*s = 0, a*s + 3 = m - 0*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/4 - 3*y. Let p(g) be the third derivative of -g**4\/12 + g**2. What is f(p(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 19*j**2 - 10*j - 3. What is g(-8)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let v(p) = 2*p**2 + 12*p + 5402. Determine v(h(j)).\nAnswer: 2*j**4 - 12*j**2 + 5402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98\/(-96) - (2 + -3). Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 32. Let f(v) = -11*v**3 - 2*v**2 + 2*v + 3. Let x be f(l). Let s = x + -42. What is the remainder when s is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 913 divide 1286930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 39 + 12)*(-w + 0 + 0) as m*w + s and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let k(b) = 23*b**2 + 3*b + 122. Let d(s) = -39*s**2 - 5*s - 245. Let i(m) = 3*d(m) + 5*k(m). Calculate i(v(n)).\nAnswer: -8*n**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(33)*2*-4)\/(sqrt(6)\/(1*sqrt(2)) + sqrt(108)\/sqrt(4)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123962265 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22880\/550)\/26)\/((16\/(-25))\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(160)*-2).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156124 + 156122 + s**2 + 156123 + s**2 - 468369.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5116, -7230, -9348, -11470, -13596, -15726?\n\"Answer: -2*n**2 - 2108*n - 3006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477628641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(-14))))**(16\/11)*s*s\/(s\/(s*((s**22*s)\/s*s)\/s*s*s))*s*s**(7\/5)\/s*s)**(-47) assuming s is positive.\nAnswer: s**(-129814\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/(-21 + 19 + 3*1) - -2\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010000010 (base 3) in base 2?\nAnswer: 10110010010101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 103 - 57 = 0. Suppose 3*p + 73 = 5*m, -p - 3*p - w = 2*m. Let g be (-6)\/p - (3 + (-19)\/7). Sort g, 1, -4, -5.\nAnswer: -5, -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 476 = 1344. Let m be (-4)\/(-26) - (-228)\/u. Let a = -94\/385 - m. Are a and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (85 + -88)*((-20)\/(-6))\/(-2). Let d(y) = -y - 9. Let w be d(-13). Solve -t*x - 4*o = 1 + 1, -3*o = 5*x + w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3388\/23 - 1941094\/13179. Let a = 41869\/2292 - w. What is the common denominator of a and -44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.004, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 1 - 6 + 3*p**2 - 8*p. Suppose 2*z = -2 + 22. Suppose 2*w + z + 2 = 0. Calculate g(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*j = -261, -54 = 2*i + 4*j + 60. Let w = 77 + i. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 639, 2559, 5755, 10221, 15951?\nAnswer: 22939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**6\/2 - 83*u**5\/5 + u**3\/3 - 3147*u**2 + 386. What is the second derivative of l(f) wrt f?\nAnswer: 60*f**3 - 996*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.05. Suppose 3*u + 22 = -5*q, 0 - 25 = 5*q. What is the closest to u in d, -2\/5, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxg when four letters picked without replacement from xgxggxx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*b + 3*x, -2*b + x = -3*x + 4. Suppose 3 = 3*f - 6. Let c = f + b. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 11*r**2 + 9*r - 5. Let o be d(-10). Let y = -1.2 + 0.9. What is the smallest value in -4, y, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 - 0) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**4 - 18*g**3 + 26*g**2 + 2*g + 40654263 wrt g.\nAnswer: 8*g**3 - 54*g**2 + 52*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-60)*27\/3)\/(7*(-45)\/18480)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -35*d**4 + 2834375*d**3 - 57377973605*d**2 - 221357211615*d = 0?\nAnswer: -27\/7, 0, 40493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.57, 3, 0, 66\/17, 20?\nAnswer: 66\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71862319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/8)\/((-4)\/8*2). Let g be 0 - -1 - 2\/4. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 5781?\nAnswer: 5781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - m + 2. Let u(p) = -4*p - 13. Let l be u(-4). Let r = 10 + l. Suppose -2*t - z = 7, 0*t - r = -t + 5*z. What is d(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217746 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-10))\/((-23)\/(1265\/22)). Let z = 61 + -52. Is j greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(99)*-1 + sqrt(99))*2)\/((-2*sqrt(225)*-3 - sqrt(225)) + sqrt(225))*2.\nAnswer: -8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + m + 22, -m = -2*h + 241 - 249 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 636*h**2 - 120132*h + 5725728.\nAnswer: -(h - 282)**2*(h - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 6*s**3\/7 - 4*s**2 + 34*s\/7 - 12\/7 = 0?\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 11*q - 8. Determine x(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 760.1 + -756.1. Put -2\/5, -70, x, -3\/7, 3 in descending order.\nAnswer: x, 3, -2\/5, -3\/7, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6381 + -6377. Solve 2*n = -5*h + 4*h - 10, f = -n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27460 (base 10) to base 7.\nAnswer: -143026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 - 3.84. Let h = -4.1 - d. Which is the closest to h? (a) -2 (b) 5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:31 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -843\/16 - -26923\/528. Let p = 8096 + -315685\/39. Find the common denominator of b and p.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 1\/6*q + 5\/6.\nAnswer: -(q + 1)*(6*q - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 12) + (43 - (38 + -16)) - 72.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 334*k**4 + 2*k**3 + 12400*k**2 - 23459718?\nAnswer: 1336*k**3 + 6*k**2 + 24800*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130530 is divided by 440?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a + 1 = 103 + 106 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*j**5 + 7*j**4*p**2 + 19*j**2*p**2 - 2*j**2*p - 27*p**2 wrt j?\nAnswer: 1500*j**2 + 168*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*v = -51*v - 43 - 43. Solve -m = 3*t + 14, -t = -v*m - m + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1741, 4, 5 in decreasing order.\nAnswer: 1741, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -6797 + 1598. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) - (-2)\/6. Let y(n) = n**2 + n + 1. Let g = -37897 - -37891. Let u(h) = -h**3 + 4*h**2 + 6*h + 7. Determine g*y(j) + m*u(j).\nAnswer: -j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*y = 6, 3*y + 5 = 4*v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1731*q**2 + 3*q - 1. Let x be y(2). Let t = x + 55261\/8. Find the common denominator of t and -55\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*a - 873004, 4*c = 4*a + a + 1163990. What is c rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 3 = 45. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292634?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -7 - (7 - 3) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3837970886 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5063 = -74*x - 1289. Is 50 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*j**4 - 89*j**4 + 39 + 4*j**2 - 184*j**3 + 52*j**4 wrt j.\nAnswer: 24*j - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332001 (base 4) to base 12.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87641.11t in milligrams?\nAnswer: 87641110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from cggcggccscgcscsgsss.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -202609409312*d**4\/7 + 57888220784*d**3 - 202606863042*d**2\/7 - 181876*d - 2\/7 = 0.\nAnswer: -1\/318284, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11)*-3 + sqrt(11))**2 + sqrt(11) + sqrt(11) + (sqrt(77)*-4)\/sqrt(7) + sqrt(11).\nAnswer: -9*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44520, 44522, 44520, 44514?\n\"Answer: -2*i**2 + 8*i + 44514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 29 = 40*d - 89 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4))\/i**(-4))\/(i**(-2\/5)\/(i*i**(-5)))*((i**(1\/3)\/i*i)\/i)\/(i*i**(-2))*i**(-1)*i**7 assuming i is positive.\nAnswer: i**(449\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2552.7 and -5.\nAnswer: 2547.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18915 + -18900. Suppose -5*p + f + 3 = 0, -2 = 2*f + 4. Suppose p = -5*a + 8 + 2. Solve -q = -a*q + 4*j + 25, -5*j = 2*q + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1820*a. Let l(z) = 2*z. What is 6*l(g) + y(g)?\nAnswer: -1808*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1110 + 1109. Let i = -17 - -17.1. Let x(c) = -c - 7. Let u be x(-5). What is the closest to h in 5\/3, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**10\/756000 + u**8\/25200 - 17*u**5\/60 - 2*u**2. Let i(n) be the third derivative of d(n). Factor i(y).\nAnswer: -y**2*(y - 2)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzk. Give prob of sequence kk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655053.94 minus 0.1?\nAnswer: 655053.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330660 and 5755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 - (-2 - -1)) + -1. Suppose -5*c - 4*w = -130, 5*c + 0*w = -5*w + 125. Let v be (-94)\/c - (-2)\/n. What is the closest to -3 in 4, 1\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*u**2 - 12*u**3 - 3.\nAnswer: -12*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085232 is divided by 10440?\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 14*i - 59. Determine a(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1325024\/5 or -265006?\nAnswer: -265006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, -663, -2897, -7243, -14409, -25103, -40033, -59907?\nAnswer: -85433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453061 + -674490185.\nAnswer: -674943246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -114, -170?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 10. Let c = l + 34. Let z = c + -23. What is the closest to -0.1 in -2\/3, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71218 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -141*y + 0 + 3 + y**2 + 0*y**2 + 138*y. Let z(m) = 0*m - m**2 + 5*m - 3*m - 2. What is -2*q(n) - 3*z(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120)*-6)\/(sqrt(40)\/(sqrt(8)*2)))\/(-6*(-2*sqrt(12)*-6 + -6*sqrt(60)\/sqrt(5) + sqrt(12))).\nAnswer: -4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10720*o - 363452460 + 363452460 to p*o + r and give p.\nAnswer: -10720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 0 + 0 + (2 + x - 2)*(-3 + 3 + 1) - 3*x + 4*x + 7*x + (0 - 2 - 2)*(4*x - 3*x - 2*x) + 4*x - 3*x + x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 558242432 to the power of 1\/3, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.122 and -29.271.\nAnswer: 3.571062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.099629, -2, 0.7 in descending order.\nAnswer: 0.7, 0.099629, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 1\/((-1)\/(-1)))*-2. Find the third derivative of -47*y**5 + 88*y**2 + 76*y**2 - 69*y**j wrt y.\nAnswer: -2820*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yybbbyyyyyyyyybyybyy. What is prob of sequence yyy?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4357503933 to the power of 1\/3, to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s + 63. Let r be x(-6). Suppose -2*h + h + r = -3*u, 12 = 2*h - 3*u. Solve m + 21 = h*m - 5*q, -5*m + q = -18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15113 divided by 945\nAnswer: -2159\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-20)*2855\/15988.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/11 + 77350\/4675?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 2219, 7550, 17933, 35054?\nAnswer: 60599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 17. Let q = g + 11. Let o be 23200012\/4 + 1 + q. Round o to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1254*l + 16273*l + 3576*l.\nAnswer: 21103*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 576177 and 0.02?\nAnswer: 576176.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/6 + r**3\/6 + r**2\/2 - 40*r - 4. Let v(d) = d**3 - 1. Calculate j(g) + v(g).\nAnswer: g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4438396, -4438407, -4438418, -4438429?\nAnswer: -4438440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((((-10)\/6)\/((-49)\/42))\/((-344)\/(-301)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -7. Let m be 12 + (1 - 0) + -2. Let t = m + -9. Which is the nearest to 1? (a) f (b) t (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117080 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*((2*t**3 + t**3 - 7*t**3)*(t + 3*t - 3*t) + 0*t**4 + t**4 + t**4)*((3 - 2 - 2)*(-3*t + 2*t + 0*t) - 6*t + 4*t - 12*t).\nAnswer: -78*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 726975793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20757 * 0.1\nAnswer: 2075.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from rrccrrcrcrcc?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(108)*1*-1 - (-2 + sqrt(108)*-2 + sqrt(108))) + -1 + -4)**2*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000916396 to seven dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -411 by -1.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4392*c**3*l**3 + 34*c**3 + 85*c*l + l**4 wrt l?\nAnswer: -26352*c**3*l + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:41 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 165 + -98. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 times 245?\nAnswer: -84770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 53*u**2 - 16*u + 45. What is the thousands digit of z(54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = p - 127. Suppose 3*z - 2*c = p, -3*c + 0 = -z + 21. Calculate the remainder when z is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**2 - 3*s + 78. Let w be p(27). Let f = w + -2921. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2766 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -52. Suppose -x + 8 = 2*w, d*w - 7 = -2*x + 17. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**2 - 10 + 10 + 1172*a**2.\nAnswer: 1144*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47*(4 + -15 - -4). Let o = -220 - u. What are the prime factors of o?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**3 - 10*h. Let q(x) = -x. What is n(q(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 84*i**3 - 5 + 4.\nAnswer: 84*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t - 20. Let y(i) = 7*i - 10. Suppose -s - 2 = -r - 11, 5*s + r = 45. Let l(j) = s*y(j) - 4*n(j). Give l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-1*2\/6. Let h be ((-2)\/15)\/(r\/50). Let 10\/3*j**4 + 2\/3 - 10\/3*j - 20\/3*j**3 - 2\/3*j**5 + h*j**2 = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/17499 and -167\/5295750.\nAnswer: 100619250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-25*12\/(-30)). Put -430, -0.2, -2\/9, x in ascending order.\nAnswer: -430, x, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*(z**(-1)*z)\/z)**(-11))**(7\/11))**(-5\/13) assuming z is positive.\nAnswer: z**(35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.122 + -71.878. Let h = m - -71.67. Round h to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440 (base 6) to base 8\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 11*m - 100. Let f be c(-12). Let d be (2\/(-7))\/(2\/f). Solve 18*w + d = 14*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/154 and 23\/198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/9 and 47\/59.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(4\/11))\/n)\/(n\/((n\/n**(1\/2))\/n)))\/(((n\/(((n*n\/(((n*n**(2\/9))\/n)\/n))\/n)\/n))\/n)\/(n\/(n*n**(-1\/4)))))**(-36) assuming n is positive.\nAnswer: n**(331\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/60 + 2*p**3\/3 - p**2. Differentiate y(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a - 4. Let t be 12\/(-120)*10\/a. Factor 1\/4*v**2 + 1\/4*v - t - 1\/4*v**3.\nAnswer: -(v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from yhyyyhyyyyyhyyyyhh?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/10*(1392\/145)\/24))\/(-1).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*12\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 + c**2)*(2*c**2 + c**2 - 4*c**2) + c**4 + 0*c**4 - 3*c**4 - 5*c - 6*c**4 + 5*c + 5*c**4 + c**4 - 4*c**4.\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 15 - 23 = 4*g, 5*g = u - 47. What are the prime factors of (-12)\/g + 6\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 3092*y**2 + 3087*y + 3. Let s(j) = -58*j**3 + 89668*j**2 - 89524*j - 86. Let w(c) = -172*f(c) - 6*s(c). Factor w(l).\nAnswer: 4*l*(l - 1545)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33 - 0.03. Let t = p + -3.3. What is the third biggest value in t, -0.2, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0208 - 26.6792. Round q to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Let v(l) = l**3 - 4*l**2 + 3. Let q be v(p). Let r be 0\/2*(-2)\/(-4). Solve t - q = -r*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124 * -4.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**4\/24 + 2*y**3\/3 + 5*y**2. List the prime factors of n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462, -920, -1378, -1836?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 20. Let n = 542 - 534. Which is smaller: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6625\/2 + -43040\/13. Let z = 323\/32 + 31\/96. What is the common denominator of v and z?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 3, -13, 22 in descending order.\nAnswer: 22, 3, 2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*l*m**2*s**3 + 1011*l*m**2*s + 1922*m**2*s**3 + 2*m*s**2 + 5*s**2 - 2*s wrt s.\nAnswer: 420*l*m**2 + 11532*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**2 + 3*x + 3. Let l(t) = -14*t**2 - 3*t - 4. Let z(v) = 2*l(v) + 3*p(v). Let b be z(-1). Put 3, b, 1 in descending order.\nAnswer: b, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/48312086 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:02 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*2*6)\/(sqrt(40)\/(sqrt(35)\/(sqrt(7)*-2))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(32) + 0 - sqrt(32) - 4*(sqrt(6)*2)\/sqrt(3))*-4.\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -4*c - 13399 + 13381, 4*i - 49 = 19*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/15)\/((t*t\/t**(-4)*t*t)\/t)*t*t**(-2\/15)*t\/t**(1\/4) assuming t is positive.\nAnswer: t**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + 2*k)*(-631 - 532 - 606 + 605 + (0 - 1 + 2)*(-2 - 3 + 4)).\nAnswer: 1165*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.6 - -2504627?\nAnswer: 2504915.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -774 + 773.8. What is the closest to -2 in q, -5, -0.12, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (9 - (13 - 10 - 11)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21\/625 or -0.3?\nAnswer: -21\/625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(-6*(4 + (sqrt(704) - 1*sqrt(704)) + 0) + -3) + -2 + 4)**2.\nAnswer: 19600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29646 is divided by 2268.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 16. Let v be q(-11). Let l = 0.05 + -0.25. Let k = -9411 - -9415. Which is the biggest value? (a) k (b) l (c) v (d) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/16)\/u*u**(1\/5))**(-2\/43) assuming u is positive.\nAnswer: u**(79\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 16. Let h(g) = 1 + 5*g**2 - 8*g**2 - d. Let j(n) = -2*n. Give h(j(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 10) to base 15.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:23 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 14?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 3.9, 1\/32, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 5*a)*(3*a + 0*a - 2*a)*(19*a**2 - 2*a + 19*a**2 - 22*a**2).\nAnswer: -80*a**4 + 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 65 = -4*k. What is the smallest common multiple of 8 and k?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 20 = 3*z + 8, 0 = -3*h - 4*z + 10. Let r be (-6 + 1 + (-32)\/(-6))*h. Solve 0 = 2*q + r*p + 10, q = -2*q + 2*p - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 33*l**2 + 69*l + 105.\nAnswer: 3*(l - 7)*(l - 5)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139 and 68.88552?\nAnswer: 9575.08728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiikkkkikki. Give prob of sequence iii.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 3:03 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -4, -22, -10, -27 in decreasing order.\nAnswer: 1, -4, -10, -11, -22, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/(-6 - 66)*20\/3 and 95\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - (-4 + (6 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*a**2 + 322*a**2 + 374*a**2)*(2*a + 0 + 0) as g + k*a**2 + c*a**3 + u*a and give c.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100213100 - -3100?\nAnswer: 100222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 6\/11, 0.3, -0.21, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 1478539646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4336 + 7320. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x + 44. Suppose -5*f + 10*f = -2*h + 31, -3*f + 9 = 0. Let d(w) = -12*w - 134. Let z(s) = h*c(s) + 3*d(s). Differentiate z(q) with respect to q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**3*t**2 + 5*f**2*t**3 + 82*f*t**2 + 3*t**3 wrt f.\nAnswer: 90*f*t**2 + 10*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1442.05 times -0.05\nAnswer: 72.1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34558*m**4*z**3 - 338*m**2*z + m*z**2 - 825*m + z**3 + 155*z**2 + 6*z + 2 wrt m.\nAnswer: 414696*m**2*z**3 - 676*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105535423 - -377583.\nAnswer: 105913006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighty-seven quarters of a millimeter?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 4)*(-o + 0*o + 2*o)*(-3*o - 2*o + 2*o)*(6*o - 3*o - 5*o) to the form t + j*o**2 + z*o**3 + q*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.65 - -101. Let l = h - -1.3. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184037*k**4*s + 113*k*s - 54978429*s + 2 wrt k.\nAnswer: 736148*k**3*s + 113*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195736 + 97866 - 3*u**3 + 97870.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -593\/8. Let j = -51 + 50. Is p greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = w + 2*y, -3*w - 3*y = 9. Suppose -k + w*k = -3*v + 7, -3*k + v + 11 = 0. Let t(j) = -2*j + 9. What is t(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2455 + -2454.98. What is the nearest to f in 2, 4, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. What is the closest to s in 0.3, -2\/13, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -10\/18817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 61061*t**3 - 854*t**2 + 427*t - 1281. Let u(z) = -430*z**3 + 6*z**2 - 3*z + 9. Give 6*k(f) + 854*u(f).\nAnswer: -854*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 87. Suppose 0 = -4*h - 12, 0 = 2*y - 4*h - t - 95. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -34*g - 2. Let v be n(3). Let o be -6*36\/v - 2. Suppose -25 = 5*q - 4*r, -2*r = -r - 5. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**4\/12 - q**3\/3 - 3*q**2\/2 - 3*q. Let u be v(-2). Let f = u + 9. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3979 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**3 + 5*z**2 - z. Let n(g) = -5*g - 94. Let s be n(-19). Let t(f) = -f**2. Determine s*o(i) + 5*t(i).\nAnswer: 5*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775030181 + 22?\nAnswer: -1775030159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 13*v + 7. Let h be k(4). Solve -4*r + 3*r = -5*w, -h*w = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.963724291 plus 4?\nAnswer: -168.963724291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 <= 5080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6422?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1133 + 2321002?\nAnswer: 2313203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 1\/4 (c) 106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4176, 4171, 4172, 4179, 4192, 4211?\n\"Answer: 3*h**2 - 14*h + 4187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 13*d**2 + 5. Let m be x(-13). Let v = -10 + 18. Suppose g = -s + v, -g - 4 + 0 = m*s. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17342\/5 - 3466. Let -8\/5*w + 4*w**2 + 16\/5*w**3 - k = 0. What is w?\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 50. What is the least common multiple of 5 + (-16)\/2 - -51 and k?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 6)*(-5 + 93\/21)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -298*u + 9. Let v be f(4). Let d = v - -1770. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.3598 + 146.655.\nAnswer: 160.0148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29218270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 18 = -8*a. Suppose -a*k = -54 - 42. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-4)\/60)\/(21\/(-25)).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116.4 + 115.9. What is the closest to -13 in g, 0.9, 3, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/27)\/((-70)\/(-60)). Determine m, given that 2\/9 - 4\/9*m + g*m**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/3, -2\/3, -6, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, -1\/3, -2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)*b*b**(-4\/9) assuming b is positive.\nAnswer: b**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15045*t + 29751*t + 19652*t + 41465*t.\nAnswer: 105913*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-18732*s + 8670993 - 8670993).\nAnswer: 37464*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26439 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 28*b - 1. Determine o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 - 2 - (-16 + 15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f)\/((f*f**(-6\/7)\/f)\/f*f)*(f**1)**21)\/((f**(-1\/3))**32*f**3*f*f*f\/(f\/(f**2\/f))) assuming f is positive.\nAnswer: f**(641\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 191.01 - 11.71. Let m = -183.354 + x. Let r = m + 0.054. What is the nearest to -0.1 in 0.5, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 687? (a) 5 (b) 6\/79 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*v = 145, 4*k + 2*v = k + 88. Let b = k - 6. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 10 = -5. Let q(s) = 4*s**2 - 17*s + 27. Let l be q(4). Let t = l - c. What is the highest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umpuuufqu. Give prob of sequence pq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-100) - (-122)\/(-170)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/14*(-19 - (-17 - -2)). Put -3, 171, x in decreasing order.\nAnswer: 171, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3474379 is divided by 1660?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 + 4*a + 1. Let l be p(-3). Let s(r) = 5*r + r**3 - r**3 + 23 - 7*r**2 + r**3 - l. What is the units digit of s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 532705766, 532705765, 532705764, 532705763, 532705762, 532705761?\n\"Answer: -v + 532705767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -6, 6 in ascending order.\nAnswer: -6, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekakgikaegqkeg. Give prob of sequence ae.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose q = -4*r - 0*r + 56. Suppose -3*p + r = 4*g, 2 = -p + 5*p - 3*g. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 2:29 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 2*x - 1. Let h = -59 + 66. Suppose -4*m - h = 3*m. Determine v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from ipigdiihsggis?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51238, 53921, 58392, 64651?\n\"Answer: 894*a**2 + a + 50343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 648 - 264. Let j = a - 155. Suppose 2*z + 2*t + 249 = 3*t, 2*z + 3*t = -j. What is z rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**2 + 0*l + 1\/2*l**3 - 1\/24*l**4 + 0. Differentiate g(v) with respect to v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23588, -47187, -70790, -94397, -118008, -141623?\n\"Answer: -2*i**2 - 23593*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*z**2 + 55*z + 2 wrt z?\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -2*g. Suppose 0 = 8*t - t - 35. Find the second derivative of u**3 - t*u**3 + 0*u + u + g*u wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12005523379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010111100001 (base 2) to base 4.\nAnswer: 2113201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - x**2 + 5*x**2 + 10*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1939 + -2147. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423001138007\/9990 + -254054689\/6. Let f = s - 218\/27. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*n + 796*n + 1724 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 - 0.19. Let v = 0.043 - -0.057. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-31)*(x*(x*x\/(x**0*x))\/x)**(-39))\/((x\/((x**(2\/7)\/x)\/x*x))\/(x*(x\/(x**2*x*x))\/x))**(-2\/29) assuming x is positive.\nAnswer: x**(-14144\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -784 + 1017. What is the remainder when f is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 + 10 + (9 - (-1 + 3)). Let z(j) = -j**3 - 4*j**2 + j + 4. Let v be z(-4). Solve v*b = d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(24\/11)\/s**(4\/3) assuming s is positive.\nAnswer: s**(28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j*k**3*n + 71*j*k*n + 491*k**3*n wrt j.\nAnswer: 6*k**3*n + 71*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2 - 6*k + 8. Let t be j(4). Let y = t - 39. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -n - 47, 19 + 9 = -2*z - 4*n. Let i(s) = 7*s**2 + 3*s. Let w(p) = 36*p**2 + 16*p. Let u(v) = z*i(v) + 3*w(v). Let m(o) = o. Calculate u(m(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5*d + 88 = 0. Suppose 22 = j + 4*c, -7*c + 2*c + d = j. Solve -56\/3*t**2 + 0 + 32\/3*t**5 + 8\/3*t + j*t**3 + 112\/3*t**4 = 0 for t.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 33021?\nAnswer: 33031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16673*i*u*z**4 + 157*i*u - 2*i - 15*u**2*z**4 + 2*u**2 - 4 wrt z?\nAnswer: 66692*i*u*z**3 - 60*u**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 63*t**3 - 188*t - 5. Let u = -327 - -320. Let a(b) = -125*b**3 + 377*b + 12. Let z(r) = u*c(r) - 3*a(r). Find the second derivative of z(y) wrt y.\nAnswer: -396*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*n - 180*n + 94*n - 225*n to l + f*n and give f.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 21\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*o**6 + 4169*o**5 + 2*o**4 + 2*o**2 - 199171*o wrt o.\nAnswer: 2760*o**3 + 250140*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28955 - ((-2)\/(-2))\/((-1)\/2). Suppose 0 = 32*i - 355 - k. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -0.48. Let o = 1.2 + f. Let w = o - -0.3. What is the nearest to w in -0.2, -0.5, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100111011011 + -100?\nAnswer: -1001100111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 38*i**2 - 7*i + 6. Suppose 30*t - 24 = 38*t. What is the units digit of n(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 46 = -49. Suppose 0 = p - 5, 16*f = 17*f + q*p - 366. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 12*r**2 + 25*r - 62. Calculate the remainder when h(13) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by -6.\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002021595 rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/6)\/((-1)\/(-2)). Suppose -4*v + 29 - l = 0. Calculate the greatest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -447500*t**6\/3 + t**4\/24 - t**3\/6 + 74*t**2. Let r be w(1). Round r to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 132.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41247 and 654.\nAnswer: 8991846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 427463 + 655463. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from vtkkktk?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*q - 3*p, -p = 5*q + 3*p - 19. Let a = q - -3. Calculate the lowest common multiple of 16 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/48, -3 in descending order.\nAnswer: 5, 1\/48, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1064*k**2 - 3*k - 106 wrt k?\nAnswer: 2128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 479*t**6\/2 - 2*t**5\/5 - t**4\/2 - t**3\/3 + 968*t + 7089. What is the third derivative of k(w) wrt w?\nAnswer: 86220*w**2 - 48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**7\/70 + n**4\/8 - 3*n**2\/2 + 4. Let d(l) be the second derivative of k(l). What is the second derivative of d(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n*n\/(n*n*n**(3\/17)\/n)))*n*(n**(1\/17)*n)\/n*n*n assuming n is positive.\nAnswer: n**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**13)\/(t\/(t*t**(-8\/3)))*(t**(-5\/4)\/t)**12 assuming t is positive.\nAnswer: t**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328480?\nAnswer: 2, 5, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9364 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -556 + 9448\/17. Is 0 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 43*b - 320, -3*b - 183525 + 183477 = 3*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40449746 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 3\/2, 4, -2\/119, -11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 2*a**2 - 2*a + 2. Suppose -7 = 3*d + 2. Let n be i(d). Let s = n - -92. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*u - 5*i, 0 = -3*u - 3*i + 30 - 12. Suppose u = -5*c + 5*w - 3, 0 = -5*c + 3*w - 9. Let p = c - -6. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - 1) + (8 - (-32 + 16 - -15)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p - 170*p - 7*p + 735 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5 + (-4 + 1 - 2)*(1 - 1 - 2) + 2 - 3 - 2 - 1 + 0 + 2 + (3 - 5 + 4)*(0 - 3 + 5) - 1 + 5 - 1)*(3 + 1 - 6)*(-3*c - 5*c - c).\nAnswer: 234*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17 - -5)\/((-7)\/(-14)). Suppose -3*z - r - 127 = 0, 0 = -r + 1 - 2. Let f = z + c. Solve -f*g = 2*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2\/3*f**6 + 0*f**5 - 4\/3*f**3 + 0*f**2 + 1 + 0*f**4 + 0*f. What is the third derivative of z(i) wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 203?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.233 - -0.17. Let o = -699.0686 - -699. Let x = m - o. Round x to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 2*2 - (-940)\/282. Factor g*t**3 + 0 - 2\/3*t + 1\/3*t**2.\nAnswer: t*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 8*d**2 + 8*d - 38. Calculate the remainder when c(8) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 43 + m - m - m + m + 4*m - m - 2*m + (1 + 0 - 3)*(m - 2*m + 0*m) - 3*m + 2*m + 2*m)*(1 - 4 + 2).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 2 - 1*-2. Suppose -o - y*o = -30. Calculate the greatest common factor of o and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48037861.\nAnswer: 67, 103, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -66.16 (b) 5 (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 25) + (-91)\/(-28)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3262.\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12806746 to the power of 1\/2, to the nearest integer?\nAnswer: 3579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000011101 (base 2) in base 9?\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125375\/425*(-11)\/165*-3?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s**2 + 3*s - 3. Find the common denominator of (0 + -17)*(-6)\/10 and g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.39 * -16.8437\nAnswer: -23.412743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9293890?\nAnswer: 2, 5, 929389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -195428\/11 or -17767?\nAnswer: -195428\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1120*b**2 + 11*b + 25. Let f(a) = a**2 - 3*a - 9. Give 3*f(l) + z(l).\nAnswer: 1123*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkp when four letters picked without replacement from {p: 2, q: 2, l: 1, c: 2, k: 5, e: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 + 5*r - 3. Let g = -50 - -54. Let v(n) = 3*n**2 + 4*n - 3. What is g*l(d) - 5*v(d)?\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 + (-28)\/(-6). Suppose -b - 718 = -5*f, -3*f + 192 = t*b - 225. Let s = -72 + f. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times -538350?\nAnswer: -30685950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 913726 and 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((104\/16)\/(-13))\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6300, 7430, 8560, 9690?\nAnswer: 10820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 31*a**2 + 492*a + 56. Determine o(13).\nAnswer: 5607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2010*i + 26*i**4 - 29073*i**2 + 58139*i**2 - 29084*i**2 wrt i?\nAnswer: 312*i**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/2 (c) -2\/15 (d) -6 (e) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 18. Let g be o(-7). Let d be -2 - (151334 + -2)*g\/(-2). Round d to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 303194\nAnswer: -303193.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 - 9*z**3 + 9*z**3 + (-z**5 + 4*z**5 - 2*z**5)*(0 + 4 - 5) + (z**5 + 5*z**5 - 4*z**5)*(5 - 2 - 1) - 2 + z**5 + 2 - z**5 + 0*z**5 + 3*z**5.\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 10 = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4 + 13*d**2 - 6*d**2 - 3*d**2. Suppose 0*w - 2*w = 0. Suppose -g - 3 - 2 = w. Let s(v) = v**2 + 1. Calculate g*s(p) + b(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 443 and -2838.\nAnswer: -1257234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 25 = -7. Let l be w\/1*(0 - -1). Suppose -2*k - 3*k + 26 = -4*g, 3*k - 3*g = 18. Solve l*z - k = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4703*d - 3358*d + 8044*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -4. Let z(b) = -b**2 - 11*b - 15. Let f = 0 - -4. Calculate the smallest common multiple of f and z(v).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*2*1\/(-3*(-6)\/(-18))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out 474738 * 5.\nAnswer: 2373690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or 1729?\nAnswer: 1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5241 - -5243. What is the second smallest value in -20, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 0*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*q**4*x - 2*q**2*x**2 - q**2*x + 3*q*x + 2*x**2 + 2*x wrt q?\nAnswer: -1560*q**2*x - 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -1\/9, -0.5, -65, -0.17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 515?\nAnswer: 222480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 6*z**2 + z + 17. Give v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:19 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32494382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 4 - 4.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 86832?\nAnswer: 86832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**2*u**5 + 5*i**2 + 7217*i*u**6 - 4428*i*u**2 wrt u.\nAnswer: -240*i**2*u**2 + 866040*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 21*s + 16*s)*(s - s - 3*s**3)*(2 - 2 - 1)*(-2*s + 3*s - 4*s).\nAnswer: -270*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s + 7*s - 30*s + 200. Calculate the remainder when 392 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 77 - 99 = 3*z, -3*z + 13 = -a. Solve -m - 8 = 4*x, -z*x - 195 + 189 = m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -4 (c) -5\/3 (d) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -659*y**2. Let k(h) = -2*h - 56. Let w(m) = -m - 42. Let n(a) = -3*k(a) + 4*w(a). Determine n(p(r)).\nAnswer: -1318*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7920 and 128370.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -103.83?\nAnswer: -104.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 314187998 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 763 = -w + 6*n, -253*n + 251*n - 166 = -0*w - 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 14*m = 19*m + 3, 0 = h - 4*m + 2. Solve 3*g - 2 = -h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 5*v - 10, -699*y + 696*y = 2*v - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + -0.03. Let k = n - -0.2. Let y = 2 + 0. Which is the second biggest value? (a) k (b) 3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2168553599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 6:54 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -118 (b) -4 (c) 0 (d) -2.8 (e) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9899, 19607, 29339, 39107, 48923?\n\"Answer: 2*y**3 + 9694*y + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.06331?\nAnswer: -0.31655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-5 - 2*s + 5) + 0*s + 2*s - 20*s + (0 + 1 + 2)*(3 - 3*s - 3).\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -533.2 or 41?\nAnswer: -533.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-880)\/1980*(-36)\/92?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/6 - 8\/12. Suppose j*b = 4*r + 25, -5*b + 17 = -5*r - 8. Let u be (-2)\/9 + (-60)\/(-27). Solve -12 = d - u*s, b*d + 8 = -4*s + s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23077 and 23056 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -73*s**2 - 10997. Let o(w) = -w**2. What is t(o(x))?\nAnswer: -73*x**4 - 10997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 29. Suppose l = -2*c + 913, i = -2*c - 2*c - 12. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20480 and 3090.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024 - 22?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-7))\/r*r*(r**(5\/4)*r)\/r)\/(r**(1\/4))**5)**(-21) assuming r is positive.\nAnswer: r**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 790, 1583, 2376, 3169?\n\"Answer: 793*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*l - 3*n + 15 = 118*l, -9*l - 3*n + 21 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117.99992 - 118. Round j to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.184 or -1314?\nAnswer: -1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410050.6 micrometers in meters?\nAnswer: 0.4100506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.27 - 15.73. Let m = 15.7 + i. Let v = m + 0.3128. What is v rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 3892.\nAnswer: 3892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 + 76 = -5*v. Suppose -2*x = -3*d + 169, -2*d + 46 = 5*x - 54. Suppose -6*k + d = -k. Calculate the highest common divisor of v and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24577824 divided by -12.\nAnswer: 2048152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11ae (base 16) in base 12?\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + y + 2 + 4*y)*(-3 + 3 + 1 + (-5 + 1 + 2)*(6 - 2 - 1)) to p*y + j and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*w. Suppose -2*m + 1 + 5 = w. What is the third smallest value in 6, -4, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2645752657193 and -0.06.\nAnswer: -0.3245752657193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360*i + 360*i - 17*i**2)*(3*i + 2*i**2 - 3*i + i**2 + 0 + 0 + i - i + i**2 + (-3*i + 6*i - 2*i)*(i - 5*i + 6*i) - i + i - i**2).\nAnswer: -85*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Let a = 1283.52 - 1283.4. Which is greater: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1686 + 1685.7. Let o = 1 - 0. What is the third smallest value in o, c, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176368 and 3650.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, k: 1, q: 2, z: 2, l: 1}. Give prob of picking 1 q and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1596*i - 2359. What is the remainder when l(-2) is divided by 59?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - f1892?\nAnswer: -f1897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + n - n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -1\/4*w**4 + 0*w**3 - 2*w + 0 + 0*w**2. Let k(a) = 3*a**2. Determine k(f(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 18*s**3 + 2*s**2 - s. Let f be j(1). Let o be -6 + 2 + 112 - -5. Let d = 189 - o. What is the greatest common factor of d and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 143508*a - 4165096.\nAnswer: 4*(a - 29)*(a + 35906)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*n**3*s*z - 4874*n**3*s + 2*n**3*z - 18*n**3 + 132*n**2*s*z - n**2*s + 3*n**2 - 812*s + z - 3 wrt n?\nAnswer: 84*s*z - 29244*s + 12*z - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -122\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679604728?\nAnswer: 2, 11, 367, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13794373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127118571 and 54723?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q**2. Let j(r) = 64864*r. Determine j(v(s)).\nAnswer: 518912*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9310493.\nAnswer: 73, 127541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**2 + 2*i. Let t = -291 - -287. Let a(u) = -8*u**2 - 2*u. What is t*a(o) - 3*d(o)?\nAnswer: 5*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -2 - ((-3)\/(-3) + -2). Let o be (f + (-7)\/(-7))\/((-1)\/1). Are o and 4\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81340?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 8. Let p be v(8). Suppose -2*r + 4*u = -44, 2*u + 25 = 4*r - 45. Suppose 0 = -k - p*k + r. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*x + 5. Suppose 4*z + 3*j - 18 = 0, x*j = z - 4*z + 13. Let a(b) = 3*b - 4*b - z + 3. Let o(v) = 12*v**2. What is o(a(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 4*w + 1. Let j(n) be the first derivative of -n**3\/3 + 13*n**2\/2 - 5*n + 2. Calculate the remainder when s(6) is divided by j(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368 - 248 = 56*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10308 + -10306. Solve 2*w + 5*h + m + 15 = 0, -2*w - 4*h - 14 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0, 4, -7, 290, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592120000 rounded to the nearest one million?\nAnswer: 592000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 26*y - 312. Let h be d(-35). Suppose -h*r + 613 = 2*m - 2626, 3*r = -m + 1627. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1986326 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94.793 - 4891.\nAnswer: -4985.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4*u - 20, 5*c - 65 - 191 = 41*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rirriririzrrrr.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/60 - 2*k**2. Let c(l) = -6*l. Give c(o(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18135 or 1\/4?\nAnswer: -18135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24871\/(-20349)*84\/(-22)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/2 + (-184)\/69 - 5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/2 - 781977*w**3\/2 - 1563972*w**2 - 1563978*w.\nAnswer: 3*w*(w - 260663)*(w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - -6 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687911 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425cb8 (base 13) to base 6.\nAnswer: 53201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 10:48 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 5*p - 30, -a + 2*a + 3 = -2*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1200 + -1199.333. Let s = q - 69.267. Round s to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i = -23406176 - 3030247. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 838 + -834. Let x be (-4)\/(-22)*1 - 0. Which is the closest to 2? (a) w (b) -2\/15 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**3 + z**2 - z - 1. What is a(-2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21741.116884135 + -0.1.\nAnswer: -21741.216884135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64786 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.53*1.53\nAnswer: 0.8109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - 2*o**2 + 0*o**2)*(2890 + 657*o - 689*o + 31*o) as b + f*o + a*o**2 + w*o**3 and give a.\nAnswer: -5780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 9*q**2 - 16*q - 8. Calculate the smallest common multiple of p(-7) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4 - 49908*i**3 + 14142872*i**2 - 989201292*i - 1003394070 = 0.\nAnswer: -25235, -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4473, 4812, 5261, 5724, 6105, 6308, 6237, 5796?\nAnswer: 4889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1184.359 to the nearest 10.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 625*g**3 + 24*g**2 + 8*g + 2. What is the hundreds digit of m(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25216514.\nAnswer: 2, 12608257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, s: 6, o: 3}. What is prob of sequence sroo?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = a + 18, -3*d + d = -8. What is the derivative of r**4 - 27 - 8*r**4 + a wrt r?\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*f**2 + 51*f**3 + 1 - 17*f**3 - 30*f**3)*(10*f - 2*f + 12*f) to p*f**3 + a*f**2 + m*f**4 + n*f + h and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-344)\/(-86))\/((-16)\/((-16)\/(-4))))\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 8 = -11*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + -2))\/((-16)\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:21 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2016 + -3934. Let z = q - -15409\/8. What is the common denominator of 4 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 213418 or 211771?\nAnswer: 213418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 184\/3? (a) 0.3 (b) 16 (c) 3 (d) -6 (e) -1 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29416.\nAnswer: 2, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + sqrt(17)*-1 + 0 + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.7878388 to one dp.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from lolooooollooololllll.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 334 + -322. Suppose 12*w + 0 + f = 0. Is w not equal to -3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/(-18447)*-39 - (-8)\/(-11)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 7*f - 2*f - 3*p, f + 4*p = 37. Suppose 0 = 5*v + 101 + f. Let c be v\/4 + (-4)\/8. Which is bigger: -6 or c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, x: 4}. What is prob of picking 4 p?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11725 + 11821. Let r be 0\/(-1 + 3\/1). Suppose 3*w = 2*w, i - w - j = r. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -175\/307632 and 83\/50759280?\nAnswer: 50759280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*n - 3*z, -4*z + 19 = -2*n - 9*z. Let x be n\/4*(-5 + 3). Solve -3*l = i + x, -l = -2*l - 4*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 29202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6881 is divided by 205.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 2, 38, -2 in descending order.\nAnswer: 38, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 16296 and 16296 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004106113572 rounded to seven dps?\nAnswer: -0.0004106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 4. Let k = 2 + 1. Suppose 2*s + 3 = k*s. Suppose -s*b + 4 = z + 3*z, -28 = 4*b - 3*z. Give t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrwwwrrrr.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i + 2. Give o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*v**3 + 10*v**3 + 22*v**3.\nAnswer: 123*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 23*o**2 + 65*o + 82. Calculate q(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*r + 3 = 7*r, 2*r - 47 = -3*d. Solve 5*q = d + 12, -m = 5*q - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 + n**2 + n - 2. Calculate d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 + 9*u. Let f(m) = 4*m**2 - 5*m - 3. Let b(y) = 7*y**2 - 8*y - 5. Let t(p) = -3*b(p) + 5*f(p). Determine r(l) + 5*t(l).\nAnswer: l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1)**2*1.\nAnswer: -22*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 125467824*z**2 - 501871272*z + 501871264.\nAnswer: -2*(z - 62733908)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6*x = 2. Let v be (2 + 1 + x)*(2 - 1). Solve v*y = 8, 3*z = y + 4*y - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 437 (base 13) to base 12\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12692887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*o - 157*o - 70*o + 29 to the form p + z*o and give z.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 - -102. Let j = -644 - -603.9. Let q = h - j. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 16) + 1 + (-11)\/(-3). What is the nearest to m in -0.4, 0, -2\/7, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c + c)*(c**2 - 3*c**2 + 9*c**2) + 0*c**2 + c**3 + 0*c**2.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 3*f**2 + 5*f - 3. Let j be s(4). Let p(z) = -z - 3. Let g be p(-6). Let r = -11 + 11.4. Which is the nearest to j? (a) g (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s. Let c be 4\/(2 + 1 + -2). Let f be k(c). Let y = -13 - -29. Calculate the highest common divisor of y and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318280 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44604959.\nAnswer: 7, 53, 251, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/((z*z*z**(9\/2))\/z)*((((z\/z**(-7))\/z)\/z)\/z)\/z**(-20))**(37\/3) assuming z is positive.\nAnswer: z**(1369\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42644 divided by -1523?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9112152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 28 = 2*b. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-72)\/12))\/((-2)\/(6*6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2832*u + 25. Let y be b(-9). Let o = 1071667\/42 - y. What is the common denominator of 63\/4 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27788 and -1?\nAnswer: 27787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 = v, -3*p + 4*p + 2 = -v. Let w = p + 9. Find the second derivative of -3*u - 10*u**2 - u + 6*u**w - u wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*t = 1408*t - 114000 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -5 (c) -1 (d) 4 (e) 59.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/172, -2\/17, 0.07, -1, -0.04?\nAnswer: 3\/172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3. Let u(a) = -17*a - 21. Let f(y) = s(y) + u(y). List the prime factors of f(-26).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 15506920 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 4. What is the highest common divisor of y and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 17 = 5. Suppose -4*w - 7 = -c. Let b(u) = -36*u**3 - 2*u**2 - 4*u - 2. Let d be b(w). What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-3))\/(2\/1)*(-539)\/231\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 175 = -3*h, -4*m + 328*h - 651*h + 324*h - 69 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(570)\/sqrt(160))\/(sqrt(300)*-1*-5 + sqrt(300)).\nAnswer: -sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52.3 and -0.04.\nAnswer: 2.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 7*x**2 + 5*x - 7. Let l be b(-8). What is the first derivative of i - 12 + l - 7 wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -368 - -368.94. Let b = -0.06 - m. Is -2\/361 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48873864 divided by 21268?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 99, 144, 205, 288?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 579368.2 litres?\nAnswer: 579368200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (327*3\/(-15))\/((-9)\/45). Let v = -170 + n. What are the prime factors of v?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 36*c - 100. Let g be z(-33). Which is smaller: 6\/299 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let d(f) be the third derivative of f**4\/3 - 12*f**2. What is d(q(l))?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p + 5032 = -1381. Calculate the remainder when 239 is divided by p.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600261 (base 12) to base 4\nAnswer: -11230211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:36 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 3. Is 12 a factor of (276\/9)\/(k\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47891, 47759, 47627, 47495?\n\"Answer: -132*y + 48023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let u be ((-10)\/15*-9)\/(9 + -7). Let j(b) = 292*b - 587*b + 296*b + 14 + u. Give j(n(c)).\nAnswer: 2*c + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30198 * -6238\nAnswer: 188375124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(2\/35))\/(i*i**(-12))*(i**(-17)*i)\/i**21)**(-40) assuming i is positive.\nAnswer: i**(6704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 14*a - 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + -58 - (-25 + 15).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from ewwwew?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15634.1 + -15634. Let g be 0 + (-6)\/(0 + -1). Let s be (g\/(-20))\/(2\/4). Which is the closest to -2\/5? (a) s (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:43 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c**2 - 62*c + 12. What is the units digit of w(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737 is divided by 189.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 4. Let g be l(7). Let i(p) = 405*p + 0*p**3 - 406*p - 3 + p**g. Determine i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14836737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - y**3 + 71*y**2 + 0 - 73*y**2 + 3.\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.2, 1.41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/91 in 0.5, -0.1, -2, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -2.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 4*f = 9*h - 1162, 4*f = 8. Is 78 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422528, -845008, -1267488, -1689968?\nAnswer: -2112448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7. Let f(c) = -10. Let i(d) = -5*f(d) - 7*s(d). Let p(w) = -w - 3. Let o = 8897 - 8895. What is o*i(g) + p(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 892633.3 weeks?\nAnswer: 8997743664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 143?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9262 and 173452?\nAnswer: 1907972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -1676, 170.4 in descending order.\nAnswer: 170.4, -1\/5, -1676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**3\/6 + 5*v**2 - v. Let o be k(-10). Which is smaller: -0.2 or o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 - -75.5. Let o = -4.36 - p. Let k = o - 1.72. Round k to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44200 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12580*l - 2323*l + 102570 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-7 - -6)\/(-4)))\/((-318)\/3657)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**14\/(((z*z**(-4)\/z*z*z)\/z*z)\/z) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -2.2 (b) 1\/56 (c) 0 (d) 2\/9 (e) -141 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 530 = 40*b - b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83.85 - 84.05. Sort -1\/2, -1\/18, -2, 0.5, u in decreasing order.\nAnswer: 0.5, -1\/18, u, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -287866 > -287864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 446292 and 1863?\nAnswer: 4016628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(9) + sqrt(9)*-3) - sqrt(350)\/(sqrt(7)*-2))\/(-1*1*sqrt(1960)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*a = 11, -4*n - 4*a = -3*a - 11. Find the third derivative of 16*o**2 + 332*o**n - 332*o**3 - 6*o**4 wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5057, 10220, 15383, 20546?\n\"Answer: 5163*c - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 2*z**5\/15 + z**4\/6 + 67*z**3\/6 - 50*z**2. What is the derivative of d(x) wrt x?\nAnswer: 16*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*v + 84, 76 = 4*m + 35*v - 33*v. Let g be -1*4 + (-826)\/(-7). Calculate the greatest common factor of g and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70207500 rounded to the nearest one hundred thousand?\nAnswer: 70200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 248912.73ms?\nAnswer: 0.002880934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 6543786\nAnswer: 2\/1090631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -507.81297 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*r + 5*k - 17 = 314*r, -3*k = -4*r - 1 - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*x - 4 + 2 + 365*x + 2.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10*17\/(-340))\/((-9)\/(-6)). Let f = 5.4 + -5. Which is the closest to -4? (a) -1 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -65, -160, -331, -602, -997?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 f when three letters picked without replacement from {h: 5, f: 11, c: 1}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -5, -1, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + k = 3*k + 432, 0 = -3*k + 6. Suppose 3*w - t = o, 2*w - 4*t - 20 = 66. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/4 (b) 4 (c) -15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52203.85953 rounded to the nearest one thousand?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1367?\nAnswer: -1367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaa when three letters picked without replacement from {w: 1, g: 1, a: 3, x: 1, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3) + 1 + -3. Let p = u + 1. Let g = 6 + p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1004 - 1004. Solve y = 4*k - 0*k - 3*g - 16, k - 13 = 3*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 37*b + 37*b - 3*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -43699, -0.4, 1, -1760\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 + 13934832*d**2\/7 + 55739352*d\/7 + 55739360\/7.\nAnswer: -2*(d - 6967420)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3420 = -5*x - 119, x - 668 = 2*k. Suppose -8*s - 2*p + 1655 = -3*s, 4*p + x = 2*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42150052 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/673586?\nAnswer: 3\/673586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 112*f**2\/11 + 782*f\/11 + 672\/11.\nAnswer: 2*(f + 1)*(f + 7)*(f + 48)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:35 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y + 90. Let w be q(-9). Calculate the highest common divisor of w and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/2*16\/(-6). Suppose -3*h + 5*x = -16, 4 = -5*h - x + w. Solve -2*t - h*t = -u + 2, -2*t - 2 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6971, -2, -4\/7, 3\/5?\nAnswer: 1\/6971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/106506 and 151\/1746.\nAnswer: 106506","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/201 in -0.5, 3, -0.915, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-5)*-1*25\/10. Let q(g) = 14*g**2 + 5*g + 7. What are the prime factors of q(t)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/5 + 14\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6026285?\nAnswer: 5, 1205257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -2814.\nAnswer: 168.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -94*k - 50. Let n be f(-5). Suppose 5*w - 519 = -c, 0 = -4*w + 2*c - 4*c + n. What are the prime factors of w?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Let z be 18\/c + 4\/(-8). Suppose -6 = -r + 3*x, -3*r + 0*r - 2*x = z. Solve r*b + 4*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 31 - (-141 + 97).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00991824812 to six dps.\nAnswer: -0.009918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 250 = -w. Suppose -5*z - 5*p = -w, p + 20 - 5 = 4*z. Suppose -z*s + 24 = -1, 0 = -3*j + s + 34. Calculate the greatest common factor of j and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {v: 5, r: 1, b: 3}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90971 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**3 + 6*z**2 - 11*z - 2. Give r(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 756.5 + -757. What is the biggest value in 9\/5, l, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*k + 82*k - 156*k = 2*p - 18, 3*p + 6*k = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -12*w - 6. Let n be ((-51)\/255)\/(2\/10). Calculate d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let j(u) = -37*u + 71*u - 45*u - 5. Let b(x) = -78*x - 33. Let n(w) = -4*b(w) + 27*j(w). Calculate n(d(s)).\nAnswer: 15*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/508 + -15505\/5588. Calculate the common denominator of (2\/16)\/(7\/(-238)) and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -48. Let y = 78 + h. Suppose y = g + 37. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -76\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -5, -0.07 in increasing order.\nAnswer: -5, -1.1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u + 12*u**2 + 48*u**2 + 3 - 11. Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3024 and 7643.3.\nAnswer: 4619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.69 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45\/22 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g**2 + g - 1. Let l(z) = -13*z**2 + 3*z - 10. Let b(x) = -l(x) + w(x). What is b(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*g\/g**(-2\/17))*g\/(g**0\/g)*g)**(-2)*(g**1)**(-1\/7)\/(g**2*g**(-6)) assuming g is positive.\nAnswer: g**(11\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*n + 0)*(52*n - 36*n - 48*n + (-2 + 3 + 1)*(2*n - 2*n - 3*n)) as x + a*n**2 + u*n and give a.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319 and 4031?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 24*g**2 + 56*g - 114. Let u(s) = 5*s**2 + 11*s - 23. Let z(w) = -2*p(w) + 11*u(w). What are the prime factors of z(9)?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/8 - 9\/(-12). Let c be 17\/o + 4 + -1. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242373493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 392 = -3*c - 353, 2*v = 5*c - 0 + 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*k - 1209 - 6190 + 951 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -457 + 0 - (-63 + 61). What is the common denominator of (-1 - (-4)\/(-2)) + o\/56 and -30*((-265)\/268 - -1)?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270979 - 321*p + 270979 to j*p + t and give j.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -6 - -1)*(6 + -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43233713507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*v = 11622 + 15747 - 23392 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475228981 and 9518?\nAnswer: 4759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*11\/((-33)\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 289*k - 83521\/2.\nAnswer: -(k - 289)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -213*o**2. Let a(n) = 198*n**2. What is z(a(w))?\nAnswer: -8350452*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 104941244.\nAnswer: 1\/104941244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10120111133 (base 4) in base 7?\nAnswer: 12521453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26576 and 4682359?\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21946193 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2519566 (base 10) to base 11.\nAnswer: -1470a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2782 and 13?\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/20 + 1 + 86\/8. Solve -4*k - j = -7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**8))\/(v**12*v*v)*v**7*v*v**(-2\/17) assuming v is positive.\nAnswer: v**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -75 + 21. Let b be 9\/x*1*-1. Let h = 2\/893 + -1816\/13395. Sort b, h, -0.02 in descending order.\nAnswer: b, -0.02, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 3546.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 1. Let u = 412 + -408. Suppose -2*a = n + 2 - 11, -12 = u*n. Let k(x) = -x. Calculate a*k(s) + g(s).\nAnswer: -10*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1199160 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -458530.7 plus -0.5?\nAnswer: -458531.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.5, 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -49 - 128. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.027?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4326 divided by -4\nAnswer: -2163\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -0.1756713.\nAnswer: -0.3756713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 2*o**2 + 2*o + 3. Let g be s(-2). Let q = 4.57 + -0.57. Sort g, q, 0.1.\nAnswer: g, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 + 2800*w**2 + 191935*w + 550470 = 0 for w.\nAnswer: -59, -3, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + -1*sqrt(720) - (sqrt(720)*-1 + sqrt(720))*-2)**2 + -2)*-6.\nAnswer: -4362 - 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8989549.\nAnswer: 17, 47, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.63 + -4.37. Which is the third smallest value? (a) -18 (b) j (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 146\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 4*l**3 + 3 + 2*l**3. Let h(d) = 2. Let o(g) = -5. Let i(p) = 3*h(p) + o(p). Calculate -3*i(z) + n(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17586?\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -11001110?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(-2902)) - (15 - 11). Suppose 0 = 1452*h - n*h. Solve 10*l - 12*l + 4 = h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 2469*x**2 - 2*x - x**3 - 2472*x**2 + 8*x to o*x + q + k*x**3 + f*x**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/7 bigger than -380129.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*d**3 + 108*d**3 + 103*d**3 - 404*d**3 + 108*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1426727 and 11212?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -19*h**2 + 8*h + 1. Let k(p) = 35*p**2 - 15*p - 2. Let n(u) = -11*a(u) - 6*k(u). Determine n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -446 - -450. Which is the closest to -1? (a) 0.3 (b) x (c) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-100)\/(-24))\/(93\/(-31)) and -61\/636.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(60\/14456))\/(20\/(-50))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/27 and -32\/2991.\nAnswer: 26919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (sqrt(192) + 4 + sqrt(192)*6) - sqrt(192))**2.\nAnswer: 448*sqrt(3) + 9424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from iigigjjjjig?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -8)\/(9\/(-42)). Suppose -2*a + b = 5*r, -3*a - 4*r = 2*a - 36. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*t + 49 = 70, t + 8 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 168*x**3 + 2*x**2 - 92*x + 682?\nAnswer: 504*x**2 + 4*x - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*z**2 + z - 5*z + 16*z - 10*z - z to d*z + j*z**2 + m and give j.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:15 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1988, -4073, -6150, -8213, -10256, -12273, -14258, -16205?\n\"Answer: o**3 - 2*o**2 - 2086*o + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 2. Let n be i(-6). Suppose n*u = 9*u - 40. Suppose -u = -3*p - 2. Solve p = 2*o - m + 10, 3*m = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-252)*12 + (-4526)\/14. Let q be (-1 - (-2)\/2) + (-38)\/a. Factor q*o**2 + 10\/17 + 12\/17*o.\nAnswer: 2*(o + 1)*(o + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -8, -1684 = -4*w + 2*a - 6*a. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2016*m - 16119. Let c be j(-8). Let a(u) = -11*u**2 + 3*u + 16. Let h(g) = 5*g**2 - 2*g - 8. Let q(v) = -4*a(v) - 9*h(v). Give q(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 934 divided by 21330.\nAnswer: 467\/10665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 19 + 2. What is the remainder when 97 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 + 2*j**2 - 4*j. Let g = -15 - -21. Let h(a) = a**4 - 30*a**3 - 11*a**2 + 23*a. Let u = -1539 - -1573. Let v(i) = g*h(i) + u*m(i). Factor v(l).\nAnswer: 2*l*(l - 1)**2*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.3 + -8.6. Let u = f + -0.7. Let t = 0.08 + 2.92. Which is the nearest to u? (a) t (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4312 - -1250?\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 312156, 312196, 312248, 312312, 312388, 312476?\n\"Answer: 6*y**2 + 22*y + 312128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/3)*-2. Suppose -55*q = -54*q + 6. Let p be ((-2)\/(-14))\/(3\/q). Which is the nearest to p? (a) g (b) 2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757822823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1954, -3903, -5852, -7801?\n\"Answer: -1949*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*((-2 - 1 + 1)*(0 + 0 + m) + 0 + m + 0 - 1 + 1 + 2*m + 2 - 2 + 3*m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*c**3 + 6274*c**3 + 758*c**3.\nAnswer: 6184*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1291 - 1020.3. Let u = v + -271. Which is the nearest to 2\/7? (a) -4 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 21 - -60) + 19.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -88. Let z(v) = 62*v - 13. Is z(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f - 2*f + 4*f)*(0*f + 0*f + f) + 4*f + 1267065 - 3*f - 133*f**2 - 1267069 in the form p*f + a*f**2 + j and give a.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 7. Let p(t) = 13*t**2 - 14*t + 872. Let s(r) = 28*r**2 - 29*r + 1889. Let q(z) = 13*p(z) - 6*s(z). Determine q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s - 44. Calculate v(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4824, -4848, -4872, -4896?\nAnswer: -4920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953455?\nAnswer: 5, 41, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - 5 - -66) + 18.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 + 4*f + 3. Let b = 85 - 54. What is the remainder when b is divided by q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/102, 4, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 0, 1212 in descending order.\nAnswer: 1212, 98, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 99396.1 - 99396. Let r(s) = -4*s. Let b be r(-1). Sort b, i, -3\/5.\nAnswer: -3\/5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1\/5, -0.3 in descending order.\nAnswer: 62, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 230*g**3*j**2 + 16*g**3 + 272*g**2*j**2 + 2*g*j**2 - 92265*j**2 + 3*j - 1 wrt g.\nAnswer: 1380*g*j**2 + 96*g + 544*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 301088 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2) + (1 - 0). Suppose 0 = -0*g + 4*g - o*j - 1208, -2*j - 1498 = -5*g. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 48. Let f be l(25). Suppose -24 = -4*b + f*x + 2*x, 2*x = -2. Suppose 5*i = -4*g - 0*i + 97, -b*g - 5*i + 120 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -12. What is the first derivative of -k*q - 7*q + 2*q - 4 wrt q?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/24 - 1*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.5 and 346.\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -5, 2, 23, 64, 131, 230?\n\"Answer: g**3 - 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -37*j - 156. Let a be x(-13). Suppose 0 = 57*d - 32*d - a. Calculate the greatest common divisor of 273 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-15)*2\/(-6))\/((-73)\/(-1095))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84766.\nAnswer: 2, 11, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 29 = -5*d, -d + 29*y - 33*y - 4 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103020 - 12123?\nAnswer: -121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/20 + 7*v**4\/6 + 5*v**3\/2 + 13*v**2\/2 - 71*v. Is f(-8) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -o + 6, -4*x = -407*o + 402*o + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 6245 - 1465. Let w be n\/6 - 5\/(-15). Let t = -82 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -z + 4*v, -2*v = 3*v - 20. What is the highest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-524)\/(-20))\/(6\/15). Let k = q - -78. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2263\/85361 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 479 + -481. Let w = 5.9 - 0.9. Let m = 4.5 - w. Which is the smallest value? (a) y (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2632 divided by -14591.\nAnswer: 2632\/14591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/33 + (-2)\/44?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - s - s**2)*(-2*s**2 - 2*s**2 - 3 + 2*s**2) - 2535 + 18*s**4 + 1273 - 3*s + 1271 in the form v + x*s**2 + n*s + b*s**4 + h*s**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 641 = -281. Solve -s*u - 2 = -14*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 95748534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10649.969986 - 10650. Let z = d - -0.03. Round z to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/((y*y**(-2\/3))\/y*y))))**40*(y*y**(-1))**(2\/125) assuming y is positive.\nAnswer: y**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31735 - -66156. List the prime factors of k.\nAnswer: 34421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 22692729.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 366 - -887?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26038559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -722*w + 1250*w + 1237*w to the form y*w + d and give y.\nAnswer: 1765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000287 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 6*d**2 + 4*d - 2. Suppose -b + 5*b - 4*y = -84, 2*b + 2*y = -54. Let k = b - -29. Determine n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7, -1, -4, 3.32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Let c = -10 - -9. Sort m, c, -4 in decreasing order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 3*l - 112. Let t(f) = -18*f + 154. Let s be t(l). Which is the second biggest value? (a) 3\/7 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2d (base 16) to base 12.\nAnswer: -17a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/562000 and 101\/97200.\nAnswer: 136566000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1321586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -140944, 2, 0, 22 in ascending order.\nAnswer: -140944, 0, 1, 2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -790.4 * -36350\nAnswer: 28731040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkaaadk. What is prob of sequence kd?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86405 is divided by 221?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 304814701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*q + 393207, -57*q + 62*q = v - 78663. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*p**4 - 3*j*p - 67*j + 16234*p**4 - 982 with respect to p.\nAnswer: 12*j*p**3 - 3*j + 64936*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 204*w - 3328.\nAnswer: 4*(w - 64)*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1246\/(-4))\/(32\/(-64)). Suppose -235 = 13*g + l. What is g rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 b, and 1 h when four letters picked without replacement from qluhqlhbhbullubhuuua.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157132520.\nAnswer: 2, 5, 3928313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {h: 5, y: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 298*y + 5 - 295*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 27. Let u be i(-18). Let w(c) = -5*c - 18. Does 9 divide w(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1210441 (base 5) to base 16\nAnswer: 585d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36737*m + 73476*m - 36736*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.8325705 to 2 dps.\nAnswer: 133.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 0*z**2 - 4*z**2 + 11*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-3))\/((-29)\/(-4350)*40)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-164)\/(-12) + (-4)\/(-12). Suppose -7*y - 4585 = -i*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 41000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1124*x + 2314*x**2 - 4276*x**2 - 394*x - 1285*x**2 wrt x?\nAnswer: -6494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-660)\/(-8))\/55*6*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -59\/2. Let a = 0.08 + 0.14. Let z = -0.08 - a. Put i, -3\/4, z in decreasing order.\nAnswer: i, z, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 5*s - 28. Let o be p(7). Let m be o\/(-3) - (-35 + 39). Let q = 2.1 + -1.7. Which is the closest to m? (a) 0 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -437711 - -152?\nAnswer: -437537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, 21, 0.13, -0.1 in ascending order.\nAnswer: -5, -0.1, 0.13, 0.4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17776108301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32441553 (base 6) to base 11.\nAnswer: 602720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + 0 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 1. Let w be a(1). Let d(n) = n**3 - 5*n**2 + 3*n - 3. What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 - 3. Let c = a - -91. Solve o + 3 = -c*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -98800*q - 2. Let j(m) = 2*m. Determine j(y(o)).\nAnswer: -197600*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 174221406.\nAnswer: -174221406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-21) + -1*3\/21. Is 1\/(-4*q\/8516) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292643.3479 rounded to the nearest 10?\nAnswer: -292640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 497 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*b + 20, -2*b + 638899*w = 638894*w - 29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvqvvqpqpvv. What is prob of sequence vvqp?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04568 in -5, -732\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 2, -298, 290 in descending order.\nAnswer: 290, 13, 2, -3, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 258 - -94\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -486, -80, 1036, 3216, 6814, 12184, 19680, 29656?\n\"Answer: 59*b**3 + b**2 - 10*b - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 995*t**2 + 13*t + 10. What is the lowest common multiple of g(-1) and 128?\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 889 - 155 + 6*c - 577 - 157.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 6:13 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 5. Let k be v(5). Let y be k\/(-10)*0\/2. Is 28 - (0 + (y - -2)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 5*r - 36. Let j be i(4). Suppose -b + 1733 = 5*a - j*b, b + 343 = a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 420443103011?\nAnswer: -420443103001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 + 3\/2. Let p(g) = 6*g - 2*g**2 - 5*g + g**3 - 4*g. Let u be p(3). Is r greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215912951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 8, -20, -90, -220, -428, -732, -1150?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5055354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 2. Let v = -101 + 89. Let r be c(v). What is the highest common divisor of r and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/13*o**2 + 4\/13*o - 2\/13 = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i - 143*i + 60*i + 28 = 0. Put 8, 1, i, 4, -5 in decreasing order.\nAnswer: 8, 4, i, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {s: 1, v: 6, u: 2, g: 3, j: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14401 (b) 1\/4 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250045053 to the power of 1\/3, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12657028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 8*a**2 + 4*a - 16. Suppose -5*v + 4*m = -6*v - 27, m = 4*v + 23. Let n be z(v). Solve n*y - 15 + 10 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 639 (base 10) to base 7\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 6095 + 6075 = 5*q, 4*q = -5*y - 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 9 = -4*k, -k = -160*s + 155*s - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrrrbbrrwrrrwrwrrrr. Give prob of picking 2 w and 1 r.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4369, -4510, -4651, -4792, -4933?\n\"Answer: -141*p - 4228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 equal to 2120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657587759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 249711?\nAnswer: 249711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.605, 0.0387, 13\/2?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 - 35*y**2 - 145542*y + 145540*y to the form u*y**2 + g + b*y and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10941085 is divided by 32370.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1881 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s**3 - 4*s**3 + s**3)*(2 - 1 + 0)*(-s + 1 - 1)*(-1 - 4 - 1) to the form x + g*s + u*s**2 + m*s**4 + v*s**3 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i - 264. What is a(-14)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8219 + -8207. Calculate the greatest common factor of 222 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*d + 3529 - 7112 + 3539 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - p + 3*p)*(-256 - 10*p**2 + 256) + 2*p**2 + 3*p**3 - 2*p**2 - 2*p**3 - p**3 + 2*p**3 to the form a*p + y*p**3 + o*p**2 + s and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*j*x + 501*j + x wrt x.\nAnswer: -13*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 12*v**2 - 32*v + 25. Let w be n(-7). Let s(q) = q**3 - 5*q**2 - 7*q + 6. Let r be s(6). Put -5, w, -1, r in descending order.\nAnswer: w, r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + k = 17, 2*k + 0*k - 10 = -2*d. Let c(x) = 4*x**2 + 15*x + 6. Let y(n) = 1 - 2 + n**2 + 5*n + 3. Let w(p) = -2*c(p) + 7*y(p). Determine w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*l = -2565*l + 86989 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 143891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(2 + 1 - 1) + (0 - 1 - 7)*(4 - 3 + 1) - 1 - 3 + 2)*(0*y**2 - 2*y**2 + 4*y**2).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6335136 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p**2 - 41*p - 43*p + 83*p - p**2 to the form z*p + d + n*p**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/59? (a) 5 (b) -3\/26 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-98)\/(-21))\/((-15)\/(-20)) + -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d**2 - d. Let p be 4\/1*1\/(-2). Let o be c(p). Calculate the least common multiple of 3 and o\/(-7) + 4\/28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + -2*sqrt(190))\/sqrt(10) - (1 + sqrt(1216))**2.\nAnswer: -1217 - 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1421 - -14?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287 - 260. Let f = 101 + -25. Calculate the remainder when f is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/4 - 23*m**3\/3 - 8*m**2 - 90*m + 104. Does 3 divide a(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 83\/4. Let j be (1\/2)\/((-2)\/8). Put j, d, -0.1 in ascending order.\nAnswer: j, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1173959766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*d = -18, -4*r - 1 + 11 = -5*d. Let y = 32 + 1. Let p(x) = x**2 - 12*x + 16. Let s be p(11). Solve -2*n = r*i, 3*i + i = s*n - y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (55 + (-32652)\/540)*6\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 - u**5\/12 - u**4\/24 + u**3\/3 + 29*u**2. What is m(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 158 - 172.5. What is l rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 3710?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 11467.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/24 and -67\/1680?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 860367 divided by 216?\nAnswer: 286789\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 - 103*d**2 - 35*d - 102. Calculate g(-34).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 7131.35421.\nAnswer: 7133.35421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 88. Suppose -b*g + 5 = -15. Let o(f) = -3*f + 128 - g*f - 127. Calculate o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6352320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8998125 to the power of 1\/2, to the nearest integer?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1337 divide 5808987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**3 + 3*i**3 + i**4 + (-i + i + i)*(792*i + 76*i**3 - 792*i) + 0*i**3 + 0*i**3 + 2*i**4 to the form z*i + r*i**3 + f*i**2 + q*i**4 + t and give q.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10561 = 66*a - 11485 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n + 1. Let m be t(2). Let l = 24 - m. Let a be (154\/4)\/((-1)\/(-2)). Calculate the greatest common factor of a and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 920*f**5 - 113*f**4 - 702874*f?\nAnswer: 18400*f**3 - 1356*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1231*q**6 + 214*q**2 wrt q?\nAnswer: -147720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/19401 greater than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -442041*d**2\/2 + 21*d.\nAnswer: -3*d*(147347*d - 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -1 - (sqrt(270)*2)\/sqrt(6))*2)**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-5)\/(-4) - 102\/(-8). Suppose -4*d + g - 3*g = -92, 5*d + 5*g - 110 = 0. Calculate the highest common divisor of u and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -231.\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 390 (b) 0.154 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/12 + (-1 - -2). Solve z*a - 2 = 4*t, -6*t - 1 = -3*a - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*o**4 - o**2 + 638*o wrt o.\nAnswer: 972*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424.322um in kilometers?\nAnswer: 0.000004424322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 16 + 20. What is the common denominator of 91\/8 and (-1700)\/(-288) - 4\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/4)\/((-6)\/(-12)). Suppose 0 = -v*c - 5*t + t, 0 = -c - t. Solve 5 = -p - c*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 25 - 39 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7342519773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + (sqrt(363) - sqrt(363)*-1)*1)\/(sqrt(33)\/sqrt(12)))\/(((sqrt(363) - (sqrt(363) - (sqrt(363)*-1 - sqrt(363)))) + sqrt(363))*6*-3).\nAnswer: sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2. Let p(f) = 2*f. Let c be p(4). Let r = 13 - c. Let j(v) = -5 - 6*v + r + 4*v. What is j(n(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2, 22, -1, -180 in decreasing order.\nAnswer: 22, 2, -2\/9, -1, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/378 and 2 - 3*(-282)\/162?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/16 and 2\/(-7) - 850\/308?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Suppose -29 = v - 13. Let a be -1*(v\/4 + 1). Suppose -3*g = -3*f - a, 5 = 3*g - 4. Calculate c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 20 = -0. Let o = x - -4. Let g(n) = n**2. Give g(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51097651 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 302947 and 133061.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w + 4. Let u be 2\/(-3 + 5) + 3. Suppose -2*t - w = -u*t. Solve -3*v = -2 - t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 410501 - 410501 + 785*s**3 - 1645*s**2 + 138*s**3 wrt s.\nAnswer: 5538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 - (-1 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94511881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*q = 25*q + 171 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 1, f: 1}. Give prob of sequence lz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1652719604 to the nearest integer?\nAnswer: 40654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 2, 0.2, 8\/25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*m + 6 = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2774881285?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15711 and 20948.\nAnswer: 62844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*v = -2936*v + 239573 for v.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 77.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-67)\/5*90\/(-18)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1900) - (-2*1*sqrt(1900) + sqrt(1900) + sqrt(1900)) - 2*sqrt(1900)*-1 - (-1 + sqrt(1900) + -2 + 6*(sqrt(1900) + -1)))**2.\nAnswer: -720*sqrt(19) + 30476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 214031.94 months in centuries?\nAnswer: 178.35995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -77.6 and -6?\nAnswer: 71.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64823 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 37*k**2 - 42*k - 8. Determine l(3).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 245 = -5*b, -8507*b + 8512*b = -2*a - 55 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*r + 27 = 0, 11 + 7 = 5*m + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000222618254 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -0.05.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 2 = -16. Let w(d) = d**3 + d**2 - 2*d - 1. Calculate w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*d - 126 = -6*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 4188*r + 12554. Let h be c(3). Suppose -5*d = 0, a + 4 - 76 = -4*d. What is the highest common divisor of h and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18966 or -19173?\nAnswer: -19173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2562 (base 10) to base 7\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 389576.\nAnswer: 389576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.42 - 1?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/8)\/1*-4. Let y be (-47)\/h - (-2)\/9. Let t(b) = -b**3 - 5*b**2 - 5*b - 7. What are the prime factors of t(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-560)\/(-14))*-1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 8*l + 2. Let t(o) = -63384*o**2 + 295792*o + 73948. Calculate -36974*d(a) + t(a).\nAnswer: 10564*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6378611 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -12*b + 300. Suppose 2*c + 4*c - b = 0. What is the greatest common divisor of c and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/(9306\/(-36))*(-2 + -2).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 1496*y - 279752.\nAnswer: -2*(y + 374)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -4 - -5) + (10 - 12) - -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 52.8.\nAnswer: -53.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**3 + 318*p**2 + 14*p**3 - 156*p**2 - 162*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 130*c - 505. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 12. Let p be s(-12). Let o be (p + 3\/6)*0. Which is greater: 2\/57 or o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-198*k + 840*k - 154*k)*((4*k - 5*k + 2*k)*(-2 - 2*k + 2) + 6*k - 6*k - 2*k**2) as q*k**2 + x*k**3 + t*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-4)*(-26)\/117*3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -47*r. Let o(b) = 176*b + 11. What is -o(p) - x(p)?\nAnswer: -129*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 18*k + 1200. Let b = k - 742. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/((-5)\/(-10)). Suppose 0 = -0*l - 3*l + 12. Let j(q) = -7*q + 1. Let h(k) = -15*k + 3. Let u(x) = l*h(x) - 9*j(x). Give u(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*j - j. Suppose j*w - 5*r + 6 = 0, 9 - 31 = 5*w + r. Let d be w\/6*18\/(-4). Solve -13 = 5*x - d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i = -100. Suppose -w + i = v - 29, w = -2*v + 48. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - -0.05. Let y = -0.8 - -3.8. Let m = -0.057 + -0.043. Which is the second biggest value? (a) z (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 549903 divided by -148.\nAnswer: -549903\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 294?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/35 - (-46)\/(-112). Let v = 85731 - 85731. What is the fourth smallest value in 2, 6, v, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3471 and -65\/4272.\nAnswer: 55536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, -118, -508, -1054, -1756, -2614?\nAnswer: -3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 29*g**3\/6 - 17*g**2\/2 + 2*g. Let u(m) = -6*m - 4*m + 4 + 2. Let l(c) = -6*i(c) - 17*u(c). Let b(z) = 2*z. What is b(l(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 300210?\nAnswer: -300223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbfhhqhqhuhq. What is prob of picking 1 b, 1 h, 1 f, and 1 u?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*d + 35237 = 28229 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40440410 + -1101?\nAnswer: -40441511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - m + m + 2*m + 3*m - 3*m + (1 + m - 1)*(3 + 3 - 4) - m - 1 + 1 - 3*m - m + 3*m + 3*m + 10 - 10 + (-2 - 3 + 4)*(-2 + 2 + 2*m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k**2 + 1. Let q(o) = 84*o + 2. Determine v(q(t)).\nAnswer: 105840*t**2 + 5040*t + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 3*q**2 - 7*q + 3. Let o be (0 + 1)*10\/(-4)*2. Let j be p(o). What is the second biggest value in j, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 759.474 + -36.\nAnswer: 723.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2 + 3*c - 24. List the prime factors of l(6).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 10*k + 28. Let o be z(-7). Solve o = -7*h - 1 - 34 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 526, 537, 552, 571?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 - 29. Calculate the highest common factor of d and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -13422 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2551 and -3.\nAnswer: -3.7653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3951.1 + -4456. Let l = i + 505. What is the nearest to -0.1 in l, -3, -1\/3, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -5, 0.3, -1.5, -0.08 in increasing order.\nAnswer: -6, -5, -1.5, -0.08, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -693 + 719. Suppose -v*u - 27*u + 2385 = 0. What is the highest common divisor of 72 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 3*s. What is the first derivative of 35 - 9 - 23*k**s + 16*k**2 wrt k?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 772*h**2 - 2280*h.\nAnswer: -4*h*(h + 3)*(h + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haa when three letters picked without replacement from {x: 3, h: 3, a: 3, e: 4}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -335*k**3 + 338*k**3 - 20*k**4 - 2*k + 0*k - 6*k**4 as s*k**3 + w*k + n + x*k**4 + z*k**2 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 704, 4, 4\/7, -0.5?\nAnswer: 704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 15*y**2 - 10*y + 2. Let b be k(4). Let x = b + 338. Suppose 0 = j - 5*j + x. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/(-231) - ((-175)\/(-385) - 1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3309382157 and 2183?\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 8 - (38 - 21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -17\/3 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0 + -9 + 8. Suppose 2*t + 5*j + 22 = 3*t, -3*t + h*j = -118. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 - 1143*r**3 - 1152*r**2 + 2292*r = 0. Calculate r.\nAnswer: -2, 0, 1, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (3 - 2)\/(-1). Let m(g) = 6*g. Let j be m(z). Let i be (-483)\/(-4) + j\/16. What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 3 + (8 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285004909?\nAnswer: 35797, 35897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r**4 + 0*r**3 + 6 + 0*r + 4\/5*r**5 + 7\/2*r**2. Find the second derivative of f(s) wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from gmgmmmmmgmmmmmmmmg?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a4220 (base 12) to base 11.\nAnswer: -1116973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/40 - w**4\/12 + w**3\/3 - 4*w. Let o(x) be the second derivative of d(x). What is the derivative of o(l) wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(-2 + 0 + 4)*(-10*i + 6*i + 2*i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 14. Let k be g(-3). Suppose -z - 89005 = k*q, 2*q = -q + z - 53395. What is q rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/90 and -103\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 147\/2 (b) 1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 854*p**2 - 5 + 8 - 1319*p**4 - 920*p**2 wrt p?\nAnswer: -31656*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*a + 41, -5*x = -0*x + 3*a + 43. Let i be (-4)\/(-9) - (-205)\/45. Put x, 0, i in descending order.\nAnswer: i, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 217, 808, 1775, 3118, 4837, 6932, 9403?\n\"Answer: 188*g**2 + 27*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)\/((-25)\/2). Let k = -0.9422 - -0.6422. What is the closest to k in 2, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -116*s - 28310. What is w(-244)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*w - 2426 + 1601 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l**2. Let x(b) = -3*b**2 - b - 9700. Give x(v(k)).\nAnswer: -243*k**4 - 9*k**2 - 9700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*i + 72, 5*i - 23261 = -3*x - 23168 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/3839 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*a + 92*a - 21*a)*(2*a**3 - 2 + 2) + (-a**3 - 3*a**3 + 3*a**3)*(19*a - 82*a + 31*a) to b*a**4 + m*a**3 + j + o*a**2 + g*a and give b.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -73, -9 in decreasing order.\nAnswer: 4, -9, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4\/4 - 33*g**3\/4 + 93*g**2\/4 - 63*g\/4 = 0. Calculate g.\nAnswer: 0, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -474*m + m**2 + 474*m. Suppose 1320 = 9*i + i. Let x(o) = -132 + i - 57*o. Give x(p(y)).\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -269, -4 in decreasing order.\nAnswer: 2, -4, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*h - 131973 = 73*h + 1302867. What are the prime factors of h?\nAnswer: 2, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5 + 3 = y, -4*y = -5*s + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + r - 1. Let p(f) = 13*f**2 + 4*f - 4. Let c(b) = -4*d(b) + p(b). Let y(s) = 21*s**2 - 27*s**2 + 7*s**2. Calculate c(y(w)).\nAnswer: 17*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67861 is divided by 11080?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*z = 25, -v = 5*z - 33 + 13. Let g = -9 - v. Is (-4)\/(((-16)\/(-142))\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or 2\/55935?\nAnswer: 2\/55935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2679*b + 1385051. Give s(-517).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002023 to 6 decimal places.\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 36 = 6*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 894 times 6\nAnswer: 5364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t + 16. Let b be y(-10). What is the derivative of b*k**4 - 177 - 4*k**4 + 183 wrt k?\nAnswer: 248*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 180*q + 61 = 169*q, -q = -2*s - 121 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - 2) + -32 + 25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*m + 195 + 229, 1268*m + 314*l = 1273*m - 26381 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -596 times -0.421156\nAnswer: 251.008976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 0*k + 0*k**2 + 5 + 4\/3*k**3. Let g(v) be the third derivative of -v**5\/30 + v**2. What is w(g(d))?\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 124*y**3 + 6*y**2 + 17*y - 24. Let z(o) = 42*o**3 + 2*o**2 + 6*o - 8. Determine -4*n(k) + 11*z(k).\nAnswer: -34*k**3 - 2*k**2 - 2*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-12823.038\nAnswer: -384.69114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1433225 - 0.34332146. Let b = w - -0.2. What is b rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/470 and -59\/470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxtxtxxtxxxx. What is prob of picking 3 x?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -26*w**2 + 10*w + 25. Let c(l) = 5*l**2 - 2*l - 5. Let y(a) = -11*c(a) - 2*s(a). Let j(q) = 1. Let g(x) = -4*j(x) + y(x). Factor g(u).\nAnswer: -(u - 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 14*q - 35. Let v = -17 + 7. Let a be d(v). Suppose a*p + h = 1 - 3, 0 = -3*p - 2*h - 4. Solve p*i - 16 = -2*t - 4*i, -18 = -3*t - 3*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 27*b**2 + 46*b - 3. Is o(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 1. Let h be l(1). Let g = -32 + 20. Let o be ((-1)\/2*5)\/(5\/g). Solve h*d - 4 = 5*d - 3*a, -4*d = a - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*27\/36*(-6)\/(-27).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 574.5 + -574. Let p = 4.4 - 4. Let n = p + -0.7. Which is the second biggest value? (a) j (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(-4*r - r + 3*r)*(-56*r + 197 - 197) + (1 - 2 + 0)*(-5 + 3 + 0)*(-5*r**2 + 5*r**2 + 2*r**2) as l*r**2 + y + a*r and give l.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - f + 256 = 0, 4*f + 340 = 4*k + 5*f. What is the greatest common factor of k and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 1442, 3253, 5790, 9053, 13042, 17757?\nAnswer: 23198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*q - 15 = 2*t, -t - 10 = 3*q. Suppose a = t*s + 7, 4*s + 4*a = 1 + 3. Is s > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -1 (c) 2 (d) 3 (e) -788 (f) -2\/5 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24 + 79222\/3300)*6)\/3?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027557048 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/(-22))\/2)\/((-222)\/31524*-213)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 324*p + 1620. Let m be g(-5). Let i be (-24)\/(-9) + 1\/3. Let d = -5 + i. Which is the nearest to -2\/7? (a) -1 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -38*h - 306. What is u(-6)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - 5*b - 2. Let s(c) = c**3 + c**2. Let o(x) = -m(x) + 2*s(x). Let r(j) = -j**3 + j. Determine -o(z) + 5*r(z).\nAnswer: -z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from {g: 10, v: 1, x: 7}?\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 69\/9326617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/3 + 418*o**2 + 66960*o + 1345400\/3 = 0 for o.\nAnswer: -310, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3\/1049, -4, -164?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = -3*f, 3*f = -2*f + 20. Differentiate -37 - j*o**3 + 32 + 3*o**3 wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5947814*j**4 - 3016*j - 158 wrt j.\nAnswer: 71373768*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44, -93, -168, -263, -372?\n\"Answer: n**3 - 19*n**2 + n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 4. Let z = -913 - -916. Suppose 3*i - 2*b = 2*b + 105, -z*i - k*b = -129. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/(-1))\/(49*(-30)\/(-7840)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*x = -8*u + 58, -10 = -5*x. Let w = u - -1. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-156)\/45 + (-2)\/(-5). Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -4990.43\nAnswer: -84837.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.603794 to 1 decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 375*l**2 - 10150*l + 694. Give j(27).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135517 is divided by 44976.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = -3*t - 6, 0 = -3*r - 3*t - 6. Let a be (-1 + -2)\/((-2 + r)\/2). Let c be 4\/(-20) - 198\/10. What is the second smallest value in -1\/7, a, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -23*m**2 + 17*m - 2. Let i = -4630 - -4643. Let g(a) = 11*a**2 - 8*a + 1. What is i*g(w) + 6*d(w)?\nAnswer: 5*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26\/35 - -584\/315. Suppose -24*p + 25*p - 2 = 0. Determine u, given that w*u**3 - 14\/9*u**p + 4\/9*u + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o + 2*p + 453 = 0, 4*p + 1796 = -4*o. Let a = 814 + o. Let n = a - 677\/2. Calculate the common denominator of -1\/7 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43.11*0.4.\nAnswer: 17.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 514920 divided by -40\nAnswer: -12873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -5 - -1 - (-1173)\/17. Suppose -3*l + 8*l - a = 0. Calculate the remainder when 36 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + 1)\/(-1 + (-2 - -1)). Suppose 4 = 4*w + h + h, 4*h + 31 = s*w. Put w, -4, -16\/3 in decreasing order.\nAnswer: w, -4, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from {c: 3, z: 1, j: 1, x: 1, o: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 240 = 3*l. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*n - 15*n + 14*n)*(34*n**3 + 6*n**3 + 39*n**3).\nAnswer: -1264*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*x = -0*y, -3*y + 5*x - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -857499180 at most -857499182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-711)\/(-158))\/(345\/(-10)). Put -0.3, -40, q in ascending order.\nAnswer: -40, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1507039413.\nAnswer: 3, 11, 269, 169769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from zzpzzrphrhhsqh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3960 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1988.7 - 1988.8. What is the closest to 0.2 in 12, 0.2, z, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 22. Let u = -14 - -29. Calculate the remainder when a is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((9 - 9 - h)*(h + 0 + 0) - 36*h**2 - 7*h**2 - 26*h**2)*(-1 + 2*h + 3 + 0) in the form j*h**2 + r*h**3 + o + c*h and give j.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1673*l + 1311646. Give z(784).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23697 is divided by 316.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-15) - 7\/(-3). Let o(d) be the third derivative of -d**6\/120 + d**5\/60 + d**4\/8 + d**3\/3 - d**2 - 22. Determine o(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 27*s**2 - 8*s + 17. Let d be q(2). Differentiate 26 + 155*n**2 + 9 + 9*n**2 - d - 127 with respect to n.\nAnswer: 328*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2876*t**2 - 24*t - 355*t**3 + 13*t + 11*t.\nAnswer: -355*t**3 + 2876*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-150)\/(-5))\/5)\/((-2)\/(-3)). Solve 4*k + 4*g + 14 = 2, g = 2*k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (110\/16 + 0 + -7)*8\/(-14)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 11*r - 4*o = -8, -2 = -4*r - o. Let u(c) = -c**2 - 5*c + 11. Give u(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -50. Let a(y) = 10*y**l - 28*y**2 + 20*y**2. Let g(t) = 5*t. Determine a(g(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 454, -3\/7?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/97, 0, 3, 1, -5\/12 in descending order.\nAnswer: 3, 1, 14\/97, 0, -5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*h**2*r**3 - 2*h**2 - 2*h*r + h + 11*r**4 wrt r.\nAnswer: 228*h**2*r + 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 1\/2*g**2 + 0*g + 0 + 1\/2*g**4.\nAnswer: g**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcc when three letters picked without replacement from {c: 3, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1386*v - 3*h = 1383*v - 3, 0 = -5*v - 5*h - 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 91 = 49. Let r be (-4)\/f + 78\/(-350). Suppose -3*g = -0*g + 3. Is r at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n. Suppose 2*l - l - 7 = n. Calculate the lowest common multiple of l and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 4*y - 2. Suppose p = -4 + 7. Let a be r(p). Let z(f) = -a + 2*f**2 + 3 - 3 + 0*f - 2*f. Give z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-84)\/(-35)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**6 + n**3 - n. Let m(j) = 2119*j**6 + 6*j**3 + 1727*j**2 - 6*j. Let k(o) = -m(o) + 6*v(o). What is the third derivative of k(w) wrt w?\nAnswer: -253560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/1197)\/(6\/27)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t**3 + 3*t. Let n(r) = -7*r**3 + 4*r. Give -5*j(p) + 6*n(p).\nAnswer: -2*p**3 + 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4440*g**2 + 3 - 4420*g**2 + 2.\nAnswer: 20*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/17 (c) 1\/22 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -19*i - 87. Let x be u(-10). What is the second derivative of 146*y**4 - 90*y**4 - 10*y - x*y**4 wrt y?\nAnswer: -564*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*f + 488*f - 565 = -4510 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -469?\nAnswer: -187.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759224283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 58*l. Let o(d) be the second derivative of -9*d**3\/2 - 3*d + 600. What is v(o(r))?\nAnswer: -1566*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27603, 55206, 82809, 110412?\n\"Answer: 27603*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**4 + x**3 - 2611*x**2 - 2*x - 405876 with respect to x.\nAnswer: -8*x**3 + 3*x**2 - 5222*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y. Suppose -4*v + 172 = -y*v. Suppose 20 = -2*p - 3*p, 3*j = 4*p + v. What is the smallest common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11006*w + q = -11009*w + 248, -42*w = -37*w + 6*q - 435 for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1136)*10*14*(-78)\/1365\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p - 6*p**3 + (-p**2 - 3 + 3 + (-2*p - 2*p + 5*p)*(p - 3*p + 0*p) - 9*p - 5*p**2 + 9*p + 0*p**2 - p**2 - 2*p**2)*(-3*p + 3*p - p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 z, and 1 q when four letters picked without replacement from zkqkkqkqqkkskzqqqk.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7777*r - 114616 + 299436 = -487143 - 401263 for r.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 < -630\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12158940, -12158944, -12158950, -12158958, -12158968, -12158980, -12158994?\n\"Answer: -q**2 - q - 12158938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.117 + -2.803. Let y = -0.08 + n. Which is the second smallest value? (a) y (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12495*j + 12737*j - 401 = -11049 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/2 + 105*j**2\/2 + 1404*j + 1352 = 0.\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 plus -99.23600260648?\nAnswer: -97.43600260648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-408)\/3519))\/(2\/8*1).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6420 is divided by 182.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 458 - 404. What is the highest common factor of 126 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25904 - -569783\/22. Let l = -717677\/2040 - -1759\/5. Let x = l + 15307\/2856. Calculate the common denominator of s and x.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 8*d**2 - 10*d - 4. Let y be (-4)\/7 - 135\/21. What is the remainder when b(y) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 654, 1053, 1452, 1851?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2181 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*q + 19 = 0, -2 = a - 4*q + 6. Suppose 0 = 10*x - a*x - 1980. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 7)*(2*b - 8 + 3 + 4).\nAnswer: -20*b + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from wydwpy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + c**2 - 2*c + 1. Let r be m(1). Let v(g) = -g**2 - g + 3. Let z be v(3). Let w be (-4)\/(-18) - (-2)\/z. Solve -f - r = -w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 108\/14 + 2\/7. Let l(j) = 5*j**2 + 57*j - 7. Let m(b) = -b**2 - 14*b + 2. Let w(x) = -2*l(x) - 9*m(x). What are the prime factors of w(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -1 - (-1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 28136 = -11864. Round l to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 38. Factor 18\/5*i**y - 4\/5*i + 0.\nAnswer: 2*i*(9*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 9. Let f(s) = 4*s + 27. Let h(k) = 2*f(k) - 7*o(k). What is h(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elx when three letters picked without replacement from txlxxeteextppxeteexx.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 269618 and 10.\nAnswer: 1348090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 15 - (0 - (-4 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Let v = -1 + 3. Suppose v*z - b - 3 = -2*n, -z + 2*n + 16 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 3) + (-34 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -0.2, -545 in decreasing order.\nAnswer: 5, 3, -0.2, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/25)*j**36)**12 assuming j is positive.\nAnswer: j**(10788\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6538760 and 11442830.\nAnswer: 45771320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29580 and 136.\nAnswer: 59160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-16 - -12 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**6\/l)*l)\/l*l**(-20))\/(l**(3\/17)\/((l*l\/(l**(8\/9)\/l))\/l)) assuming l is positive.\nAnswer: l**(-3529\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 13\/8?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j. Let q(n) = -3*n**2 + 11*n. What is -22*h(i) + 2*q(i)?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34474 and 81484.\nAnswer: 896324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1333*t**3 - 24*t**2 + 4*t + 1156. Let a(v) = 1332*v**3 + 18*v**2 - 3*v - 1155. Let b(c) = 4*a(c) + 3*o(c). Find the first derivative of b(h) wrt h.\nAnswer: 3987*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/100 and -29\/300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f**5 + 48 - 3*f**5 - 100 + (f**4 + 0*f**4 - 7*f**4)*(5*f - 4*f - 2*f).\nAnswer: 12*f**5 - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = c + c. Suppose b + 4*b - c = 0. Suppose -b*l - 4 = -5*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 3*w - 2*k - 12, 4*k = -5*w + 294. Let m = -41 + w. Suppose -3*j + 28 = z, 3*j - 2*j = -z + 10. Calculate the remainder when m is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/29824 and 53\/8.\nAnswer: 29824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -13) + 10 + -1 + -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3 - 1259540*d**2 = 0. Calculate d.\nAnswer: -629770, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 28 = 98 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111563267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 5*x + 2. Let r be o(3). Let u(g) = -r*g + 0*g - 2 + 2. Let q(l) = l**2. Give u(q(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 25) + 11 + (-9 - -4) + 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 551, 1119, 1687, 2255, 2823?\n\"Answer: 568*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1276524 divided by 708\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(4) + sqrt(24)\/(sqrt(6)*5))\/(2*sqrt(162)).\nAnswer: 11*sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4 + 1660*b**3 + 95530*b**2 + 1255940*b - 1353135 = 0.\nAnswer: -263, -49, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.392 + 2.26. Let u = -1.868 + r. Which is the third smallest value? (a) -3\/2 (b) -1\/6 (c) -24 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21698 = -12*b + 21734. Let x(j) be the first derivative of 12*j + 14 + 1\/9*j**b + 2*j**2. Factor x(i).\nAnswer: (i + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7827 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18. Let h be (-3)\/(3\/2 + z). Put -5, 2, h in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -19, -78, -203, -418, -747, -1214, -1843?\nAnswer: -2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 654, 3087, 7366, 13491, 21462?\n\"Answer: 923*h**2 - 336*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1316 and 43\/376.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 91, -767, -2, -5 in descending order.\nAnswer: 91, 5, 0, -2, -5, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 9*o + 75. What is the units digit of w(71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzrqrhnqqqqqhqqzqd. What is prob of sequence rn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38071 + -78714. Is (p\/(-2))\/1 + 3\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 times -1.3?\nAnswer: -263.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 3f?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1159 + 1158.7. Which is the closest to 0? (a) u (b) -1 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 147097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 8 + 1\/105*h**7 + 1\/105*h**5 - 1\/42*h**4 + 4*h**2 + 1\/588*h**8 - 1\/21*h**3 + 2\/105*h**6 + 0*h. Factor v(p).\nAnswer: 2*(p + 1)**4*(2*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4.8759921ns?\nAnswer: 0.00000000000000806215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)\/(1\/3). Let n(q) = -q + 1. Determine n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.9 + 25. What is the nearest to h in 2\/9, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3*a**2 + 5*a - 2. Let o be u(4). Solve -2*y + 6 = b, -o*y - 12 = -4*b - 4*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = r - 68, -2*r = -5*l + 42 + 32. Suppose 37 = l*q - 13*q. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-1.218\nAnswer: -0.01218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 18 + 38 = 0. Suppose -3*g + 1 = 2*m, o = 5*m - 2*m + 2*g. Calculate the remainder when (4\/(-10))\/(4\/(-140)) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hror when four letters picked without replacement from {o: 8, h: 6, r: 3}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -9 - 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -5)\/9 + 2\/4. Let p(j) = -j**3 - j**2 + j - 1. Let z be p(0). What is the nearest to -1 in s, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 4*l = 132. Let t(f) = -3*f + 4. Let v(h) = 8*h - 11. Let r(y) = l*t(y) - 4*v(y). Let p(w) = -5*w - 13*w**2 + 5*w. Give r(p(x)).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 2 (c) 27 (d) -4 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-777*g + 391*g + 388*g - 172*g**2)*(-4 + 3 + 4)*(-4 - 3 + 5).\nAnswer: 1032*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:40 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 9235398\nAnswer: 3694159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 29 = -4*p. Let c(a) = -a**3 - 8*a**2 - 16*a - 5. Let m be c(-9). Let b = m + -87. Calculate the greatest common divisor of b and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -164814561 equal to -164814565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 1. Let j(u) = 18*u**2 - 12. Give -j(h) + 8*v(h).\nAnswer: -10*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 82*b - 4376. What is t(56)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 - 5*z - 27. Let g = -12 - -8. Let c(d) = -3*d**2 - 50*d - 26 + 18*d + 28*d. Let p(a) = g*t(a) + 5*c(a). Differentiate p(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19111908 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 8*l**2 - 20*l - 3. Let u be 5\/(-40)*2 - 82\/(-8). Give p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b91b (base 13) to base 9\nAnswer: 38238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*a + 6, 5*a + 1 = 4*t - 8. What is the remainder when t + 2 + ((-140)\/2)\/(-1) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 0.7 (c) 8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8688993 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3405 - 3405. Solve i = 3*a + 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 33*u**2 - 180*u - 119. Determine f(38).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17734561, 17734559, 17734557, 17734555, 17734553?\nAnswer: 17734551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1313 or -13302.2?\nAnswer: -2\/1313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 + 22220212112?\nAnswer: 22220220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**2 - 290*m - 1. Let s(y) = 7*y**2 + 148*y. What is -3*h(o) - 5*s(o)?\nAnswer: o**2 + 130*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.332754 - -1686.115\nAnswer: 1683.782246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64952164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/2*k**3 + 0 - 4*k - k**2. What is g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 9\/4, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 0*f**3 + f**3)*(-4*f + 7*f - f)*(-1 + 13 + 1).\nAnswer: -52*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -63225*m - 1. Let j be x(-1). Let t = j - 2655797\/42. Let c = -83\/6 - t. Find the common denominator of c and -49\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69.9 + -18.1. Let v = 85 + b. Which is greater: 13 or v?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 divided by 199?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 839053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 11:39 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*48.2\nAnswer: -48.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 228.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 23*f**6\/30 - f**4\/4 - 14*f. Find the third derivative of z(h) wrt h.\nAnswer: 552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -10*u - 1. Suppose -m = -1 - 10. Let t(j) = -2*j. Let i(r) = m*t(r) - 2*w(r). What is the units digit of i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3678 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -15*u + 792. Let t be (-2*6\/(-30))\/(9\/795). Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:26 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87252414323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20457273 by 9.\nAnswer: 6819091\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 + 0*c**2)*(-148 - 18 + 10*c**3 - 30).\nAnswer: 10*c**5 - 196*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 4.06. Let r = 93.52 - 1.52. Let x = r + -86. Which is the second biggest value? (a) 1\/2 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1506 - 585. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n - 5*n + 0*n)*(-3*n**3 + 4*n**3 + n**3) - n**4 + n**4 + 3*n**4 to v*n**2 + j*n + r*n**3 + z*n**4 + p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*v - 35 + 30 = 0, 4*v + 5 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 47*j - 282. What is o(52)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57308135 to 2 dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -141, -214, -305, -420, -565, -746?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -112819\/90 equal to -1254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in centuries?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 0.2 (c) -0.2 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 21\/4*o**4 + 3\/2*o**2 + 9\/5*o**5 + 0*o + 5*o**3 + 4. Solve p(r) = 0 for r.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18495.2154 - -3072.2224. Let w = 15440 + k. Let v = -17 + w. Round v to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4089, 8189, 12309, 16455, 20633, 24849, 29109?\n\"Answer: x**3 + 4*x**2 + 4081*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 4, -4, 2\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*f + 192 = -113*f. Solve -46*v + f*v - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 11*u - 4. Let l be n(10). Suppose 25 = l*x - x. Solve -x*a = -2*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4216212 and 13286.\nAnswer: 307783476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32.978 - 33.3. Let j = -140.678 + b. Let f = -141.73 - j. Round f to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 77 = -87 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + f - 7. Let o(j) = 7*j - 6*j - j - 3*j**2 - 8. Let i(h) = -4*c(h) + 3*o(h). Let q be i(-4). Put -3, 3, q in descending order.\nAnswer: q, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 4*w - w)*(5*w**3 - 4*w**3 + 0*w**3) + (w + 2 - 2)*(-w**3 + 0*w + 0*w) + 2*w + 2*w**4 - 2*w + 1 + 2*w**4 - 1 - w**2 + w**2 - 2*w**4.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*h = -4*s - 332, s - 23*h = -25*h - 15 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143734558 and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 98.5 (b) 2 (c) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92e + 2dc2f?\nAnswer: 2d301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1573728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (10 - 12) + -1 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, -11\/21, -0.4, -0.1, -1\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2))\/k**5*k**(2\/7)\/(k\/(k*k\/k**(-7))) assuming k is positive.\nAnswer: k**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 14948.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 28*w - 32. Let i be h(31). Is 49 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 14 = 3*y, 4*p - 2 = 3*y + 8. Suppose 0 + y = b. Suppose -b*r = -3*w + 11, -5*r + 8 = -2. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvc when three letters picked without replacement from sccsvhshrvcsvrscvhc.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 14. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7) + 1 + -3 + (sqrt(112)\/sqrt(2))\/sqrt(8)*-4 - (-1*sqrt(35)*2)\/(sqrt(1260)\/sqrt(7)).\nAnswer: -8*sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {v: 11, k: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10446641 or -10446638?\nAnswer: -10446641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83319 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/3 + 9718*n\/3 + 12968 = 0.\nAnswer: -4, 4863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -47686*i. Let u(d) = 10873*d. Calculate x(u(j)).\nAnswer: -518489878*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Let u(p) = 2*p**2 - 52. Give x(u(g)).\nAnswer: 8*g**4 - 416*g**2 + 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56578777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19410595 - -2223.345\nAnswer: -19408371.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 2 - (-4 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:14 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -714*4139.21.\nAnswer: -2955395.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244746880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 7. Let f = -369 - -370. Let a be 25*(16 + -14 - (f + 0)). Calculate the greatest common divisor of c and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81670 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*a**2\/9 - 56*a\/9 + 22\/9.\nAnswer: 2*(a - 1)*(17*a - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v - 327*v + 944 = -1030 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301037 and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(3*(-84)\/108)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a kilometer in centimeters?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 290 = -305. Let o(l) = -27*l - 151. Let z be o(c). Which is greater: -29\/2 or z?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -747 divided by -399?\nAnswer: 249\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 41*q**3 + 1 + 0*q**2 + 45054*q**4 - q + q**2 + 4*q**3 - 45055*q**4 as f + y*q + c*q**4 + b*q**2 + h*q**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 17. Suppose -4*t + 11*p + 140 = 13*p, -p = 3*t - 107. What is the remainder when t is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by 1\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 22152468*n + 110762290.\nAnswer: 2*(n - 11076229)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -457, -0.15, -5?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 8*q**2 - 7*q + 6. Let z be l(7). Let t = -2 + z. Suppose -t*h - h = -15. What is the greatest common divisor of h and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-2) + (14 - -4). Suppose -552 + 90 = -w*s. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 227830870*q + 213108909 wrt q?\nAnswer: 227830870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4755 (base 8) to base 5\nAnswer: -40131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 3*n - 50. Let d(s) = -7*s**3 - 35*s**2 - 12*s - 5. Let r be d(n). Do 55 and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142330 to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c*c\/c**(2\/13)))))**18 assuming c is positive.\nAnswer: c**(-198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349, -346, -345, -346, -349, -354, -361?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70981743 at most as big as 70981743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 6*r = 6*r - 288. What is the nearest to 0 in 1, 5, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = x - 1, 2*x = -6*l + 3*l + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 657\/4 + -181. Find the common denominator of z and 87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/2 - 100917*v**3 + 403663*v**2\/2 + 100917*v - 201832 = 0. Calculate v.\nAnswer: -1, 1, 2, 201832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12294035 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-702))\/(138\/(-4784)).\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7592 + 7849. Suppose 0 = -0*p - 4*p. Suppose 0*s + 4*s - 172 = p. What is the remainder when k is divided by s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*m**3 + 1757*m**3 - 879*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from tqggxxkm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3 + 5*z**3 + 18*z**2 + 3*z**3 + 12*z + 3*z**3 + z**3 + 3*z**4 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 + 27?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 194, 255, 314, 371?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 8665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or 0.56?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99359670 divided by 16559945.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 25*h**2 - 12*h - 23. Determine m(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**2 - 137028587*o + 299088892?\nAnswer: 4*o - 137028587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 1350*g - 91125.\nAnswer: -5*(g - 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41225 = 69*k - 2240. Which is bigger: -3958\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.1 + -11.1. Let h = 8.00016 + b. Round h to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*v - 22. Let a be ((-70)\/(-21) - 4)\/(4\/(-30)). Suppose -5 = -a*u, -3*k - v*k = 3*u - 923. What is the remainder when k is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 71. Let v(t) = 9 + 36*t - 71*t + 3 + x*t. Let y(p) = -p. Calculate y(v(w)).\nAnswer: 3*w - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c - 1494 = -96*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30649060 is divided by 146.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + (-70 + 10 - 7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, -5, -12, 0, -1 in ascending order.\nAnswer: -12, -5, -1, 0, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:14 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 + 6*j**2 - 7*j. Let p be (27\/(-3))\/(6\/(-4)). Let y be d(p). Round y to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 4 + 4)*(2*k**4 - 2 + 2) + (-4*k**4 + 1 - 1)*(-6*k + 16 - 16).\nAnswer: 20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/21)\/2*5*3. Solve 3*o - 4*o + n = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2609*r + 1607*r - 18036 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10900 by 109.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -85135*r + 33236*r**2 + 42564*r + 42571*r as p*r**2 + q + s*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 + (4 - 36\/10). Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0.02224649.\nAnswer: 4.97775351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267 - 285. Put -4, c, 1 in decreasing order.\nAnswer: 1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23554174 and 7686.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056927708 rounded to four dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 52*o**4 - 6704*o**3 + 6092*o**2 + 6704*o - 6144 = 0. Calculate o.\nAnswer: -1, 12\/13, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from lnnl?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200293?\nAnswer: 200293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 2*p**2 - 6*p - 1. Let r(w) = -4*w**3 - 58*w**2 - 29*w - 16. Let m be r(-14). Let x(o) = 2*o**3 + 3*o**2 + 7*o + 1. What is m*x(a) - 3*j(a)?\nAnswer: 2*a**3 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5464, -5452, -5428, -5386, -5320?\nAnswer: -5224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2175528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 23*n**2 - 16*n - 32. What is the remainder when 317 is divided by i(10)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(-2 + 2 + 1)*(z - 3*z + z)*(33 + 26 - 18) to the form k + p*z and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*r - 1676*r + 41526 = 0 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let x(q) be the third derivative of 0*q + 0*q**4 + 1\/15*q**5 - 5*q**2 + 0 + 0*q**3. Calculate a(x(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -322763 (base 8) in base 11?\nAnswer: -7417a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -15. Let h = 4 - 3.8. What is the second smallest value in -3, h, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1985, 1974, 1949, 1904, 1833, 1730, 1589, 1404?\n\"Answer: -y**3 - y**2 - y + 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 18 (b) -881.5 (c) -0.2 (d) -0.4 (e) 0.02 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -1421\/11. Let w = 0.03 + 0.27. What is the second biggest value in w, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 + -130 - (4 - (-1 - -36))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*q - 19*q = 20, 239*q - 235*q = x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 954*h**2 - 951*h**2 - h**3 - 658 + 359 to n*h + k + q*h**3 + u*h**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-4)\/(-352))\/(18\/(-8))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4 - 2*k**3\/3 - k**2 + 2*k + 1. Let u(w) = w**3 + w**2 - w - 1. Let p be 2\/((0\/(-1) - 1) + 3). Give p*s(a) + 2*u(a).\nAnswer: -2*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -3, 341, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8564 divided by -868.\nAnswer: 2141\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574478?\nAnswer: 2, 3, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/(-70)*4592\/160 and (158\/(-30))\/((-54)\/(-5))?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4402.3167 times 0.8?\nAnswer: 3521.85336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 16*g**2 - 37*g + 8. Calculate c(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19068 = -337*s + 6702 + 397 + 5174. Suppose -4*j + 43 + 37 = 0. What is the remainder when s is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4386*l + 4381*l + 4*i = -6 - 3, -7*l = i - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -7*t**6\/30 - 27*t**5\/10 - 25*t**4\/4 - 8*t**3\/3 + 6*t**2 + 1871*t. Factor a(n).\nAnswer: -(n + 1)**2*(n + 6)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 16 - -13) + (6 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 413 + -195. Suppose 0*d - w = -2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 540, -0.4, -17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*a + 26, -2*p - 31 - 9 = 4*a. Let u be -9*(-6)\/a + 2. Let w be -10*u\/(-30)*-3. Solve 3*g + 13 = w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2092*a*m**3 - 30*a*m*r**3 + 6*a*m*r + 7*a*r - 3*m**3*r**3 wrt m.\nAnswer: 12552*a*m - 18*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72083, 82, -23 in ascending order.\nAnswer: -23, 82, 72083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -45*i. Solve 10*a - 8*a - 6 = i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k\/k**(-17))))\/(k*k**(1\/9)))**(-47) assuming k is positive.\nAnswer: k**(-6721\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 48 = -4*f. Suppose -4*h - 2 = -6*h - v, -2*h - 3*v + f = 0. Factor -4\/13*w + 2\/13*w**4 + 4\/13*w**3 + h*w**2 - 2\/13.\nAnswer: 2*(w - 1)*(w + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1078634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248 or 255?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 31*b**2 - 29*b + 104. Let r be x(-32). What is the highest common divisor of 200 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -31031111?\nAnswer: -31031101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*w - 141*w + 135*w in the form j*w + o and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -86*h - 62. Let d be k(-1). Calculate the greatest common factor of 2592 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 77654406593?\nAnswer: 77654406595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**(-5))))\/v**7)**(-4\/9)\/(((v\/v**(1\/5))\/(v\/(v**(-2)*v)))\/((v\/(v*v*v*v*v**(2\/7)))\/v)**(-37)) assuming v is positive.\nAnswer: v**(50468\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*i - 92 - 4 = 111 + 1. Determine j so that -1\/4*j**5 + 0 - 9\/4*j**4 + 7\/2*j - 13\/4*j**3 + 9\/4*j**i = 0.\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*q - 617 - 1039 = 236*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (39\/9 + -4)*6 + 1467?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - m + 250 = 3691, 3*r + 5*m = 3441. Is r a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 505.\nAnswer: 2\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12 - -14*2\/60.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 7*p - y = -p + 3*y, 0 = 139*p - 144*p + 3*y + 30 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 20*h - 44. Determine l(-20).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/4 of a milligram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.11114 rounded to the nearest integer?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28841649 a multiple of 2073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3 + c**2 + 0*c**2 + c + 0. Let j be n(-3). Suppose -x = -j*h - 6, -2*h + 3 - 7 = -2*x. Are 2\/3 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(-2*sqrt(468) + -1 - (sqrt(468) + sqrt(468) + (-3*(sqrt(468) + -1) - sqrt(468))) - -5*(sqrt(468) + -1*sqrt(468) + -5)))**2.\nAnswer: 30275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-5)*((-12)\/1)\/(150\/(-75))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -3*j + 9*j - 55 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356286312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8227\/(-2755)*5 + 15?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.050206698 to five dps.\nAnswer: 0.05021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1654 - -3f?\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 12 = -2*p. Let c(q) = q**2 - 10*q + 5. Let o be c(0). Suppose -o*y - 5*w + 3*w = 10, 20 = -5*y - 4*w. Solve y*m - p = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + 4*s. Let d be 6\/(-4)*60\/45. Let k(y) = -9*y**2 + 8*y. Let r(l) = d*k(l) + 5*t(l). Find the second derivative of r(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2381\/3201 + 66\/97. Find the common denominator of b and -55\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (153\/102)\/((-2)\/(-80)). Solve -40*b = -28*b + s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25*r + 1. Let t(f) = 2*f + 1. Give l(j) + 6*t(j).\nAnswer: -13*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 9*r**2 + 6*r + 11. Let h be v(9). Let y be h\/15 + 2\/(-6). Differentiate 2*c**3 - c**3 - 3 - c**3 - c**y wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-1))\/(((-49)\/(-49))\/(1\/6*-6))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*p + 12. Calculate the least common multiple of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5224 divided by -4?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-17) - 113076\/(-2754).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -42\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76581440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.013, 1\/5, -5272, 1 in descending order.\nAnswer: 1, 1\/5, -0.013, -3, -5272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + 7732356146.\nAnswer: 7732356145.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 95542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2*0)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/2 - 4*y**3 + 6*y**2 - 57*y + 101. Does 2 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69164 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10597, 42252, 95027, 168922, 263937?\nAnswer: 380072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (399\/380 - 2\/(-10)) + (-15)\/(-20). Let j = 6533 - 3602. Let l(s) = h*s**2 + 2931*s - 4*s**2 - j*s. Let q(w) = 71*w**2. Calculate l(q(z)).\nAnswer: -10082*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 84. Let s = 76 + -18. Let r = k + s. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*m - 2*k, k = -m + 4 + 4. Let n(v) = 2*v + 3. List the prime factors of n(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 2*h - 2*h - 4. Let w be m(0). Let b(z) = -16*z + 5. Is b(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32588 + 8\/(-2))*275\/(-11). Round z to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 - 4*t + 6. Let h be p(5). Let q = h - -117. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/44*(-4026)\/(-610).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 3*c + 3*c - 202*c + 191*c - 131*c + (1 + 0 - 2)*(-2*c + 2 - 2))*((1 + 1 + 0)*(-2 + 0 + 1) + 1 - 5 + 5 - 4 + 2 + 3 + 4 - 3 - 2)*(-3*c + 0*c + c).\nAnswer: -278*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -947 - 4?\nAnswer: -94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 26 - 15 = 0. Let z be 112\/(-60) - (f + -1). What is the third biggest value in 1, 0.2, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 78*t**2 + 142*t - 222.\nAnswer: 2*(t - 1)*(t + 3)*(t + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 - 2436*o - 24760 = 0. What is o?\nAnswer: -10, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 259, 715, 1407, 2365?\n\"Answer: 5*z**3 + 73*z**2 - 4*z - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4 - 182*s**3 + 14432*s**2 + 1316480*s = 0.\nAnswer: -88, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2 - 2*d**6 + 10*d**2 + d**2 + 5*d**2 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329 - 1020 + 364 + 327 + 6*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0) + 0\/(-3). Suppose -5*c - 15 = 0, -o - 5*c + c - 10 = 0. Let d be 13\/26 - o\/4. Is q greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 26 = -2*f, 10*h + 0*h - 39 = 7*h + 3*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61845161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/20)\/(r**(5\/8)*r))\/(r*r*(r*r**28\/r)\/r*r**(1\/3)) assuming r is positive.\nAnswer: r**(-3709\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*h**3 - 4*h**3 - 12*h**3 + 11*h**3.\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 15 = 5*b, 4*c + 1 = -b - 2. Suppose 4*m + 3*u = c, -3*m + 13 = -2*u + u. Solve 2\/9*z**m + 0*z**2 + 0 - 2\/9*z = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -337.31794 to the nearest integer.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 50583286?\nAnswer: -2\/25291643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((((i**1*i)\/i*i)\/i)\/i)*i)\/i)**(4\/27)\/((i*i\/i**(-2\/19))\/i**6) assuming i is positive.\nAnswer: i**(2074\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 2440.8.\nAnswer: 2440.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 0, 0 = -0*d + 2*d + 3*l - 15. Calculate the greatest common factor of 99 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 v, and 1 j when three letters picked without replacement from {q: 1, j: 1, v: 5, n: 7, h: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -2232 - 88. Calculate the remainder when q is divided by (-56 - 4)*(-2)\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (6 - 19 - 5) + -12 + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 59\/4 (b) 2\/153 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-90)\/27*24\/10. Let i(m) = m**2 + 7*m + 5. List the prime factors of i(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:06 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783302 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) 5 (b) -94\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/2 - (-10 + 12). Suppose -5*t = 3*d - 2*d + 1, -2*d + 2*t + 10 = 0. Find the first derivative of 4 - 6 - 8*m**d + 3 + q wrt m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -79, -0.5, -2, 0.5 in descending order.\nAnswer: 0.5, 0.2, -0.5, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7681790 and 1?\nAnswer: 7681791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2284010 and 185190?\nAnswer: 6852030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i**2 + i**2 - 2*i**2)*(-i + 0 + 0 + (-1 - 1 + 0)*(-4*i - 2*i + 4*i) + 4*i - 5*i + 4*i) - 78*i**3 - 6112*i**2 + 6112*i**2.\nAnswer: -138*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123001302010 (base 4) to base 3.\nAnswer: 111022222001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*f - 26 = 0, -4*t + 94 = 3*f - f. What is the remainder when 1526 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 31. What is the remainder when 18 is divided by (-35)\/(-5)*6\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 161, -1\/2, -3, -2, -48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(80)) + -2 + sqrt(405) + sqrt(405)*-1)**2.\nAnswer: 12*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 24325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000259326107 rounded to 7 decimal places?\nAnswer: 0.0002593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 2*j + j - 12*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218 and 22?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/((-10)\/49) - (-1 - -1) and 2*(-29)\/14 + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621*w - 601*w + 1741*w.\nAnswer: 1761*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -847210060 rounded to the nearest 100000?\nAnswer: -847200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -13*z - 9. Suppose -2*t + 10 = -8. Let i = z - t. Solve -2*w + w - 3 = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -198, -394, -604, -834, -1090?\n\"Answer: -w**3 - w**2 - 186*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {x: 5, d: 11}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.68 - 2.7. Which is the closest to 0.1? (a) 0.1 (b) 1\/20 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7728.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 1080, 109 in ascending order.\nAnswer: 0, 1, 109, 1080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*s + 105*s - 33*s - 12200440. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8564478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r\/(r\/r**(6\/19))))*r**(-2\/3))\/(r**(1\/7))**(-1\/30))**(10\/3) assuming r is positive.\nAnswer: r**(-5371\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 8*z**2 - 10*z + 8. Give d(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - (-290284)\/168552?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 1. Let b be p(1). Suppose 0*z - b*z + 30 = 0. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9) - (-66)\/18. Solve 5*w - z*w + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87815*c**3*h**3 + 2*c**2*h**3 + 94952*c**2*h wrt c?\nAnswer: -526890*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 22 + y - 48 + 21. Suppose -43 = -5*o - 0*o - w, 2*o - 5*w = 1. What is d(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 118*f**2 - 97*f**2.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 248954, 235 in decreasing order.\nAnswer: 248954, 235, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 553739 by 553739.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 3. Determine z(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.912663 meters?\nAnswer: 6912.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5 - 1 + 6 + t - 5. Let q be x(7). Let w = 135.8 + -136. What is the nearest to w in q, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 172011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by -3612291.\nAnswer: -106\/3612291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 - 101. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 43 - 11. Let x(s) be the first derivative of h*s - 6*s**3 - 3*s + 84 - 54 - 59. What is the derivative of x(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Suppose 2*j + 4*r + 26 = 128, -j = -k*r - 30. What is the highest common factor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -108*o + 16. Let s(m) = -53*m + 7. Determine 9*s(p) - 4*v(p).\nAnswer: -45*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0446 (base 11) to base 13.\nAnswer: 51b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 3*j**2 + 4*j. Let h be a(4). Let x be 27\/2 - (-6)\/12. Suppose h = 5*c + 4 - x. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -800*a**2*m - 3*a*m + 23*m + 1 wrt a?\nAnswer: -1600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565 divided by 1379?\nAnswer: 1565\/1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-31))**(-4) assuming g is positive.\nAnswer: g**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -97337623680.\nAnswer: -97337623677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + j + 47276, 86*m - 84*m + j = 23644. What is m rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - j**4 + j**3 + (3*j + 0*j + 0*j)*(3*j**3 - j**3 - 4*j**3) + 2*j - 2*j + j**4 + (0*j**2 + j**2 - 3*j**2)*(j**2 + 0*j**2 + 0*j**2) + j - j - j**4.\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5870173133 - 4\nAnswer: 5870173129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 5*u**2 - u - 2. Let b be f(-5). Suppose 2*c + 153 = b*c. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2328 = -3*r + 2*a, 3*r - 1551 = r + a. Does 48 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.8 in 1.03, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -122?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + -1*sqrt(5)) - (sqrt(720)*4 + -5))**2.\nAnswer: -530*sqrt(5) + 14070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444543856?\nAnswer: 2, 109, 254899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = -3. Let f be -1 + (3 - j) + 57. What is the highest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/5*-523*7. Let a = 945845 - 9451019\/10. Let f = a + v. Calculate the common denominator of f and 50\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.131 and 0.302.\nAnswer: 0.039562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**4\/12 - 2*w**3\/3 + 4*w**2 + 20*w + 186. Suppose -3*m + 12 = -0*m. Let t(d) = 3*d - 4. What is m*t(n) - 5*x(n)?\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {p: 2, e: 2, n: 7}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*q - 94*q + 39*q = 14 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 964614926 + -12620057061203\/13083. Let x = 59\/49 - c. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-32))\/1*-8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77 - (-117 - -69)) + 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 365571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -0.66. Which is the second biggest value? (a) 0.1 (b) -4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 11, -6, 0.25?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 4*o - 8*o - 3*o + 18*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(5) + 0.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9861168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -2*w + 12454 + 22340. What are the prime factors of w?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002122 - 2001?\nAnswer: 12000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1110111110000111?\nAnswer: 1110111110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:57 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 45*p**3 + 35*p**2. Let c(o) = -23*o**3 - 18*o**2. Let v(h) = -7*c(h) - 3*l(h). Find the third derivative of v(t) wrt t.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -612 in -5, -3, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.39?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*r - 43743 = 468*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -101010001?\nAnswer: -101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 371, -5, -8 in descending order.\nAnswer: 371, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4, 3, 0.1, 2 in descending order.\nAnswer: 4, 3, 2, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 92401*n**2. Let h(v) = -4*v - 9. Determine h(b(q)).\nAnswer: -369604*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89871323.\nAnswer: 89871323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*t + 6 = 289*t. Solve -14 = 5*u + t*i, u = 2*u - i - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -48, -172, -420, -834?\nAnswer: -1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/((-54)\/36).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/7696 - 465593\/38480. Find the common denominator of -8\/21 and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 81 = i. Let d = i - 25. Suppose 8*y - 6906 = d*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -7\/752, 21.3?\nAnswer: -7\/752","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((w\/(w**(-7\/4)\/w))\/w)\/w)\/w*w*w)\/(w**(-40)*w))**(-11\/4))**(1\/45) assuming w is positive.\nAnswer: w**(-1837\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6 = 2*m, 0*m = -2*n + 5*m + 12. Let t = -57.8 + 52. Let d = -0.4 - t. Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:40 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.38 - 0.38. What is the nearest to -1 in -2\/7, 3, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-1)))**(-9)\/(x**(-4)*x**(-7)))**(-20\/3) assuming x is positive.\nAnswer: x**(-400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 20*c + 8. Let j(s) = -s**2 - s - 1. Let f(k) = h(k) - 2*j(k). List the prime factors of f(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.55*2.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 441 + 129. Let o(u) = 2*u**3 + 19*u**2 - 13*u. Let i be o(-10). What is the highest common divisor of i and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 6*w)*(0 + 2 + 0) + 2 + w - 2 + (1 - 1 - 1)*(-w - w + 0*w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = w. Let y(l) = -2*l**2 - 3*l**3 - 63*l + 69*l + 10 + w*l**3. Is y(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 4\/4 + -2. Let f be -3 + 4\/2 + d. Suppose f*s = -5*s + 270. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 0*n**3 - 5*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 4}. Give prob of picking 3 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2064*243\/(-45) - 4\/(-10). Suppose 36*c + m = 51286. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/17 - 2*b**2\/17 + 12*b\/17 = 0. Calculate b.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 220\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.084 in 0, -2, -1\/2, 0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2\/5 - 1758*i\/5 - 5040 = 0. What is i?\nAnswer: -14, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 14 = 1005*y - 1003*y, 34*y = 7*d + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v - 937*v - 4669 = 813*v - 74123 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 31*t = -9*t - 252 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/32)\/(-1))\/((-16)\/88).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/35)\/(-2))\/(5\/((-7125)\/(-342))).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.03321 rounded to 2 dps?\nAnswer: -3.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3505453 - -2?\nAnswer: -3505451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -93 + 104 + (-383)\/35\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 12*f + 9. Let d(s) = -s**2 - 9*s - 1. Let u be d(-10). Calculate the remainder when 218 is divided by n(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*r + 14*r - 4)*(-11*r**4 - 115*r**2 + 115*r**2).\nAnswer: -132*r**5 + 22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1\/s*s)**6*(((s*s**1)\/s)\/s)\/s**(3\/4))\/(s*s\/(s*s**(1\/3))*s*s*s*s**(-1)*(s**(-2\/7)\/s)**(-9\/8)) assuming s is positive.\nAnswer: s**(1199\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-50)\/20)\/((-99)\/45) and -59\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/24 + 25*d**5\/6 - 245*d**4\/24 - 13*d**2 - 2*d. Suppose y(k) = 0. What is k?\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4319064l to millilitres.\nAnswer: 431.9064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*c - q + 17, -2*c - 3*q + 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25750746 + -25750751.9999985. Let s = g - -6. What is s rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 h, and 1 w when four letters picked without replacement from rrhfehhfowro?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50558*z + 460 = 50538*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-4) + (-3)\/(-12). Let r(n) be the second derivative of n**6\/720 + n**5\/60 - n**4\/12 + 6*n. Let y(j) be the third derivative of r(j). Give y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199652 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576 divided by 7987?\nAnswer: -1576\/7987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**4*z + 5*y**4 + 91565*y**3*z + y**3 - 312839*y**2 + 2*y*z + 2*y - z + 1 wrt y.\nAnswer: 48*y*z + 120*y + 549390*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*(-32)\/(-6). Suppose -s = 5*a - 33, 3*h = -3*a + 24. Find the third derivative of -7*l**h - 2*l**4 - l**2 + 7*l**3 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669952 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d**2 - 7*d - 6. Let m(g) = 17*g**2 - 13*g - 11. Let u(h) = -6*m(h) + 11*w(h). Give u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2592 and 810?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oudo when four letters picked without replacement from uuduuddouoddd.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 44. Calculate v(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 160888893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/3 + 7*w**2\/2 - 136*w + 3. What is t(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*l + h, 2*l - 10 = 29*h - 26*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let v be s\/8*-1*1. Is 1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -406 + 409. What is the remainder when 48 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.021, -3, 16.67.\nAnswer: -3, -0.021, 5, 16.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -384 - -63?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-15)\/(-6) + (-519)\/6. Let g = -118180\/63 - -12540\/7. Let t = l - g. Is -3 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**5\/80 + y**4\/8 - 3*y**3\/8 + 7*y**2\/2 + 1. Let a(f) be the second derivative of z(f). Factor a(u).\nAnswer: -3*(u - 3)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -412134140203?\nAnswer: 412134140144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*i + 4*g, 1 - 21 = -5*g. Suppose -2*h - i*h + 27 = 0. Solve 2*d = -h + 11, 0 = -s + 2*d - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -256ac7 (base 14) in base 11?\nAnswer: -7a9489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, -2*q + 704 - 5834 = 3*n. What is n rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780750.\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 1 + 5. Suppose 4*k - 20 = -q. Suppose 3*z = 2*g - 7*g, -3*z - 2*g = 0. Solve -13 = -w - 0*w - 5*b, -k*w + 2*b - 14 = z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998 (base 16) to base 2.\nAnswer: 100110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5950.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpeppppaeapppp. What is prob of sequence je?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 90.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2)*1)\/(0 - 1). Let k = 3 + -2. Let m = 1 + k. Which is the closest to -0.2? (a) m (b) v (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-4))\/7*1*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/7))\/w)\/(w**6\/w))**13*w**5\/w**0*w\/(w**(-1\/7)*w)*w**(-3\/8)\/w assuming w is positive.\nAnswer: w**(-3221\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 158*c. Let s(x) = -2*x + 2. Let l(j) = -2*j**2 - 8*j + 8. Let z(y) = -l(y) + 4*s(y). What is h(z(b))?\nAnswer: 16*b**4 + 316*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2177929 and 159848.\nAnswer: 17423432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oddoodo. What is prob of sequence ddd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 9 - (10 - (-8 - 0 - 52))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -2.7. Let w = 5.1 - a. Let j be 1 + (-3)\/(-6) + -2. Sort j, -1\/6, w.\nAnswer: j, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 6072?\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 5*g + 52, -x + 5*g = 5*x - 29*x - 96 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 4, 4*g + 7 = 4*s + g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*y = k - 21, 3*k - 3*y - 24 = 0. Suppose -z = 5*u + 3 - 11, k*u = -2*z + 9. Let n(r) = 1 - u - r. Let s(m) = -2*m. What is n(s(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**6\/180 - i**5\/30 + 7*i**3\/2 + 32*i. Let h(k) be the second derivative of m(k). Factor h(j).\nAnswer: -2*j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26443?\nAnswer: 31, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2*n - 38 + 25*n**2 - 100\/3*n**3. Find the second derivative of t(a) wrt a.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*g**6*u**2 - 236*g**6 - 2*g**2 - g - 8*u**2 - 84*u wrt g?\nAnswer: 3240*g**3*u**2 - 28320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 33*n - 78.\nAnswer: 3*(n - 13)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 10 = -11*y. Suppose -65 = -y*w + 140. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 250154768*h**3 + 356*h + 31233?\nAnswer: 1500928608*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342346650.\nAnswer: 2, 3, 5, 43, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102 minus 3759.6?\nAnswer: -3759.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 439, 0 in decreasing order.\nAnswer: 439, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/5, -0.1, 16, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.14 + 1.16. What is the nearest to l in 2\/15, -0.3, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:09 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x + 0*x - 3*x + (4*x - 2*x + 0*x)*(107 - 792 - 3) + 1 - 3 + 6*x - 2*x.\nAnswer: -1371*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/32 and 71\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*k**2 - 55*k**2 + 2013*k**2.\nAnswer: 1870*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2599 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818604 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -177 - 945. Let j = h + 457. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**2 + 1691*f - 5335. What is h(-144)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 2*w. Let t be g(-2). Let f be (1 + 2\/(-4))*t. Determine u so that 2\/3*u**3 + 0 + 2\/3*u - 4\/3*u**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475874 times -3?\nAnswer: 1427622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 4 - 2)*(-3 + 2 + 0) + 8 + 0 - 34)*(2*d + 2*d - 5*d) to r*d + m and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(((-6)\/9)\/((-21)\/126))*5\/665\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 335 and 1072.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 - 5. Is q(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 8*z - 3*z, -3*x + z = 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 144*o**2 - 2. Let t be f(1). Let a = -93 + t. Suppose -a = -b + 124. What are the prime factors of b?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w*w*w**(-20)*w*w*w)\/w)**(-42)*((w\/(w**(-35)*w)*w)\/w)\/((w*w**(1\/14))\/w) assuming w is positive.\nAnswer: w**(8721\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - -4*(sqrt(66) + sqrt(66) + (-2*sqrt(66) - sqrt(66)) - sqrt(66))) + sqrt(66))\/((1*sqrt(72))\/sqrt(12)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 632, 636, 650, 680, 732, 812, 926?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25178 (base 9) to base 11.\nAnswer: 11791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6968, -5795, -3806, -977, 2716, 7297, 12790, 19219?\n\"Answer: 4*i**3 + 384*i**2 - 7*i - 7349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(675) + (sqrt(675) + -1)**2 + -3 + -4.\nAnswer: -15*sqrt(3) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = 2*f - 5*g - 15, -g = -2*f - 434. Let r = f + 227. Solve -33 + 3 = -r*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2) + (12 - 8). Suppose 0 = 6*g + k*g - 3330. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -26. Let d be 2 + 6 + (12 - s). Solve -5 = -3*q + d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b - 153. Give r(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2583 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*d**4*h + 1820*d**3 + 1335*d**2*h + 84*d**2 - 38*d*h + h wrt d.\nAnswer: 5688*d*h + 10920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*i = 311 + 324 + 113 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3) - -2)*3663\/(-2035)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 6*f - 112, -57*f = b - 61*f - 76 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**3 - 9*f**2 + 49*f + 4804?\nAnswer: 9*f**2 - 18*f + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171) + sqrt(171) + sqrt(171)*-2)**2 - (-1 + (-2*sqrt(171))**2)) + -5*(-1 + sqrt(76) + sqrt(76) + 1 + 3).\nAnswer: -697 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2. What is the tens digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 23*g = -425. Find the common denominator of g\/10 - -3 - -1 and (-18)\/(-8) + -2 - (-3)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - 4\/(56\/(-74)))*7. What is the greatest common divisor of h and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (384242\/(-10))\/(81\/(-405)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 + (-6 - -9 - 2) - 5) + 53\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*b + 13 = -2*b, 5*b + 20 = 5*o. Which is smaller: o or 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 11) to base 15.\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*o = -6, t = -4*t - 3*o + 76. Suppose 3 = -d - 2*y, 0*y = -2*d + 4*y - t. Let p = d - -7. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5 + 115. Suppose 4*a - 40 = u. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 16 = 4. What is the second derivative of h**u + 16*h**2 - 13*h + h**2 + 18*h**2 wrt h?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92895084899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.5 in -4, -0.02, -3, 44?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 1192 - 2398 + 1206.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 187*a + 189*a - 142 = 4*x, 5*x + 125 = 4*a - 159 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 828518.1 millilitres?\nAnswer: 828.5181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 396*j - 227199.\nAnswer: 3*(j - 217)*(j + 349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 65*n**3 + 5*n - 178*n**3 + 116*n**3 - 2*n**2 as p*n + c + l*n**3 + t*n**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6108*(-35)\/(-84)*-2?\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/(-40) - (5\/20 - 2). What is the fourth smallest value in -2\/29, 5, 3\/2, -1\/8, c?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-25)\/p*p**31 assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40461 + 40444.389. What is a rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/14378 - 3569\/122213. Which is the smallest value? (a) 31 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 28*z**2 - 51*z + 178. Calculate r(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 248 and -14.\nAnswer: -3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126 - -72) + 6 + 24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 4*r - 6*r + (-4*r + 0*r + 2*r)*(3 - 3 + 1) + 2*r + r - 2*r + 4*r + r - 7*r - r + 3*r - 4*r + 1)*(46*r + 105*r - 36*r)*(-r**3 + 13*r**2 - 13*r**2).\nAnswer: 690*r**5 - 115*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1136\/69 - -348\/23. Let m = -57\/2 + 29. Which is the closest to m? (a) -4 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/7 (b) -2\/30917 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-21))\/(5\/((-20)\/8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 - 18*x to v + i*x and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 5, 6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11528675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x)**(-10)*(x**(-7))**2 assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21547739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77747, -77686, -77591, -77462, -77299, -77102?\nAnswer: -76871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5\/4, -44, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2) - 0\/(-7))\/(-348 + 389)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/j)\/j**(-7)*(j*j**2\/j)**25 assuming j is positive.\nAnswer: j**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/((-105)\/66) + 0 and -24\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23875 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.256 - -0.29. Let a = -0.034 + z. Let f be -7*2\/12 - -1. What is the smallest value in f, a, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + 0.04. Let m = -3 - -1. Let z = -0.23 - 0.07. Which is the nearest to k? (a) 5 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13250368493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 3*p**2 - 5*p. Let s be n(-2). Suppose 5 = 4*g - 2*a - 5, a + s = 3*g. Let u be 4 + (5\/(-5) - g). Solve 0 = -u*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 17*q**2 + 8*q. Let k(m) = m**2. Calculate n(k(i)).\nAnswer: 17*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4 + 18*q**3 - 16*q**2 + 126*q - 675 + 110*q**2 + 727 = 0.\nAnswer: -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64021488 divided by 228.\nAnswer: 280796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321 and 2140?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffwfmwwwfffmmfm. What is prob of picking 2 m and 1 w?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39a8 - 13?\nAnswer: 3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-34)\/(-180))\/((-204)\/1683) and -13\/35.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -34. What is the units digit of 163\/d + 9\/(-15) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z - 111248 = -5*h + 66*z, -3*h - 5*z = -66764. Calculate the highest common factor of 432 and h.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 156?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 17, e: 1}. Give prob of picking 2 i.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 = 101*v - 13 - 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32379 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 7. Let r(w) = -13*w + 38. Let c be r(3). Let u be v(c). What is the nearest to -2 in 0.5, u, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhlyhhkhkkyhlh. What is prob of picking 1 y and 3 h?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 17*v**2 - 32*v + 120. Let c be f(-19). Let n(a) = 5*a - 6. Let i(h) = 14*h - 17. Calculate c*i(o) - 17*n(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9861 - 38755 = -313*l + 6788 for l.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120120228 a multiple of 14699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -21. Suppose -4*q + 2*b = 4, 3*b = 4*q - 2*b - 2. Let h be q + p - (4 + -6). Do 18 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022 + 1001020?\nAnswer: 212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061435 to the power of 1\/2, to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 96220, -4 in descending order.\nAnswer: 96220, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) - (-9)\/(-12). Let t be 11\/d*-1 - 2. Solve -x + 2*j = t, 3*x = 4*j - 25 + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91865 and 3265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 + -16 + (-3 + 2 - (0 - 28))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = b + 16, -b - 4*b = -2*s - 8. Suppose -2*n + 6*n = b. Let d(p) = -p**3 + p + 5. Let g be d(n). Solve 3*z = -g*m - 10, -z = -5*m + z + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373.6272cm in millimeters?\nAnswer: 3736.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:04 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20508 divided by 5\nAnswer: -20508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224759278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21626 - -23362. Calculate the remainder when t is divided by 136.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 7*t**2 + 8*t + 1. Let u be a(-8). Put 180, -5, u in decreasing order.\nAnswer: 180, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2155451152 + 5?\nAnswer: 2155451201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = -5*k - 4, z - 5*k - 19 = 0. Suppose 2*c - 51 = -w + 74, z*w + 332 = 5*c. Calculate the greatest common divisor of c and 480.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 67*k - 847. Determine g(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3214, 6782, 10350, 13918, 17486, 21054?\n\"Answer: 3568*z - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 - 570*c - 324. Let b be m(95). Is -338 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4741.895 minutes?\nAnswer: 284513700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t - 105 = -y + 19, 243 = 2*y - 2*t + 247 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -708981 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/100924 and -91\/44.\nAnswer: 1110164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irjzizogojrz. Give prob of sequence zio.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -838*f**2 + 423. Let p(y) = y**2 - 12. Let b(z) = -3*p(z) - w(z). Differentiate b(k) with respect to k.\nAnswer: 1670*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + b + 2 + (1 + 2 - 1)*(-3*b - 4*b + 3*b) as k + y*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Suppose -37*z = 29872 - 30834. Solve -g - w*g + 9 = 5*b, -2*b + 4*g = -z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 20*a = 80 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 1295231.\nAnswer: 777138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -249820\/49 + 5098. Calculate the common denominator of 52\/15 and r.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-942)\/(-3768))\/(1\/(-72)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -12. Let x = 30 + u. Let c = 44.3 - x. What is the second smallest value in -0.2, c, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 16*k + 1. Let q(h) = 11*h + 1. Suppose 3*v + 3*t = 6*t - 513, 5*t = -5*v - 875. Let w = -178 - v. Determine w*o(p) + 7*q(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36494787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.2, -2\/5, 0.12, 6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000756 to the power of 1\/2, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**3*l)\/l))\/(l*l**(-2)*l)*l**(-2)*l*l**(-7))**29 assuming l is positive.\nAnswer: l**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -881 divided by 179\nAnswer: -881\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2065, -4507, -6949, -9391, -11833, -14275?\n\"Answer: -2442*c + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(2736)*-5*-1 - (-5 + (sqrt(2736)*-2 - sqrt(2736)) + ((sqrt(2736) - sqrt(2736)*-2) + sqrt(2736))*6 + sqrt(2736)))**2.\nAnswer: 960*sqrt(19) + 175129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/40 - (-306)\/136)*9\/22.\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 73*x - 1480. Calculate d(20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7957 + 7947 + 102*o - 15894. Let x(y) = -y. Determine p(x(q)).\nAnswer: -102*q + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 6*u**2 - 6*u + 7. Let p be t(-7). Suppose 0 = -p*c + 5*c + d - 114, 4*c = -3*d + 100. Let y be (-4)\/8 + c\/4. Solve y*k + 20 + 0 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 22*x - 8789221. Is x 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 11:32 AM and 7:48 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -1. Let b = 8 - a. Solve 0 = 5*w + b, 4 + 2 = -5*i + 3*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 599 - 656 = 3*p, -5*k = -4*p - 76 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 358\/(-3401) + 232\/38. Let c(d) = -3*d**3 + 16*d**2 + 7*d + 33. Let r be c(u). Find y, given that -5\/3*y**r - 10\/3 + 10\/3*y**2 + 5\/3*y = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001958 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-24)\/(-204) - (-5164)\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 4:14 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b**4)\/(b**(-1))**(-1\/58) assuming b is positive.\nAnswer: b**(-407\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90702312 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-139)\/4)\/((-10)\/(-40)). Let g = 204 + l. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 2:43 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9579 - 9559 - 3*b**2 + 2*b**2 + 19138.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 4*c - 1. Let x(a) = -3*a**3 - 4*a**2 + 15*a + 38. Calculate the remainder when b(-6) is divided by x(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 - g + g + 4398669 - 7*g**2 - 8797322 + 4398653.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h + 19. Is 8 a factor of j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223717\/16 - 13978. Calculate the common denominator of -51\/5072 and o.\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 32592623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q. Suppose 4*x + 4*j - 12 = 0, j + q = 3. Let l(z) = -25*z - 26*z - 3 - 22*z + 74*z. Calculate l(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o - 7 + o + 13*o - 2*o**2 + (0 - o + 0)*(-4*o - 2*o + 5*o) + o**2 - 2*o**2 - o**2 to c*o + f*o**2 + i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*b - 15, 2*b - 2 = -4*z + 8. Let u(i) = -4*i - 2*i**3 + z - 2 + 3. Is u(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12817768 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.85. Round p to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 20 = -190. Suppose u = 5*h - 22, 0*u + 4*u + 2*h = -66. Let o = v + u. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxxr when four letters picked without replacement from xxxrxxxrxrr?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -373825 to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 638981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {h: 2, b: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 41*v - 251. Determine a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngnmrhnrrlgngr. What is prob of sequence rgr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001454 to six dps.\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*y**2 - 3*y**4 + 17*y**2 + 6*y**5 + 3*y**4 wrt y.\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 13*w - 119 = 14*w, 0 = -c - w + 25. Suppose 0 = -3*p - 5*h + c, 8 - 24 = -2*p + 3*h. Calculate the lowest common multiple of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1113 in 1\/8, 8, 2\/7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*x - 15. Find the second derivative of 4*d**x - 7*d**3 - 2*d + 7*d**3 wrt d.\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35856096 divided by 6\nAnswer: 5976016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2620 times -19.7\nAnswer: 51614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239 - 60. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, j: 1, p: 4, y: 1, k: 4, z: 3}. Give prob of sequence zkk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 12:40 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37105.14 micrograms in tonnes?\nAnswer: 0.00000003710514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -2 - 0) + -93. Let p be ((-6)\/(-8))\/(h\/48). What is the closest to -0.1 in 1, 1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:01 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 >= -3097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 228*b - 880 = 0?\nAnswer: 4, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1886272000?\nAnswer: 2, 5, 29473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*x - 0*x, -5*s = -5*x - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 - 2*l**2 - l + 1. What is t(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l + 4. Is 1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11680 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 831 - 63989\/77. Let s = 85\/308 + h. Find the common denominator of s and 23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + 0\/(3 - 4). Let t = -10 + i. Is t bigger than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 6*v + 6. Let n be j(6). Let b = n - 1. Suppose 5*z + d = 4*d + 49, -4*d - 47 = -b*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m*t**3*u - 90*m*t**2*u - m*t - 10*m*u - 18*m wrt t.\nAnswer: 9*m*t**2*u - 180*m*t*u - m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-11) + 528\/4840?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 0 - 2 - 4 - 2 + 2*j. Let d be y(4). Solve d = -4*x - 8, -4*l + 5*x - 2 = 2*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 3*j**2 - 5*j + 7. Let h(m) = -2*m**3 + 5*m**2 - 10*m + 15. Let l(f) = 3*h(f) - 7*v(f). What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Suppose 2 = -l + 3*l. Let g(f) = f - 2. Suppose 0 = -5*c - 6 + 16. What is c*d(o) + l*g(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (-28 + 45).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*n**4 - 228*n**4 + 113*n**4 + (0*n**3 + 0*n**3 + 3*n**3)*(-2*n + 2*n - n) as t*n**4 + x*n + s*n**2 + z*n**3 + j and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 4:14 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 3, m: 6, o: 1, a: 2}. Give prob of picking 1 m and 3 p.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 1250 - 88 = 0. Which is smaller: x or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 7. Let z be h(5). Suppose 5*a - 2*s = 2, -a - 2*a - z*s = -18. Put a, -4, 1 in ascending order.\nAnswer: -4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - 20. Suppose 0 = u*s - 9 - 6. Suppose 6 = 3*k, 0*v + s*k + 171 = 3*v. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-8)*s*s)\/s)**38*(s\/s**(-18))\/(s**(-2\/77)\/s*s*s))**49 assuming s is positive.\nAnswer: s**(-92694\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17 * -0.0238\nAnswer: -0.4046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:26 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*u = -231*u - 80037420. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.005 - 0.867\nAnswer: -0.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/120 and -23\/120330.\nAnswer: 481320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28c66 + 4?\nAnswer: 28c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*q*t**4 - q*t**3 + 15739*q*t - 490*t**2 wrt t?\nAnswer: -168*q*t**2 - 6*q*t - 980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.028 + 0.328. Which is the nearest to 3? (a) q (b) -1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from zdtdcrr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 573794043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Let q = u + 0. Let l(v) = 2*v - 5. Let o(a) = 3*a - 9. Let h(y) = -5*l(y) + 3*o(y). Let m(p) = -p - 1. Give q*m(j) - 3*h(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 516704 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65966.638 - 66060. What is f rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147564 by -9.\nAnswer: -16396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79313, -79073, -78833, -78593, -78353, -78113?\nAnswer: -77873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 620424060 + 64?\nAnswer: 620424154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002487755 rounded to six decimal places?\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724034142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -350\/9 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 9. Suppose -5*p + 2*t = -53, 4*t + t = -2*p - 2. Calculate j(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 6*v**2 - 61*v - 14. Let n be s(11). Let l = n + 81. Solve -m = -l, -o + 4*m + 0*m = 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = 0. Let c(t) = -t**3 + 2*t**2 + 2*t - 2. Let x be c(2). Let y(p) = q*p**2 + 3*p**x - 2*p**2. Let d(b) = 4*b**2. Calculate y(d(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -151, -210, -271, -334, -399?\n\"Answer: -a**2 - 54*a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 172 divided by -5\nAnswer: -172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25308 divided by -6327?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 15 = -3*q, c + c + 25 = 5*q. Let j(i) = 2*i - 2*i - 4 + 0*i + q*i**2 - i**3. Calculate the smallest common multiple of j(4) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*w - 12*w - 32*w - 17*w as j*w + n and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 145*r**2 - 81*r + 11707. Calculate j(145).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {z: 1, c: 1, d: 1, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -114, -158, -200, -240, -278, -314?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-16))\/5)\/(25\/(-700)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55300, -55283, -55250, -55195, -55112, -54995, -54838, -54635?\nAnswer: -54380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2. Let f(k) = -6 + 3 - 1416154*k + 1416154*k - 519*k**2. Determine f(x(p)).\nAnswer: -8304*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 * -62.\nAnswer: -8370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1225\/196)\/((-180)\/(-2160)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, -0.13721, -124.\nAnswer: -124, -5, -0.13721, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -39455.\nAnswer: 3\/39455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1957830978 to the nearest integer?\nAnswer: 44247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/((3 - 2) + 1). Suppose 5*v + 5*z = 75, 2*v + 87 = s*v + 2*z. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*n + 1328, 0 = 4*n + a - 6*a - 1352. Suppose v - 3*d - 2*d = 55, 4*d = -5*v + n. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 161*p - 2045. Let j be q(14). Suppose 0 = 3*a - 15, -3*r - 48 = -6*r - 3*a. Solve 0 = -r*b + j*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4275360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*x**3\/11 - 692370*x**2\/11 - 553824*x\/11 - 110760\/11 = 0.\nAnswer: -4615, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 7. Suppose 0 = -15*p - 104 - 1. Let v be j(p). Let f be 4\/14*(-4)\/20*v. Which is the second biggest value? (a) f (b) -0.2 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 5*x - 1 + x + 2*x. Let u(l) = -l - 2. Let v be u(-4). Suppose -4*f = 5*r + 21, -4*f - 4*r + v*r = 6. What is b(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298*p + 367*p + 401*p + 439*p + 278*p to t*p + f and give t.\nAnswer: 1187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08151 take away 0.2?\nAnswer: -0.28151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 535*a. Let h(d) = 338*d. Determine h(g(f)).\nAnswer: 180830*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*2)**2 - ((sqrt(21)\/sqrt(3))**2 + 1)) + -4.\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -12 in descending order.\nAnswer: 8, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 518845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/7))\/c*c)**(2\/45)\/(c**5*c*c**(1\/4)) assuming c is positive.\nAnswer: c**(-1567\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 0 (c) -1\/5 (d) 50187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003058986 rounded to 5 decimal places?\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 12*m + 9. Let k be o(-8). Let y = k - -20. Let d be (-29)\/(-4) + y\/12. Let i(c) = c - 3. Give i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/3 - -3)*((-1)\/(-9) - 56\/18).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-8)\/10*((-3050)\/30256)\/(15\/(-12))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**5 - 17*a**4 + 49*a**3 + 40*a**2 - 122*a - 98. Let c(j) = -j**5 - j**4 + j**3 - j. Let y(u) = -3*c(u) + f(u). Factor y(n).\nAnswer: (n - 7)**2*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q - 6. Suppose -2*i = -3*s + 32, 0*s + 3*s - 40 = -2*i. Solve k + q*k + s = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 154, 3, -591, 5 in decreasing order.\nAnswer: 154, 5, 3, -4, -5, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (15 - 12 - 15 - 4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38157611 to the nearest integer?\nAnswer: 6177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + 0.59. Let x = -6.2 - -1.2. What is the nearest to 1\/4 in -1\/2, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7155 greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -626*d - 507*d - 2188*d + 990*d - 2151*d in the form i*d + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8592399, -17184798, -25777197, -34369596, -42961995, -51554394?\nAnswer: -60146793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 5352, 0, -0.8, 2\/19 in decreasing order.\nAnswer: 5352, 0.5, 2\/19, 0, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2)\/(3\/33). Let l = p - -20. Suppose -2*u + l = -27. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12*h + 1285 = -7*h, -2*h + 1300 = 2*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 10*r + 6 = 2*y, 0 = -4*r + 5*y - 13. Suppose 3*p + 2*c = 6*c + 31, 5*c = -5. Sort r, 1, p in increasing order.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-9 - (6 - 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*o - 187 = -2*o, -3*d + 195 = 3*o. Factor 6*b**2 + 66*b**3 + 6*b**2 - 192*b - 51042*b**4 + 51052*b**4 + d + 40*b**2.\nAnswer: 2*(b - 1)*(b + 4)**2*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44030206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1853142 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4. Let l be 0 - q - (-12)\/3. Determine r, given that 2*r**4 + 0*r**2 - 8\/5*r**5 + 0*r + 0 - 2\/5*r**l = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15*d)\/d**(-8\/3)*(d*((d\/d**1)\/d)\/d)\/(d*d**22) assuming d is positive.\nAnswer: d**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 338168.\nAnswer: -1\/84542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394 a factor of 62721120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -152212 (base 6) to base 13\nAnswer: -6950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m + 15 = 21*m. Let o(k) = -5 - 1 - 4 + 8*k - k**2 - 3. Let d be o(m). Solve -d - 2 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4678*t - 2870*t + 120*t - 414120 = -1338*t for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61596 and 0.4.\nAnswer: -24638.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536828529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -21. Suppose 0 = 3*f + f - c. Let s = 9 + f. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0 + 26*z**2 - 15*z**2 - 8*z + 32*z**2 - 7. What is the least common multiple of 44 and k(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*h**2*i**2 + h**2*i + 4*h**2 - 185*h*i**2 - 2*h + i**2 wrt h.\nAnswer: -128*i**2 + 2*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 90525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -11) + 5 + -7 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.61591 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4, 0 = 3*t - 51*j + 46*j - 8. Let f(l) = -t*l + 17 + 9*l - 13 - 4. Let s(b) = 0 - 3*b + 0. What is f(s(d))?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/13424 and 107\/70476.\nAnswer: 281904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -17225987\nAnswer: 3\/17225987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -15*r**3 + 2*r + 15. Suppose 38 + 58 + 42 = -23*k. Let u(w) = 8*w**3 - w - 8. What is k*x(j) - 11*u(j)?\nAnswer: 2*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 5. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -12)\/(129\/(-60) - -2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g + 1. Let l be n(2). Suppose -52 = -6*w + 4*w. Let r = l + w. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.148 - -2.048. Let u = 0.7 - 1. Let r = 1.7 - u. Which is the smallest value? (a) 0 (b) h (c) r (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(17\/4))\/(j\/((j**(-2\/5)\/j)\/j)*j) assuming j is positive.\nAnswer: j**(-153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 945 and 21630.\nAnswer: 194670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1845516 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 81*v**2 + 115*v - 76. Determine n(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(9)\/sqrt(3))*-5)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + o + 31 = -2*o, -4*v = -5*o - 17. Let l(s) = 35*s + 253. Let f be l(-7). What is the greatest common divisor of f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88031608 to the power of 1\/2, to the nearest integer?\nAnswer: 9383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5 = -3*u, 128*x - 126*x = -5*u - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 8) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 + 244260*k + 488508 = 0.\nAnswer: -81418, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 24*n**2 + n - 1. Calculate j(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/13 < 3\/463201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(76)\/sqrt(4)*-2 + -3 + -2 + (-6*(sqrt(38)\/sqrt(2))**2 - (1*sqrt(304))**2) + -5.\nAnswer: -428 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -16. Let u(i) = 7*i**2 + 3*i + 1. Let p(c) = -63770*c**2 - 1 + 2 + 2*c - 3*c + 63780*c**2 - 2*c + 7*c. Give b*u(o) - 5*p(o).\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*t + 0 - 8324*t + 0.\nAnswer: -8536*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3 - 2*l)*(-2 + 3 - 2 - 2*l).\nAnswer: 4*l**2 + 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28292 - 18493. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 45 = -6*a. Suppose -4*p = -2*f - 3*f - 279, 4*f + 2*p + 218 = 0. List the prime factors of (a\/15)\/((-1)\/f).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-9*26\/(-273).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3828 - 2680. List the prime factors of i.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 14. Let t be z(-10). Solve 0*s - 12 = -t*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 52. Let h be w(-37). Calculate the highest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (569 - 1\/(4\/(-12))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 0*z**5 + 2*z**5 + (-z**2 - z**2 + 5*z**2)*(-z**3 - z**3 - z**3).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(9 + 10036\/(-1116))*23?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/14)\/((-550)\/(-77)))\/(3\/3)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601744 is divided by 27350.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -73*r**3\/3 + 81*r. Let w(t) = 2*t**2. Calculate w(o(p)).\nAnswer: 42632*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 148*u**4 - 192*u**4 - 200*u**4 + (3*u**3 - 4*u**3 + 2*u**3)*(u - 3*u + 3*u).\nAnswer: -243*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 68820\/4650 + -15 + -2 + 1 + (-68)\/(-15)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4675742, -9351452, -14027160, -18702866?\nAnswer: -23378570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61360 or -184082\/3?\nAnswer: -184082\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18841, 37849, 56889, 75961?\n\"Answer: 16*g**2 + 18960*g - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 4*h + 5. Let o be l(-5). Suppose -a + 0*a = 4*b, -5*b = 3*a. What is the units digit of (o + -1)*(-2 - a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (5 + 5*sqrt(450)\/(sqrt(9)*3))**2 + 5).\nAnswer: -6224\/9 - 1000*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269027 or -268497?\nAnswer: -268497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 11*f + 7*f + 5 = 0, -2*c = -3*f - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -865829.56 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + u - 154 = 0. Let t(d) = u - 9 + 607*d - 608*d. Give t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23600 equal to -24911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143.8 + 144. What is the closest to -10 in -1, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15883 + 3?\nAnswer: 15886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33*(-4)\/88)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 - 10*y + 2. Let t(b) = b**2 - 4*b**2 + 4 - 7*b + 2 - 5. Let o be 1 + 366\/(-60) - ((-88)\/80)\/11. What is o*m(x) + 7*t(x)?\nAnswer: -x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -77*t**2 - 9*t + 5. Let l(r) = -3*r - 971059*r**2 - 8 + 17*r + 971175*r**2. Calculate 5*l(z) + 8*o(z).\nAnswer: -36*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5 + f + 2 + 8. Let s be r(-12). Suppose -5*z = -s*h + 17 - 5, -z = 0. Solve -2*p + 10 = -0*p + 5*g, 0 = h*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -13*t + 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n**(-6))\/(n**(1\/4)\/(n**2*n))*n**2*n**(2\/11)*n*n**0*n*n*n*n\/((n**6\/n)\/n) assuming n is positive.\nAnswer: n**(349\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(10\/9)\/(j\/(j\/((j*j**(-1)\/j)\/j*j))*j))**(-41) assuming j is positive.\nAnswer: j**(-410\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let g = 11 - 5. Let l = g + -4. Let k be h(l). Solve k*x = 5*f + 17, -x + 16 = 4*x - f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q - 36 + 32 + 6*q. Calculate the remainder when n(9) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s + 0 - 1\/160*s**6 + 0*s**5 - 39*s**2 + 3\/32*s**4 + 1\/4*s**3. Factor t(u).\nAnswer: -3*(u - 2)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-21514\nAnswer: -2151.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -761.\nAnswer: 4\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.3. Suppose 5*l + 201*q - 27 = 203*q, 0 = -5*q - 5. What is the closest to 0.3 in r, l, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1747\/6980 + 1\/3490. Which is the closest to -6\/11? (a) -3 (b) o (c) -5 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14*1 - 18\/(-14). Let i be ((-3)\/(2 + s))\/(4\/(-8)). Solve -6*d = -d - t + 1, -i*t = -2*d - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112202201022 (base 3) to base 12.\nAnswer: -12025b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-52998)\/1815)\/(((-2)\/(-3))\/((-5)\/3)). Solve -l - 113 = 31*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 14. Let y(z) = -28*z + 18. What are the prime factors of y(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, -7, -9 in descending order.\nAnswer: -7, -9, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 4*n - 2*n + (-18*n - 107 + 107)*(3 + 1 - 3) to w*n + g and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.1, 28.8, 2, -0.4, 126.5, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1589 divided by 1\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1872) - (sqrt(1872) + sqrt(1872) + sqrt(1872)*1)).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -500, -413, -272, -77, 172, 475?\n\"Answer: 27*g**2 + 6*g - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*f**3 + 361*f**3 + 357*f**3 + 1983*f**2 - 1983*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -39. Let l be 303\/(-6) - (-3)\/6. Calculate the smallest common multiple of ((-4)\/10)\/(10\/l) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k - 0*k + r, 3*k - 1 = 2*r. Let v be k\/2*40\/30. Suppose -3*p + 24 = 4*m - 5*p, -v*m = -4*p - 6. Calculate the highest common factor of 56 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -4155689?\nAnswer: 12467067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, x: 2, r: 5, v: 3}. What is prob of picking 2 f and 2 x?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -11241, -2\/9, -1, -4\/3.\nAnswer: -11241, -4\/3, -1, -2\/9, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2. Let b(i) = 714*i - 712. Let t be b(1). Let g(m) = -m**2. Give t*d(s) + g(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 20*m + 37. Let d be r(-6). Find the third derivative of -2*v**2 - 11*v**2 - 158*v**3 + 14*v**2 - d + 16*v**3 wrt v.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 81143.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.025768.\nAnswer: 0.12884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*n - 10 - 15 - 402*n - 1 + 87*n as s*n + c and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -93. What is the least common multiple of w and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)\/(d\/(d*d**1)))\/(d**9\/(d**(2\/13)\/d)))**(-2\/25) assuming d is positive.\nAnswer: d**(664\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 20 = -g. Suppose 12 = g*x - 12. Suppose 0 = -x*k + 358 - 112. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20087069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*x - 85, 2*x + 280 = 3*u + 32. Suppose -3*a + 202 = u. What is the greatest common factor of a and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268742 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/((i*i*i\/i**(-1))\/i**(1\/4)))\/((i\/i**4)\/(i*i**(2\/3)))**(-45) assuming i is positive.\nAnswer: i**(-887\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 + 14684*h**4 - 250062*h**3 + 1059696*h**2 = 0. What is h?\nAnswer: -7359, 0, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24035 and 26015.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*6\/8*16\/12. Factor -4*b + 32 - 17*b - 21*b - 22*b**y + b**5 + 13*b**3 - 3*b + 13*b + 8*b**4.\nAnswer: (b - 1)**2*(b + 2)*(b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + (-9 - 5 - -12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5542399 is divided by 1385591.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 4940.\nAnswer: 1\/1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -61*q**3\/6 + 11*q**2 - 106*q. Differentiate v(g) wrt g.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccrrrcc. What is prob of picking 3 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2369947529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -16 + 4. Suppose -15 = 3*f - d*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 31*w**2 + 3*w + 9. Let b be r(-3). Are b and 278 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 223, 559, 1061, 1747, 2635?\nAnswer: 3743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/367 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - n + 3 - 0, 5*c = -2*n + 6. Let g(t) = -t**3 + 7*t**2 - 7*t + 8. Let o be g(6). Solve 2*k + o + 6 = c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00177 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1*2\/6). Let x(d) = d - 3. Let f(j) be the first derivative of -46 - 1\/2*j**2 + 2*j. Determine u*f(y) + 2*x(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1653 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/28 and -1 - ((-35)\/120 - 1)\/1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4070\/740)\/(22\/(-72))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -2*l. Let x(f) = f**2 - 6*f - 5. Calculate the remainder when x(-2) is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315439 * -12.8\nAnswer: 4037619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u - 17*u - c - 11 = 0, -3*u = 3*c + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r\/r**(-1))\/r)\/r)**(3\/11))**(-3))**(-13) assuming r is positive.\nAnswer: r**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 + 1)*(2*v + 2*v - 3*v)*(-2*v + 4*v - 5*v)*(7*v - 5*v + 7*v).\nAnswer: 243*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117330\/66487)\/((-1)\/(-17))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2094 + -1418. Let u = 1269 - b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 2*n + 34. Let w be h(0). Let f = w + 2. Which is the biggest value? (a) f (b) -3\/8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 778659031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 135*c - 58. Let t be s(-33). What is the hundreds digit of 46\/161 - (t\/7 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252784148 or 252784149?\nAnswer: 252784149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + (-1 - -1) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300a (base 12) to base 4.\nAnswer: -1101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2263418*h - 3031339 wrt h.\nAnswer: 2263418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 14*u + 16. Determine d(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.6 (b) -0.4 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/15883 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 6.9.\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10415*r**4 - 112*r + 6904202 wrt r?\nAnswer: 41660*r**3 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33962*k*y - 8*k + 103569*y - 1 with respect to k.\nAnswer: 33962*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6823 - 6826. Which is the closest to 2? (a) g (b) 12 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 70033?\nAnswer: 4\/70033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/165860 and 43\/2?\nAnswer: 165860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3225 - -3776701?\nAnswer: 3773454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 5:10 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32952274 and 24272.\nAnswer: 3034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r*r*r\/r**(-2\/3)*r*r*r*r))*r*(r**(-1\/25)\/r)\/r*r*(r**(9\/4))**(-18) assuming r is positive.\nAnswer: r**(-4931\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -9. Let g(z) = z + 1. Let r be g(5). Let m be (-1)\/(4\/r - 1). Solve 10 = -i*k - m*y + 1, 5*k + y = 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/15)\/(-1)*3. Suppose 0*r - 2*i + 21 = -3*r, r + 2*i = l. Let k(c) = 7*c**3 + 2*c**2 - 5. Let v(p) = 4*p**3 + p**2 - 3. Give r*v(j) + 3*k(j).\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*p**3 - 158*p**3 - 173*p**3 - 156*p**3 - 153*p**3.\nAnswer: -27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.39 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3688124)\/(-198) + 0 - 2\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.75 + -5.67. Let o = y - -30.4. Let c = o + -4. Round c to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150075\/3915*(1\/(-5))\/((-6)\/6).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 6*w + 24*w)*(0 + 2 + 2) + (-15*w - 10*w - 2*w)*(4 - 3 - 3).\nAnswer: 126*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315907.\nAnswer: 315907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -107*v**3 + 11*v**2 + 5*v + 12. Is z(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 449 + -138. Let k = w + -306. Put k, 0, -19 in ascending order.\nAnswer: -19, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5 (c) 1.1 (d) -486 (e) -282 (f) 2\/15 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -32 - -18 - -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 623, 2530, 5731, 10226, 16015?\n\"Answer: 647*v**2 - 34*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -0.5, 1\/2, 1849?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93169565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/2976*-40)\/((-3)\/(-3)*-1).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzdlo. Give prob of picking 1 d and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.55 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - 7 - 1 + 11. Let b(h) = h**2 - 2*h. Let d be b(4). Is a(d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 398.2172 + -398. Round g to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.669 * -5992\nAnswer: 4008.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 5*y - 1. Give q(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/11110 less than -0.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (5 + sqrt(13) + 0 + sqrt(13))**2 + 4 + 2 + (sqrt(143) - 1*sqrt(143))\/sqrt(11)).\nAnswer: 100*sqrt(13) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -16. Suppose 3*c - 2*p - g = 2*p, -2*c + 5*p = -44. Suppose 5*w + c = w. Which is greater: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-162)\/90*7\/(-3)*70.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 1\/2 (c) -13\/29 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21396\/35815 + 168\/247. Let r be -9 + -1 + 3158880\/324800. Let w = y - r. Is w at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-218)\/109)\/(-1 + (-33)\/(-32)))\/(12\/6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11971\/5 + (-6)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*j + 0*j - 7*j)*(-14 - 15 + 24) to r*j + f and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1707, 3433, 5195, 7011, 8899, 10877, 12963, 15175?\nAnswer: 17531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 855420 rounded to the nearest ten thousand?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2727 and 303.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256059031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6ac32 (base 15) to base 3.\nAnswer: -122021201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-2)*2939*18\/(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**5 + 5*b**4 + 45*b**3 - 5*b**2 - 100*b - 60 = 0. Calculate b.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*g - 48*g - 6*g**2 - g**2 - 1 + 1 + (2 + 0 + 0)*(2 - 2 - 2*g**2) + 0*g**2 - 2*g**2 + 3*g**2 - 2*g**2 - 3 + 3 - 3*g**2 + 3*g - 3*g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*j + 19, -q = 3*j - 17 + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2965, -5933, -8901, -11869, -14837?\n\"Answer: -2968*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-7 - (-32 + (10 - -9))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d + 1. Let m be t(7). Let a(c) = c**2 + 6*c - 7. Let k be a(m). Put 3\/5, k, 0 in increasing order.\nAnswer: k, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*10\/(600\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - 6*sqrt(1900)*-1 - sqrt(1900)) + -5 + (sqrt(1900) + 1 - sqrt(1900)))**2.\nAnswer: -480*sqrt(19) + 68416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-15*(-44)\/(-55)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/5)\/t*t**22 assuming t is positive.\nAnswer: t**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -14*x**5 + 34148*x**4 - 547616*x**3 + 43388*x**2 + 547630*x - 77536 = 0.\nAnswer: -1, 1\/7, 1, 16, 2423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/71 + 502\/781. Let d be 4\/18 - (-412)\/9. Calculate the common denominator of s and 0 + (1 - d\/(-12)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 1\/4 (b) 2\/15 (c) 0.1 (d) -4.86 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33245 is divided by 12684.\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3864 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01786 + 0.41786. Let n = 1 - 0. Which is the nearest to -1\/2? (a) w (b) n (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 34*l**2 - 286*l + 5. Calculate q(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -2\/3 (c) -4 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 + 85*u**2 - 205*u - 285 = 0.\nAnswer: -19, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(125)))**2.\nAnswer: 10*sqrt(5) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004279484 rounded to 7 dps?\nAnswer: 0.0004279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-10))\/(8*39\/(-30)). Let t = d + 515\/78. Find the common denominator of -49\/4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/11 + 104*p\/11 - 102\/11 = 0 for p.\nAnswer: 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewvv when four letters picked without replacement from evvvywewvewvxee?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((27\/(-324))\/(25\/15))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 8:00 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 2*y**2 - 3*y. Let a be z(-2). Let i be (4\/(-6))\/((-2)\/a). Suppose -2*b + 8 = i*f - 6, -5*b + 14 = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose -20*f + 1 = -19*f. Sort z, f, -2.\nAnswer: -2, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-1 + 4)*-1. Is p\/(-3) - (-92 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 - 6422988*s\/5 - 2569196.\nAnswer: (s - 6422990)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - 4*g - 1. Let q be h(-3). Suppose 14 = q*s - 5*z + 2*z, 2*z - 35 = -5*s. Let y = 3 + 1. Solve -s*a + y*a = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02336203489 to six dps.\nAnswer: -0.023362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125032*x**5 - 2*x**3 + x**2 + 259*x - 88.\nAnswer: 7501920*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1868 and -9.\nAnswer: -1877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p - 4*t + 30, 0 = 3*p + t - 11. Suppose -5*s + 3 + p = 0. Let f be 0\/(-1)*(0 + s). Solve 4*o + u = f, -u = 4*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429829 is divided by 39066?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - f = -4*f + 134, 4*f = 5*d - 613. Let v be (d\/25)\/(1\/1). Suppose -4094 - 6461 = -v*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21858 divided by -6?\nAnswer: -3643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11163, 11156, 11149, 11142?\nAnswer: 11135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3270, -5913, -8556, -11199, -13842?\n\"Answer: -2643*a - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8e (base 16) in base 5?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 + -547. Let v = 715 + k. Which is smaller: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-27))\/(56\/(-210))*8\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/15 and -145\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 789680 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 2*y - 11 + 138, -5*y = 10*r - 7*r + 18 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201400 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16692, -33385, -50092, -66819, -83572, -100357, -117180?\nAnswer: -134047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3857?\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/3 - j**3\/2 + 35*j. Let p(l) = 13*l**2 + 8*l - 4*l + 4*l - 2*l**2. What is 3*p(v) + 8*q(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.2 + -295183076?\nAnswer: -295183120.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10432 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/6 + 100\/39 and 1 + (-310)\/24 + 128\/768.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 12. Suppose -3*s + 7 = -z*t, t + s = 4*t. Solve 1 = -3*g - 2*l - t, -2*g - 33 = -5*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3658554 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -755156.3093?\nAnswer: -755156.1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z + 2*z)*(z - 2 + 2)*(1 + 1 - 4).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3474 by -3.\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 11*s + 1811. Let q = s - -168. Solve i + q = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6797*m = -6656*m - 2634444. What is the least common multiple of 6 and m?\nAnswer: 18684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 7. Let v = w - -5. Let y(t) = -3*t + v*t + t - 3*t. Let c(k) = -4*k**2. Determine y(c(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -6*w**3 + 78*w**2 - 240*w - 800\/9 = 0.\nAnswer: -1\/3, 20\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 444 - 444.5. What is the smallest value in 0.2, i, -0.3, -0.32?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (478\/4)\/(8\/32). Suppose -c = 3*k + 149 - s, -4 = 4*c. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18483.87 and 0.2.\nAnswer: -18483.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:58 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*l - 28 - 31, -2*l = 5*s + 78. What is the remainder when (-4 - -6)\/(-2) - s is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29444 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/361648 and -99\/38824.\nAnswer: 1755077744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c. Suppose c = -4*w - 0*w + q - 318, 0 = 5*w + 3*q + 389. Let g = w + 135. Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 66. Let h = 441 - o. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 853430.5 litres?\nAnswer: 853430500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1272436.2us?\nAnswer: 0.0003534545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 2*n - 8*n**3 + 58*n**3 - 44*n**3 + 1 - 8*n + 0*n**2 + 5*n**2 to p + d*n + f*n**3 + k*n**4 + s*n**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33.45861 litres?\nAnswer: 33458.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6546204.\nAnswer: 2, 3, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20234 divided by 10117\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 10*k**2 - 10*k + 6. Let i be o(11). Solve -3*s - i = -20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*l - 32*l - 296. Let a(y) = y**2 + 8*y - 15. What is a(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -471, -468, -463, -456, -447, -436?\n\"Answer: o**2 - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18\/5 - -4. Which is the closest to -2? (a) -5 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3208*l + 2099. Let s(d) = -2137*d - 1397. Let q(n) = 5*o(n) + 7*s(n). Find the first derivative of q(j) wrt j.\nAnswer: 1081","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000 - 101?\nAnswer: -11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4150213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4316 = -9*d + 5*d + 4*u, -2*u = 10. What are the prime factors of d?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 28\/5, 3, -3.\nAnswer: -3, -2\/17, 3, 28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 33 + 33 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9)*h**6)\/((h**(-1\/2)*h)\/h)**(-13\/5) assuming h is positive.\nAnswer: h**(443\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -514*j - 6426 - 16305 + 5769 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -889941*n**3 - 255197*n**2 wrt n.\nAnswer: -5339646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 15. Let h be q - -3*2\/(-6). Suppose -h*c = -2*y - 42 + 12, -21 = -2*c - 5*y. Solve 0 = -2*j + c, -4*i - 2*j - 10 = 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7392 is divided by 7355?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85100202.\nAnswer: 2, 3, 11, 19, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113*g**3*k*l**2 + 2*g**3*l + 2100*g**2*l**2 - 371*g*k*l**2 wrt k.\nAnswer: -113*g**3*l**2 - 371*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -216, 8376 in descending order.\nAnswer: 8376, 5, -5, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -28*p**3 + p. Let v be o(-1). Is 2*v - (2 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from jtjtjsosmtooiotomo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -178\/3. Let j = 1483\/982 - 5\/491. Which is the nearest to 0? (a) -0.5 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34316 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -805, -1209, -1613?\nAnswer: -2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1238365 (b) -1\/7 (c) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -318?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -42?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -402, -4, 4 in increasing order.\nAnswer: -402, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 495*u - 994*u + 113 + 502*u as r + d*u and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 434*t**2\/3 + 1320*t + 216.\nAnswer: 2*(t + 18)**2*(6*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**2 - t + 36 - 100 + 33 + 31.\nAnswer: -37*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/18 and 109\/170.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 17, -64, -217, -466, -835, -1348?\n\"Answer: -4*p**3 - 5*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 2\/3 (c) 2\/11 (d) -0.063 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-540*x**2 - 555*x**2 - 814*x**2)*(-5*x + 2*x + 4*x).\nAnswer: 3818*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - r - r + 2, -4*r = -3*n + 2. Suppose -5*i + 6 = -9. Let d = 0 + i. Put d, n, 4 in ascending order.\nAnswer: n, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103662 (base 7) to base 13.\nAnswer: -8370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 7 + -8 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16.79*7.948\nAnswer: -133.44692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5144068819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.145872 millennia in centuries?\nAnswer: 61.45872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -794*x**3 - 6*x - 5?\nAnswer: -4764*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7489 - 7503. What is the fourth smallest value in y, -1.3, 1\/3, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 1. Let m(g) = 13*g - 2. Let w(n) = -12*n + 1. Let c(y) = -3*m(y) - 4*w(y). Determine -3*c(o) + 7*j(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 33.3?\nAnswer: 33.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 3. Let s(w) = -7*w - 6. Let o be (-91)\/(-21) + (-4)\/(-6). Let g be s(o). Let p = 38 + g. What is t(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59785269 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*r - 41*r + 31*r as k*r + i and give k.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -195*z. Let m(i) = -8*i. Calculate n(m(t)).\nAnswer: 1560*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -4 (b) 0 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1308744 divided by 219.\nAnswer: 5976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**3 - x**2 + 1. Let t(v) = -v**2 + 912 - 4*v**3 - 910 - 5*v**3. Let h = 1 - -2. Suppose h*g - 3 = 2*g. Calculate g*t(q) - 5*k(q).\nAnswer: -2*q**3 + 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*y + v - 7005, 4*y = 5*v + 5621. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -g + 2*y, 129*g = 135*g + 4*y + 54 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i\/i**(2\/5))\/i))\/i*i*i)\/i)**(11\/2))**(-47)\/(i**(-2\/9)*(i**1*i)\/i*i*(i**(-1\/9)*i)\/((i\/i**(2\/9))\/i)) assuming i is positive.\nAnswer: i**(-32831\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1899*s**3 + 218 - 140*s - 1901*s**3 - 312*s wrt s.\nAnswer: -6*s**2 - 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*a - a. Let d(l) = -l - 12. Let n be d(-12). Suppose 2*r + 5*q - 15 = n, -32 = -r + 3*q + 3. Solve 0 = -a*w + 3*w - r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 4}. Give prob of picking 2 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.23 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-449)\/1575 - 218\/(-763). Let q(m) be the third derivative of 0*m**3 + m**2 + i*m**7 - 1\/180*m**6 + 0*m + 0 + 0*m**4 + 0*m**5. Factor q(v).\nAnswer: 2*v**3*(v - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*x + 19 - 55, 22*p - 12*p - 9 - 15 = 13*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404*(-2 + 81\/18).\nAnswer: 2, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 161 + 84. Let h = -43 + x. Let s(v) = -v**2 + 4*v + 13. Let n be s(h). Is -2\/69 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*b + 13*b - 839 - 449 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(6\/((-78)\/65)). Suppose 4*m - 2*l - 10 = 0, 5 = -m - 3*l + 18. Put z, m, -0.2, -23 in increasing order.\nAnswer: -23, -0.2, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + (-9)\/(-18). Suppose 2*f + 3*p - 11956 = n, -4*p + 32022 = 4*f + 8106. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/80370 and -25\/996?\nAnswer: 13341420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 17\/2)\/((-20)\/(-379878)). Let b = -9499 + d. What is the common denominator of -123\/10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilfifgfililfqlf. What is prob of sequence lg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 745868.5ml?\nAnswer: 745.8685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d*d)\/(d**(-10)*d*d*d))\/(d\/(d*d\/(d\/((d\/d**(-5\/4))\/d)*d)*d)*d**5) assuming d is positive.\nAnswer: d**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412136334 a multiple of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*c + 9992 = 0, 3*c + 3211 + 2801 = 3*z. Round z to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/5688 and 31\/6?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*f + 83 = 0, 2*u + 106*f - 107*f = 27 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*v - 76 + 43, 0 = 8*z - 2*v - 54 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*r + 438, 283 = 3*y + r - 379. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -26. Let y = 0.24 + -3.24. Let a = o + y. Put a, 0, -2\/9 in descending order.\nAnswer: a, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*u - 1037 = 3*r, -4*u + 1044 = 5*r. Let h = -1257 - -1272. What is the remainder when r is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 102010200012?\nAnswer: 102010200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 707.7\nAnswer: -212.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 758\/9. Which is the smallest value? (a) 11 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12796.96 times -0.12\nAnswer: 1535.6352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-28)*v*v*(v\/v**(-27)*v)\/v*v)**33 assuming v is positive.\nAnswer: v**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1216.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-70268)\/(-66) + (-2)\/3. Suppose -d - 1063 = -f. Let o(h) = 1. Let x(s) = s + 1. Let y = 1 - 2. Calculate d*o(m) + y*x(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - -5.04. Let g = 112.5 - 112. Which is the biggest value? (a) 1\/3 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**3\/6 + 98*m**2\/3 + 389*m\/6 + 97\/3 = 0.\nAnswer: -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - d + 1. Let a be u(-2). Let l be (-3 + a)\/(-1 + -1). Let t be (l\/8)\/(-1 - -2). Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-1\/9)*z*z*(z**(-11)\/z*z)\/z assuming z is positive.\nAnswer: z**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -17. Which is the nearest to 2\/5? (a) f (b) 4 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 4. Let n(g) = -g - 6. Suppose -5*d + 20 = -0*d + 4*j, -2*d = -2*j + 10. Let z be n(d). Give y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/1260 and 83\/540.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22020 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480739 and 138033?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 100271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 - 2976*u**4 - 2*u**2 - 265*u?\nAnswer: -60*u**2 - 71424*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 25. Calculate g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18870 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 0 = 3*f + 2*b - 4 + 1, 3*f = -b. Let n be 9*((-1)\/f)\/3. Solve 0*c + 1 = -c + q, -n*c = -4*q + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 s when four letters picked without replacement from rsilyrlilqqqqiqiyii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233954 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -710.\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/152 - (-7)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -299 - -1430. Calculate the lowest common multiple of 6 and s.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from {b: 1, g: 6, j: 9, l: 3}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvx when three letters picked without replacement from {x: 2, v: 2, n: 1, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-two fifths of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62122 - 3510 = 1578*d - 199*d - 18612 for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*m, 4*m = 3*m + w + 8. Let l = -10 + 19. What is the remainder when l is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 5*j**2 + 5. Suppose 0 = a - 0*a + 5. Determine y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 6. Suppose 2*f = -3*r + 79, -2*r - 113 = -6*r + 5*f. Calculate the lowest common multiple of (r\/6)\/(3\/6) and u(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1933 or -3863\/2?\nAnswer: -1933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 0*c**2 + c + c + 0 - 2 + c**2. Calculate v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 4*t**3 - 1 - 9*t**3 + 11*t**3 to s*t**2 + b*t**3 + z*t + p and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 9. Let w = 12 + -9. Let x be c(w). Find the third derivative of 3*m + 3*m**2 - 2*m**2 - x*m - 5*m**5 wrt m.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -17 + 14952\/384 + -26.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16144884373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**8\/1120 + i**7\/840 - i**6\/720 - 5*i**3\/3 - 4. Let a(o) be the third derivative of q(o). Factor a(j).\nAnswer: j**2*(j + 1)*(3*j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366057 divided by 267\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t*(t\/t**(-5\/3)*t*t)\/t*((t\/(t*t**1)*t)\/t)**(-23))\/(((t**(2\/11)\/t)\/(t\/((t**3*t*t)\/t)))\/(t**(-1)*t**(-1\/15)*t*t*t)) assuming t is positive.\nAnswer: t**(1123\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flyyfygyfkffygy. Give prob of sequence yffg.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -18*w + 10*w. Suppose -w*f - 2*f = -12. Solve -4*c - 4 - 12 = -2*k, -f*k = c - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/6 (b) -3 (c) -39 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 - 326. Let b = r + 147.000079. Round b to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(56\/12)*-2. Suppose 4*q = -j + 133, -t*q + 136 = -2*j + 446. Suppose -5*c = z - 674, -z + 5*c + 495 = -j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**4 + 144*n**2 + 17*n + 8 wrt n?\nAnswer: -48*n**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 154693077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -61.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1)**2 + 0.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5631822 and 1974?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 84. Suppose -4*u + 9*u - b - 20 = 0, 0 = 4*u + 3*b - h. Suppose -4*p - 16 = 4, 34 = c - u*p. What is the smallest common multiple of c and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11224033 (base 5) to base 9.\nAnswer: 164535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1706*m + 650. Let a(p) = 854*p + 323. Let g(y) = 5*a(y) - 3*n(y). Differentiate g(v) wrt v.\nAnswer: -848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1728) - -2*sqrt(1728)) + sqrt(1728))\/(sqrt(27)\/(sqrt(3)*-3 - sqrt(3)))*-2*6)**2.\nAnswer: 7077888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236445\/28 - -8448. Let l = 1316125 - 18463143\/14. Let b = l - -2678. What is the common denominator of b and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78211669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*d**2 + 1)*(d**2 - d**2 - d**2) + 0*d**4 + 2*d**4 + 0*d**4.\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1. Let c(o) be the first derivative of 11*o**2\/2 + o - 1445. Give -3*b(d) - c(d).\nAnswer: -11*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 6. Let p be i(-7). Let z(q) = 3 + q + 17 - p + 4. Let j be z(-3). Solve 0 = -t + j*t + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7)*(k**(2\/7)\/k)\/k)**(2\/37))**(34\/7) assuming k is positive.\nAnswer: k**(-136\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/(-16) + 15 + -23)\/((138\/(-48))\/(-23)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/22 and -143\/948.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/14 + (-135)\/(-35) + -10. Let r(b) = -2*b**2 - 8*b + 10*b**2 - 9*b**2 + 11. Calculate the remainder when r(l) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.069 and -2370339194.\nAnswer: -2370339194.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-320)\/(-32))\/5*143\/2. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1332 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/56*(-8)\/3.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -55?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 143 times 0.7\nAnswer: 100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 141.5. Let g = -37 + 73. Let k = g - f. What is the third biggest value in k, 2, -0.4, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*a - 2*z - 133, -2*a + 4*z - 1500 = -1506 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/704016826 and -19\/16.\nAnswer: 5632134608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 + 32*t - 75. Determine d(8).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpheihp. What is prob of picking 1 h, 1 e, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2387 by 11.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/51168 and -29\/28.\nAnswer: 358176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 1, x: 7, y: 5, c: 2, d: 1}. Give prob of picking 2 y and 1 m.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = -2*a + 2*h, -5*a = 3*h - 23. Let o = -5 + -2. Let d = o + 16. Solve f - d = -a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, q: 1, p: 4, n: 4, e: 3, a: 1}. What is prob of sequence qa?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*h - 73. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 29 = -0*h - 5*w, -3*w + 29 = 4*h. Solve 0 = -3*j + 7*j - h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22058639 is divided by 110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -302696.9 and 0.3?\nAnswer: -90809.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17686625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/(25\/12600*-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)\/s*s**(-5)\/s)\/(s**(1\/2)*s)**(1\/16) assuming s is positive.\nAnswer: s**(-1167\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*v + 8494 = 0, 2*b - 8500 = -b + 4*v. Let a = 4297 - b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 7*f**5\/5 + f**3\/3 - 4. Let u(s) = 10*s**4 + s**2. Let j(x) = 5*u(x) - 7*z(x). What is the third derivative of j(t) wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:47 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -9, -3, 5?\n\"Answer: q**2 + q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1334926\/487107 + -4\/18041. Let c = 1703\/270 + s. Find the common denominator of 133\/30 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*t - 257478*n**2 - 164*n*t - 2375*n wrt n?\nAnswer: -2*t - 514956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 31*x - 703. Let g be l(25). Suppose 2*k + 292 = 6*k. Is k bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 2 = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9464325 and 13260?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w. Suppose 0 = 7*b - 14*b + 42. Let o be (-1)\/b + (-65)\/(-30). Let u(n) = -11 + 6*n**2 + 11 - 4*n**o. Give a(u(v)).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -18\/128131189 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174644?\nAnswer: 2, 43661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6 + 7*f - 22 + 7 - 32*f**2 + 4. Let u(n) = 63*n**2 - 13*n + 11. Let t(c) = 9*a(c) + 4*u(c). Find the second derivative of t(s) wrt s.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4857 - -2?\nAnswer: -4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.9 + 9.33. Let r = -0.4300004 + o. What is r rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.981523731 to 3 decimal places.\nAnswer: -16.982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtmtjd. What is prob of picking 1 t and 1 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -7 - 24. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from ggglgcltggggggglxt.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 - 36636440.\nAnswer: -36636543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 7*c**2 + 13*c + 14. Let q be l(-5). Is 626 + 1 + q + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4\/7 - 6052*u**3\/7 + 12136*u**2\/7 + 24208*u\/7 - 48480\/7 = 0. Calculate u.\nAnswer: -1515, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8391 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 2\/27 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1815)*-1 + (-4*(sqrt(15) - sqrt(45)\/sqrt(3)) - sqrt(15)))\/(sqrt(9)\/sqrt(3)*-6 + sqrt(3) - (sqrt(3) - (sqrt(24)\/sqrt(2) - sqrt(3)))).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(75) + -2*sqrt(75) + sqrt(75)) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11010 and 11080?\nAnswer: 12199080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31346\/3 - -10449. Let v = -0.3 - -0.4. What is the closest to 2\/13 in w, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 1833948 = -25*j - 3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 6277007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 - 4*c + 9. Let x(t) = 2*t**2 + 2*t - 4. Give -4*k(a) - 9*x(a).\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 - 218. Let s(d) = -14*d**3 + 6*d**2. Let u(r) = 55*r**3 - 25*r**2. What is y*s(p) + 6*u(p)?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 377 = -389 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-6)\/4)\/((-311119)\/80890940).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 5) to base 8\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342 + 969. Suppose 0 = -4*n + 137 + x. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 55, 60, 63, 64, 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.1 + 10. Let y = -0.2 - v. Let i = 83\/42 - 11\/6. What is the nearest to y in 0, 3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) 1 (c) 0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23630 and 19529500?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 153 times 0.3\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1\/719, 1\/134?\nAnswer: 1\/719","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -13*w + 9*w - 10, -3*f = -2*w - 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 n when four letters picked without replacement from {m: 1, l: 3, n: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*r + 5*r - 9*r to s*r + a and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*h - 3 + 9, 5*h = -5*u. Let z be -3 + 6 - (-1 + u + 810002). Round z to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 11*h**4\/2 - h**3 - 5*h**2\/2 - 3*h - 16. Is d(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.1. Let w = 0.8 - 1. Let s = -1.9 - -2. What is the closest to b in w, s, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 0 + 45. Let u(j) be the second derivative of -j**4\/12 - 5*j**3\/2 - 5*j**2\/2 + j. Calculate u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 67*x**2. Let k(f) be the second derivative of f**3\/2 + 196*f. Determine j(k(n)).\nAnswer: 603*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.489 (b) -4\/5 (c) 1\/2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -562*b**2. Let w(y) = -2*y. Determine w(u(v)).\nAnswer: 1124*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3438162 and 468?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854009070?\nAnswer: 2, 3, 5, 59, 563, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 - -3. Let c be 15\/2*(-28)\/35. Put c, 1\/3, j in ascending order.\nAnswer: c, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.9149 (b) 2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:05 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/304 and 47\/228.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let n be ((-8)\/(-12))\/(b\/9). Let j be (-2)\/(-8) - 6\/(-8). Put j, 3, n in increasing order.\nAnswer: n, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - -0.27. Let k = -0.59 - -0.29. Put h, k, -0.07 in decreasing order.\nAnswer: h, -0.07, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1065445*g**4 - 70*g**3 + 3979196*g**2 - 5*g.\nAnswer: 25570680*g - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/3*-3 - 0. Let c(m) = -6 + 0 - 8*m**2 + w*m + m**3 - 5. Calculate the remainder when c(8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -30*f + 3008. Let z(k) = -11*k + 1002. Calculate 6*a(v) - 17*z(v).\nAnswer: 7*v + 1014","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -2526.86?\nAnswer: -505.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213*q - 93*q + 69*q + (-q + 0 + 0)*(0 - 4 + 6).\nAnswer: -239*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57764904 and 23064?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -21. Suppose -h - 4*t = t - c, 8 = 4*t. Calculate the remainder when 3 + (-3)\/(0 - 3) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*v = -13, -v - 2*v = 5*k - 1. Suppose 0 = -w + k + 3. Is 5 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5454 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (217 + 444 - 670) + (0 - 91 - -1)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.9. Let k = -27895 + 27891. Sort k, -1\/6, j, -5 in ascending order.\nAnswer: -5, k, -1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, 19, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2*((1 - 3) + 6). Suppose -3*z + 22 = y*z. Let s be (-3)\/108*3*(-18)\/z. What is the closest to -1 in 4, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12289507 or 86026551\/7?\nAnswer: 86026551\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8943 + -0.1057. Which is the nearest to -1? (a) 8 (b) 5 (c) t (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**2. Suppose -3 = -b + 2*b. Let t(d) = -290*d**2 + 890*d**2 - 295*d**2 - 302*d**2. Calculate b*m(l) - 5*t(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 + z**3 + 0*z**3)*(402 - 1496 + 7933 + 1730) to the form c*z**2 + o*z**3 + d + x*z and give o.\nAnswer: -8569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*w = -245*w - 16, -2*b + 2*w = -12. Sort -2, b, -288 in descending order.\nAnswer: b, -2, -288","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u**2 + 5*u. Let b(a) = 119*a + a**2 - 348*a + 0*a**2 + 109*a + 119*a. Determine -6*b(c) - t(c).\nAnswer: 5*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d + 4*d - d - 8*d + 2*d. Let v(k) = 14*k. What is z(v(y))?\nAnswer: -98*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35704*q + 1250213 = -13813*q + 418355 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1765 = 3*d - 2*j, 5*d + 593 = 6*d + 4*j. What is the highest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.97987 weeks to minutes.\nAnswer: 261877.0896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 18, 47, 88?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 50*p. Let v(z) be the second derivative of z**4\/6 - 31*z. What is v(c(r))?\nAnswer: 5000*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 10.011. Let c = m + -0.181. Let v = c - -0.2. What is v rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/11*9\/(-6). Let y = 20\/11 + q. What is the closest to -1 in y, 0.23, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 20. Let c be s(0). Let r = -28 + c. Let o(y) = y + 9. Let k be o(r). Solve k + 1 = -2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j**3 - 53*j**2 - 5*j - 2. Let n(k) = -41*k**3 + 272*k**2 + 25*k + 11. Determine -31*m(r) - 6*n(r).\nAnswer: -2*r**3 + 11*r**2 + 5*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g + 366 + 939 = -2314 + 31 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, x: 5, a: 8}. Give prob of sequence axe.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4 - f + 0 - 2. Let x(n) be the second derivative of -n**3\/6 - 7*n**2\/2 - 3*n. Let m = -52 - -48. Determine m*x(a) + 5*b(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let g = 150658 + -150661. Which is the second biggest value? (a) -0.5 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336260 is divided by 1010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose -2*l + 0 - 2 = n. Let c be 6*-2*l\/4. Solve 1 = c*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -408, -367, -288, -159, 32, 297, 648?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101406299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 984 and 95694.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3701440 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + -0.4. Let b = x + 7.7. Round b to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*i - 188, -10 = -i - i. What is the first derivative of -16 - 223*p**4 - 192*p**4 + 442*p**4 - s wrt p?\nAnswer: 108*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -57653\nAnswer: -230612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l, -5*w + 36 = -3*w + 3*l. Let b be (2\/4 - w\/24)*-2. Put -1\/6, 21, b in ascending order.\nAnswer: -1\/6, b, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78 and -0.08.\nAnswer: 77.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143254300727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10011 (base 2) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -39\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 10559 - 831. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 317. Calculate the smallest common multiple of 4 and w.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96573002, -193146005, -289719010, -386292017, -482865026, -579438037, -676011050?\n\"Answer: -v**2 - 96573000*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33884 - 31244. What is the smallest common multiple of 70 and r?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.513 + -14248736.999?\nAnswer: -14248742.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + h = -46 - 40, 0 = 5*v + 2*h - 114. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -21790224085.\nAnswer: -21790224090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 1\/11, -3.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2 - 2*m - 8. Let x be o(-4). Calculate the common denominator of 605\/x - ((-5)\/7 - -1) and -67\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 391*m**2\/2 + 2779*m - 7007\/2 = 0. What is m?\nAnswer: -13, 7\/6, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328040 is divided by 327835?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339657\/28 - 12128. What is the common denominator of k and 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/6*39\/(4563\/(-1092)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3639843 minus 20.41?\nAnswer: -20.0460157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1\/(-6)*(-20)\/(-10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13421*k**2. Let a(r) = 5*r - 32. Calculate a(c(g)).\nAnswer: 67105*g**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5 - 7\/(-6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568295 and 43680.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-9))\/(-4)*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47888 in -41, -1, -5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/733 - 28571\/5864. Suppose 0 = -2*i - 4*l + 7*l + 40, -3*i + 60 = -2*l. Suppose -16*n - 44 - i = 0. Do n and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(38\/(-285) + 79\/30). Let d(u) = u**2 + u + 1. Let j(g) = 10 + 5*g**2 - g**2 - 4 + 4*g. Give y*d(o) - j(o).\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y - 0*y. Suppose 0 = 3*m - 1 - 11. Let i be (m\/10)\/(4\/100). Solve -i = -y*f + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 31*r**2 - 276*r - 369. Calculate a(-38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18014667 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -12*x - 2*k - 103078, x = -5*k + 51491. List the prime factors of x.\nAnswer: 3, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80966 divided by 6?\nAnswer: 40483\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -566.\nAnswer: 1\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27933 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18277, 36550, 54823, 73096, 91369, 109642?\nAnswer: 127915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 25*v**2. Suppose -2*o + 200 = -2*j, 4*j = -2*o + 51 + 137. Suppose 196 = 3*k - k - c, k - 3*c = o. What is the remainder when k is divided by q(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4983 by 453.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-3)\/sqrt(2).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 3*r**2 + 9*r + 7. Let f be u(5). Let n(m) = 5*m - 9. Let q be n(f). Let j be -4 - (-7 + (q - -2)). Put -1, 4, j, -3 in ascending order.\nAnswer: -3, -1, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -12?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*m**3*y**3 - 116949*m**2*y**3 - 206*m*y**3 - 114*m - 2*y**3 + 11*y**2 - y wrt m?\nAnswer: 102*m*y**3 - 233898*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, -2, 16, -20, -209?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 8:10 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.012 + 0.188. Let s = 2 - -2. Sort s, x, -5 in increasing order.\nAnswer: -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b13 (base 13) in base 8?\nAnswer: 24647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 441a5 (base 13) in base 4?\nAnswer: 132013020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205938 - 76304. Let b = j - 129638.799936. Let l = b + 4.8. Round l to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -0.4, 4\/3, 0.2 in ascending order.\nAnswer: -0.4, -0.01, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39652 millilitres in litres?\nAnswer: 0.00339652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06719439015 to 5 decimal places.\nAnswer: -0.06719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:09 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/42*(-14)\/(-3). Let b(f) = k*f**2 + 2*f - 6*f**2 - f + 1 + 6*f**3 - 2*f**2. Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 - 8 = 0. Find the first derivative of 0 - a - 10*k**2 + 0 wrt k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73559849 by -2071.\nAnswer: 35519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -13*i**6\/5 + i**5\/10 + 1583*i**4\/12 + i + 853. Find the third derivative of v(t) wrt t.\nAnswer: -1872*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12555, 50410, 113509, 201858, 315463?\nAnswer: 454330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + y = 69, 5*i - 65*y = -68*y + 67. Calculate the lowest common multiple of 1268 and i.\nAnswer: 8876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l + 6 = 0. Let m(k) = -6*k**2 + k**3 + k**l - 1 - 2*k**2 + 4*k + k. Let o = 6 + 0. Determine m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 2*a**2 - 2*a + 3. Let j be n(-3). Suppose 0 = 9*y - 56 + 47. Suppose j = 2*m - 3*m + y. What is the biggest value in m, -4, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -20 (c) -12 (d) -0.4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:39 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1019, -4872, -11299, -20294, -31851?\nAnswer: -45964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1615*t**2 + 5850*t + 505. Let x(p) = -125*p**2 + 450*p + 39. Let z(h) = 3*o(h) - 40*x(h). Factor z(m).\nAnswer: 5*(m - 3)*(31*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 57*l - 4*l**4 - 59*l + (-l + l + l**3)*(3*l + 2*l - 3*l) + 3*l**4 - l**4 + 0*l**4.\nAnswer: l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = 12. Let i(y) = -y**3 - 4*y**2 - 3. Let v be i(-4). Put -5, g, v in ascending order.\nAnswer: -5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42451310 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/12)*o**5)\/(o*o**(2\/41))**(-33) assuming o is positive.\nAnswer: o**(19283\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 - 91*y**2 + 598*y - 840 = 0. What is y?\nAnswer: 2, 5, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6369 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + -1*(sqrt(68) + -2) + sqrt(68).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 at most as big as -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/(sqrt(8) + sqrt(24)\/sqrt(3)))\/(sqrt(729) - 2*sqrt(729)))**2 + 1 + sqrt(700) + -2 + 2.\nAnswer: 331\/324 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 9*w + 8. Let q be m(8). Suppose q = 2*o - 2*r + 16, 3*r + 26 = -2*o - 0*r. What is the units digit of (2\/(-5))\/(2\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -1.4. Let i = -0.5 + 0.2. Which is the third smallest value? (a) i (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.6 - -6.8. Sort w, 2\/11, 2, -0.5 in descending order.\nAnswer: 2, w, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29736\/375948)\/(7*1\/3).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2361*a + 44880. Calculate q(19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1118 (base 10) to base 6.\nAnswer: 5102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2. Let p(o) = o**3 - 10*o**2 + 9*o + 6. Let x be p(9). Let u be (-2)\/2 + 8\/x. Which is the closest to u? (a) h (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244958 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 61. Which is bigger: -50\/11 or f?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3381 and -3\/2507.\nAnswer: 368529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-234)\/(-195))\/(126\/35))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*s - 19. Suppose -s*m - 72 = -332. Suppose 4*x = 5*j + 556, j - m + 747 = 5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 7*p + 7. Let u(w) = 3*w - 3. Let c(a) = 2*q(a) + 5*u(a). Let h(z) = z**2 + z. Let g(m) = 5*c(m) - 15*h(m). Factor g(i).\nAnswer: -5*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23c968 (base 13) in base 6?\nAnswer: 30204024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 431, 633, 821, 989, 1131, 1241?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51*((-21 + -23)\/(-22) - 5*6\/10).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**5\/4 + 73*o**4\/4 - 135*o**3 + 403*o**2 - 456*o + 112 = 0.\nAnswer: 1\/3, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -40, -32, 0, 68, 184, 360, 608?\n\"Answer: 2*r**3 - 6*r**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 839981823 to the power of 1\/2, to the nearest integer?\nAnswer: 28982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -374*j**2 + 2682*j - 2681. What is k(1)?\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4583062\/9 - 111862079\/234. Let h = r + -31182. Find the common denominator of h and 111\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519399?\nAnswer: 7, 217057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 - t**3 + 0*t**3)*(t + t + 2*t) + 7*t + 4*t**4 + 0*t**4 - 3*t**4 as o + h*t**3 + z*t + b*t**2 + r*t**4 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = 0, -2*q - q + 16 = 4*v. What is the closest to 32 in q, -0.4, 0.5, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -15. Put -5, l, -1\/9 in ascending order.\nAnswer: l, -5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*34\/51?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220*h = -1292*h - 288 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -2*sqrt(704))**2 + 4.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/31, -4, 4\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -153, -249, -279, -237, -117?\n\"Answer: v**3 + 27*v**2 - 184*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.37129 + 0.02871. What is the fifth biggest value in 0.1, -1.1, 1\/4, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let o = 9.58 + -16.58. What is the third smallest value in -2, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/14 and (830\/(-12))\/(-5) + 0\/(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333 + 332. Which is the nearest to o? (a) 9 (b) 0.15 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 69 = 41. Solve 0 = -2*p - 4*y + r, 25*p - 4*y = 26*p - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyci when four letters picked without replacement from ybcviidcby.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -126. Suppose c + v = 3*z - 4*c, 4*z - 4*c = 44. What are the prime factors of z\/32 - 373\/(-2)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3270*z**3 - 1772*z**2 wrt z?\nAnswer: 19620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 30, 8 in descending order.\nAnswer: 30, 8, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edssmssessdmdmemd. What is prob of sequence smms?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10e (base 16) to base 10\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 11 = 9*v. Is ((-4)\/8)\/(v\/13522) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68675 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5483 - 5425. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -70 (b) 0.1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 16. Let q(b) = 2391 - 1199 - 1197 - 3*b + b**2 + 4*b - b**3 + 9*b**2. Let c be q(v). Solve -a + c*d = 9, 2*a + 3*d - 7 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (7 - (10 - (-14 - -48))) - 12.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/(28\/(-84))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = 0. Suppose 2*f + 0*f - 96 = x. Let r be -7*(-1)\/(21\/18). Calculate the highest common divisor of r and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 7*k + 3*k)*(498*k + 1 + 1211*k - 4 + 2)*(-2*k**2 + 6*k**2 - k**2).\nAnswer: -10254*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - y = -1373, 3*k = 5*y + 1397. Suppose -309 = -3*b + k. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 4. Let c(f) be the second derivative of -f**3\/6 + f**2\/2 - 11*f. Suppose -3*s = -6 - 0. Let z = 1 - s. Determine z*w(q) - 3*c(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 - r - 4. Let n be g(3). Suppose -n*x + 138 = 12. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/28)\/(336\/(-49) + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 94. Let r = s + -33. What is the tens digit of 77 - 6*r\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169013565 divided by -34755\nAnswer: -4863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 1 = -2*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 5*u**2 + 3*u + 5. Let b be m(-4). Let p(t) = t**3 - 6*t**2 + 4. Let l be p(5). Which is greater: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.76 + 4.76. Which is the closest to 8\/5? (a) -1\/5 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -53. Let i(b) = 14*b + 7. Let l be i(5). Calculate the highest common divisor of l and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3467 + -3281.1. Let j = 186 - o. Which is smaller: -2\/197 or j?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 794, 1573, 2336, 3071, 3766, 4409, 4988?\nAnswer: 5491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 513\/228*38\/(-171)*-118*1.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, m: 1, h: 2, t: 3, r: 1}. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*39\/(-12)*-6 - 1. What is the greatest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + (sqrt(1280) - 1*sqrt(1280) - sqrt(1280)) - (0 + sqrt(1280))**2*4 - -2*sqrt(1280)*6*-5).\nAnswer: -5122 - 976*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4062389 and 352740?\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwmlwlmozwwmolzwz. What is prob of sequence momw?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -14, 1 in decreasing order.\nAnswer: 1, -14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:16 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i - 22*i + 8*i + 5*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*s**2*u**3 + s**2*u**2 + 19*s**2 - 18*s*u**3 - 11*s*u - 4 wrt u?\nAnswer: -60*s**2*u + 2*s**2 - 108*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656933434?\nAnswer: 2, 13, 599, 106391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 - -162. Put -5, 6, b, -4 in descending order.\nAnswer: 6, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-909)\/202*22\/(-18)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdxed. Give prob of sequence ddex.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {s: 1, d: 6, a: 2, c: 2, y: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4 + 4*l**3\/3 - 8*l**2 - 16*l - 24. Factor d(y).\nAnswer: 4*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24021.62956 to the nearest one hundred.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 24*q + 44. Let y(n) = -n - 2. Determine 4*r(a) + 88*y(a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1343304442?\nAnswer: -1343304441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -468576 divided by -4.\nAnswer: 117144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1023 + -153150353?\nAnswer: -153151420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 122 from -0.119.\nAnswer: -122.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**4 + 2*u**3 - u**2 - 2*u. Let t(v) = -8*v**4 - 10*v**3 + 2629*v**2 + 10*v - 1142. Let b(d) = 5*g(d) + t(d). What is the derivative of b(i) wrt i?\nAnswer: 8*i**3 + 5248*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 19344?\nAnswer: 677040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(40) + (1*sqrt(320))\/sqrt(8) - sqrt(40))\/(3*sqrt(16)\/sqrt(2)) + 3).\nAnswer: 2*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 15*o - 9. Is k(13) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 3*c**2 - 11*c - 2. Let u be v(-5). What is the highest common divisor of u and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*o - 72*o - 72 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16840721 and -430.9.\nAnswer: -16841151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d**5\/5 - 12*d**4\/5 - 4*d**3\/5 + 12*d**2\/5 - 4*d\/5 = 0 for d.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -619*d**5 + 16880*d**2 + 7*d - 327 - 16881*d**2 - 63 - 9*d**4 wrt d.\nAnswer: -12380*d**3 - 108*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 2*d**2 - 2*d**2 + 3*d**2 + d**2 - 6*d**2 + (-4*d + 4*d - 2*d)*(-113*d + 170*d + 251*d).\nAnswer: -620*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 3*q**6\/10 - q**4\/2 + 8*q - 9. Let d(r) be the first derivative of n(r). What is the third derivative of d(h) wrt h?\nAnswer: 216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -24*n + 40*n + 55. Let v(r) = -8*r**3 - 3*r**2. Let g(f) = -24*f**3 - 10*f**2. Calculate n*g(b) + 10*v(b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 254770112 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -19*n - 11. Let c(m) = 11*m**3 - 8*m + 8. Let q be c(1). Let x(b) = 9*b + 6. Determine q*x(z) + 6*h(z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -41, 0.8, 1, 4, -8 in increasing order.\nAnswer: -41, -8, 0.01, 0.8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 21 - 21)*(3*x + 1 - 1)*(4 - 3 + 0) to the form u*x**2 + h + y*x and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51961 and 5661476461?\nAnswer: 5661528422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16*b = -3861. Let g = b + 843. What are the prime factors of g?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 8. Let b(t) = 1. Suppose -2*n + 1 = -3*u + 5, -3 = n - 2*u. Let k(i) = n*s(i) + 8*b(i). Let f(z) = 17*z. What is f(k(m))?\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 (base 9) in base 6?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29.5? (a) 0.13 (b) -0.2 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose k - 25 = -4*l - 2*k, 45 = 3*l - 3*k. Suppose v = 6*v - l. Solve -4 = -v*o - u*z, 0*z = o + z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*w - 15*w - 3. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 11. Let j be d(-12). Let v be (-1 - j)*2\/(-4). Suppose -31 = -3*w - v. Calculate the remainder when 17 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012822 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-18 + 15)) + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 9*g**2 + 2*g - 7. Calculate o(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from kkkkkkmmfmkkmmkmfmkk.\nAnswer: 77\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 3 = 5147*n + 7273*n + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 + 2620*h**2 - 1308*h**2 + 54 - 1312*h**2 in the form l + u*h**2 + r*h + n*h**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and (-651)\/(-2) + 13\/156*-18.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((6*((sqrt(98) + -1 - sqrt(98)) + 0) - (-2 + (sqrt(98)*2 - sqrt(98)) + -2))*5 + 5))**2.\nAnswer: 5600*sqrt(2) + 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 50 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 34 = -5*g, g + 2*a - 5*a = 0. Let k(o) = 4*o**2 + o - 17 - o. Is k(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 6, r: 4, l: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 858\/14 + 50\/(-175). Suppose -x = 4*m + 1 + 4, 4*m = -8. Suppose -x*w + f = -110. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 35*f + 22. Let d be w(-17). What is the highest common divisor of d and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*y**4 - 5*y**2 - 2*y wrt y.\nAnswer: -1296*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 652 divided by -4\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-9)\/(-12) - (-2 - -7). Let d(c) = -15*c + 17. Let m be d(n). Suppose 5*h - 253 = 4*v, 6*h + m = -v + 4*h. Is v <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 at most 6836\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1147336*m. Let w(f) = 4142*f. Determine 5*k(a) - 1384*w(a).\nAnswer: 4152*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -317*g**4 - 12*g**3 - 44900*g + 1 wrt g?\nAnswer: -3804*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 5*j - 31, 1020*o - 5*j - 23 = 1019*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 20 = -5*u, -4*r - 3 = 17. Calculate the remainder when -1*(-112 - (-4 + u - -2)) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108070, 216104, 324138?\nAnswer: 432172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3303906425 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.012 (b) -0.2 (c) -0.3 (d) -6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4649 and 27.66?\nAnswer: 12.859134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4)*m)\/m**(-1\/16) assuming m is positive.\nAnswer: m**(-31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*u**2*y**4 - 2*u**2*y**3 - u**2*y + 16*u*y - 2*y**2 wrt y?\nAnswer: 324*u**2*y**2 - 12*u**2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -21*m. Let p(t) = -t**2 - 4*t + 1. Let u be p(-3). Let g = -222 + 223. Let j(d) = u - g - d - 3. What is j(q(i))?\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4471 + -0.4471. What is the nearest to 0.2 in 1\/11, o, -2, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14411, -14438, -14465, -14492, -14519, -14546?\n\"Answer: -27*a - 14384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 665533154 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24555 (base 6) to base 11\nAnswer: -2838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130043*n - 104754*n - 123119*n.\nAnswer: -357916*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -258 + 109 + 159 - ((-1 - 0) + 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579811778 and 1446?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2598 and -0.002072.\nAnswer: -2598.002072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46\/7 (b) -2 (c) 4\/7 (d) 3\/13 (e) 291 (f) -1\/2 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 6*k**2 + 3. Let h be (-4)\/14 - (-51)\/7. Suppose 0 = -2*y + h + 13. What is the lowest common multiple of g(6) and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 + 431 = 4*w - m, 2*m + 205 = 3*w. Let j = -48 + w. What is the highest common divisor of 187 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 406 and 20.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 7. Let f be l(-5). Let v = -4 - -12. Suppose v + 1 = 3*z. Solve z + 9 = -f*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z**2 + 41*z - 6. Let l be p(3). Suppose 3*g - 4*v - 143 = l, -98 = 80*g - 83*g - 5*v. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11134*t + 1505661 - 102777 for t.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 508909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11630.64 decades in centuries?\nAnswer: 1163.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 32. Let b be p\/4*-3 + -4. Sort -0.1, -0.01, b in increasing order.\nAnswer: b, -0.1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11010 is divided by 296.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -444404?\nAnswer: -444403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1137329*d**2 + 2502788*d.\nAnswer: -2274658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1288745 and 16415.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1466, 157, -1152, -2461?\n\"Answer: -1309*g + 2775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 3120 = -18*j + 10*j. What is the highest common divisor of j and 1846?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66*(102\/(-255))\/((-6)\/5*1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -6*q + 41. Let r(o) = o**2 - 18*o - 32. Let y be r(q). Solve 5*x - 3*l + y = 0, 5*x + 16 = -3*l - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and -0.2551607?\nAnswer: 8.9306245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ac8bc0 (base 14) in base 6?\nAnswer: 325401512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 6. Let g = 9 - 8.6. Let l = 0.4 + -0.2. Which is the nearest to l? (a) -3 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5447*p**2. Let q(s) = -361*s. Determine q(y(r)).\nAnswer: -1966367*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*a - a. Sort a, 5, -0.09.\nAnswer: -0.09, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**7\/36 + n**6\/90 - 7*n**5\/120 - n**4\/36 - 11*n. Let k(f) = 0. Calculate f.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 661 + (362 - 1048) + (1 - -78) + -1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 5*l**3 + 29*l**2 - 8*l**2 - 15*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70426899 - -10126899. Round l to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 10 = -w. Suppose -272*o = -121*o - 104*o - 2021. What is the remainder when o is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3846 and 11448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/50 and -59\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -385\/4. Let r(g) be the second derivative of 0 - 3\/5*g**5 + o*g**4 + 1\/3*g**3 + 0*g**2 + 2*g + 7\/30*g**6. Determine l, given that r(l) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -10039 in decreasing order.\nAnswer: 2, -6, -10039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 - 11. What is the remainder when w is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 1 (c) 15 (d) 1455 (e) 0.18 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.2 * 0.5.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 370 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -1\/5 (b) 3 (c) 0.16 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4087\/4 - 1022. What is the nearest to 0.1 in 0.07, -4, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1119*l**2 - 3*l**4 - 145*l + 1121*l**2 + 31*l - 3 + l**3 to the form c*l**4 + r*l + u + o*l**2 + j*l**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-280)\/(-15) + -19)\/(1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiyk when four letters picked without replacement from {k: 1, y: 8, w: 7, i: 2}?\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 10e9a79?\nAnswer: -10e9a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = u + 5*q - 27, 0 = 4*u + 5*q - 57. Suppose u*g = 3*g + 18040. List the prime factors of g.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/435497 + -63146783\/122810154. Find the common denominator of b and 149\/24.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 74639910 - 358*b + 74639910 + 358*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302413 (base 7) in base 9?\nAnswer: -276685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 3. Let v be l(2). Let s be 9214 + ((-2)\/(4\/2))\/v. Let b be (-6)\/(s\/(-9200) + 1). Round b to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19388 or 368384\/19?\nAnswer: 19388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from vmmivtkvvtivtmtkvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38502 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 7296, 3 in decreasing order.\nAnswer: 7296, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*2\/((-8)\/(-6)). Let a(q) = -3*q - 1. Let c(d) = 6*d + 14. Let t(v) = -4*a(v) - c(v). Let p be t(2). Put 13, p, o, 4 in increasing order.\nAnswer: o, p, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 306*k**3 - 34*k**2 - 219541.\nAnswer: 918*k**2 - 68*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3788?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - 2) + (-54 - -38 - -22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 856600 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*d + 9 - 1, -4*d - 14 = 3*l. Factor 2\/3*b**2 + 4\/3 - l*b.\nAnswer: 2*(b - 2)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-3)*9\/((-189)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:06 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 + -130. Calculate the lowest common multiple of d and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + 1.82. Let c = k + -1.7999906. Round c to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3\/7 + 444*i**2\/7 = 0.\nAnswer: 0, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*z - 199 + 581 - 180 - 202.\nAnswer: 193*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.90249 to three dps.\nAnswer: -10.902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321020221 - -11?\nAnswer: -1321020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**3 - 1797945*w**2 - 1797980*w + 10787700 = 0.\nAnswer: -3, 2, 359590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 438, 661, 886, 1113?\nAnswer: 1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyo when three letters picked without replacement from yddyyyjydjjoyk.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - -362) + -3 + 6. What is the greatest common divisor of c and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4463\/8 at least as big as -558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*m = -0*u + 128, 32 = -u - m. Let x be 0\/2 - (-5 + 2). Let h be (u\/(-6))\/(x\/36). Round h to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u**3 - 7*u**2 - 9*u. Let r(t) = 3*t**3 + t**2 + t. What is -2*g(j) - 15*r(j)?\nAnswer: -5*j**3 - j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + n + 6*n - 2 - 3*n. Let o be m(3). Suppose -204*c + 348 + 214 = 154. Solve p + c*y + 1 + 1 = 0, -3*p + 4*y = -o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + (-2346)\/23 + -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m**2 - 13*m + 5. Let f(j) = -3*j**2 - 3*j + 1. Let d be (-3 + 2)\/(3\/(-9)). Let l = 1 - d. Give l*s(g) + 9*f(g).\nAnswer: -g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*-3 + 14\/((-9800)\/(-4845)) and 63\/160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2136 divide 46300924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand 83*p**3 + 0*p - 79*p**3 + 2*p - p**3 - 4 + 4 - 3 - p**3 + 3 + (p**3 + 3*p**3 - 2*p**3)*(-3 + 3 - 2).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29846*s**3 - 56955*s**3 + 30031*s**3.\nAnswer: 2922*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2427028.02 to the nearest 10000.\nAnswer: -2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 4*z)*(-4 + 3 + 5) + (0 + 4 - 3)*(2*z + 8*z - 4*z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*m*p**3*q - 7*m*p - 4*m*q**2 - 5*p**3 - 353*p*q**2 wrt m?\nAnswer: 10*p**3*q - 7*p - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52811.7 and -3?\nAnswer: -158435.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15985 = 4*m, -4*m = 16 + 4. Let f be (842375\/(-46))\/(2 + c\/1600). What is f rounded to the nearest one million?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -61. Suppose -3*z + v = -2*s, -5*s = -0*z - 4*z. Find the third derivative of 725*p - 29*p**2 - 725*p - 11*p**s wrt p.\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 792 + -786. Solve 3*z = 2*n + 16, 5*n - 7 = j*n - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366440 (base 7) to base 9\nAnswer: 112045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + h + h**2 - 3*h**2. Suppose -3*g = -2*g + 20. Let q = g + 16. Let s(m) = -2*m**3 - 5*m**2 - 4*m. Determine q*l(w) - s(w).\nAnswer: 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1566 = -27*f + 25083. Sort f, 4, 2, -5, -3.\nAnswer: -5, -3, 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(204) + sqrt(204) + sqrt(204))*4 + sqrt(204))\/(sqrt(60)\/(sqrt(5) + sqrt(5)*-2 - sqrt(5))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (39\/52)\/((-6)\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4151458 is divided by 50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) + (sqrt(119)*5 + sqrt(119))*-5))\/(sqrt(84)\/(-3*sqrt(12))).\nAnswer: -90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**2. Let u be d(1). Let c(p) = 5*p - 8. Let s(r) = 6*r - 9. Determine u*s(z) - 7*c(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -1410639\nAnswer: -169276.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 11. Let r be h(-7). Suppose 5*z = r*z. Suppose z*d - 26 = -2*d. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 473 + -143. List the prime factors of i.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6792, 6794, 6798, 6804, 6812, 6822?\n\"Answer: d**2 - d + 6792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x - 1127 = -172*x + 2498 - 349 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/44 + (-3)\/4. Let p(z) = 3*z**3 - 2*z**2 + 1. Let r be p(s). Let v be r + -3*(-10)\/15. Which is the second biggest value? (a) 0 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 13 + 3. Let l(d) = 4*d - 12. Let w be l(q). What is the tens digit of 32 - (-7 + 4 + w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2831 divide 141744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*a**3 + 0*a - 6*a**3 - 36*a**2 - 54 + 2*a + 4*a**3 + 4*a**3 wrt a?\nAnswer: 12*a - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469305 by 5.\nAnswer: -93861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7 (b) 14 (c) -1 (d) -0.0136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6980245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Let t be -1*((-12)\/2 - 1). Let m(y) = y**3 - 7*y**2 + y - 7. Let u be m(t). Is i > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2865 by 8.\nAnswer: -2865\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 6*k**2 + k - k**2 + k**3 - 4. Suppose -j - 10 = 4*u - 7*u, 5*u - 10 = 0. Let h be s(j). Solve h = -5*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + u - 95105 - 22950, -t = -3*u - 39325. 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(r) = 4*r + 34. Let j be i(-9). What is the tens digit of (-3 - j)*3395\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g + 4. Let q(m) = 1. Let t = 12213 + -12211. Determine t*q(i) + v(i).\nAnswer: -i**3 - i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3 + 92034*f**2 - 4135455*f = 0?\nAnswer: 0, 45, 30633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 2. Let v = 0.82 + -0.42. What is the second smallest value in v, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 271282 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.077 + -0.077. Put 0.2, -2, -1, c in ascending order.\nAnswer: -2, -1, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1430*s - 98543. Give y(-69).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 69\/(-10) + (-1)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5 = -p + 5*h, 0 = -3*p + 4*h. What is the third smallest value in 2\/3, p, 2\/11, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 104 - 104 - l + 2*l - 2*l + (5 - 2 - 2)*(-l - l + 4*l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32777000 rounded to the nearest one hundred thousand?\nAnswer: 32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + 44\/12. Suppose 30 = d*z - 54. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/129 - -7111\/258. Let f be (2\/(12\/(-1774)))\/((-30)\/335). Let d = f - 3305. Find the common denominator of d and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 0*w**2 + 4*w**2 - 14*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 677800 and 1022600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*f + 1197. What is the remainder when 795 is divided by f?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 2*p**2 - 4*p**4 + 2*p + p**2 + 4*p**2 to the form n + h*p**4 + x*p + w*p**2 + o*p**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -851524 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010010011 (base 2) in base 11?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (1 + (sqrt(76) + 5)**2 + sqrt(76) - sqrt(76))).\nAnswer: 120*sqrt(19) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/17 or 2\/5?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**3 + 6*n**2 - 117*n + 6. Let u(i) = -i**3 - i**2 + i - 1. Calculate -h(b) - 6*u(b).\nAnswer: -b**3 + 111*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j. Let u be k(2). Let a = u - -10. Sort -4, 2\/13, a in descending order.\nAnswer: a, 2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 21*h - 462. Let x be z(22). Factor 6\/7*a**2 + 9\/7*a + x*a**4 - 12\/7*a**3 + 3\/7*a**5 - 6\/7.\nAnswer: 3*(a - 1)**3*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -20)\/5 - -2. Solve -3*t = -i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x*x**(-1\/2)*x)*x*x*x)\/x*x))**(-17\/6)*x**(1\/12)\/x*x**(1\/7))**(5\/2) assuming x is positive.\nAnswer: x**(365\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1164*i + 3112. Let t be g(3). Which is bigger: t or -378?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 + 6.1. Let t = 6.999993 - a. Round t to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232355049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o - w + 41 = 0, 2*o + 4*w - 20 = 0. Suppose 5*d - 4*m - 16 = 0, 0 = -4*d - m - 2*m - 12. Solve 4*p + d*p = -o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 + 2 = 3*d, 5*d - 2 = -3*m. What is the remainder when (17 - d) + 9\/3 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/5 - 1792*o**4\/5 - 41983*o**3 + 1792*o**2\/5 + 209916*o\/5 = 0?\nAnswer: -1666, -126, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -32*a - 4. Give l(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, -2, -1\/2, 562?\nAnswer: 562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3708, 2, -2079 in decreasing order.\nAnswer: 3708, 2, -2079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41758554.\nAnswer: 2, 3, 67, 109, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*k = 6*a + 30, 2*a + 10 = k. Let h be (-987)\/(-28) + (-3)\/a. Let v be (-62)\/(-14) + h\/(-84). Solve v*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1031155309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7174 and 113307.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1, -65, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/3 (b) -3.1845 (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 757328337 by 227631.\nAnswer: 3327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 175520*y - 122098700.\nAnswer: -5*(y - 34394)*(y - 710)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)*y)\/y*y**0*(y*y\/(y**1\/y))**(-11\/9)*((y\/((y\/((y*y**(-7)\/y)\/y))\/y))\/y*(y\/y**(1\/3))\/y)\/(y**(-1))**(1\/46) assuming y is positive.\nAnswer: y**(-1916\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4350000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -8.4145926?\nAnswer: -5.04875556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0487 + -0.0213. Is -3 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**1)**(-3\/4)\/(a**15\/a**(2\/15)) assuming a is positive.\nAnswer: a**(-1027\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**4\/12 - 2*x**3\/3 + 17*x**2 + 9. Determine l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 58*c + 408. Let y be j(-7). Let q be (-7 - -8)*(y + 1). Suppose -i - 13 = 3*r - 0*i, -5*r = 2*i + 23. Sort 2, q, r.\nAnswer: r, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 7 = -4*y. Calculate the remainder when 32 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34674 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1111869953 and 383605.\nAnswer: 1112253558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 509242.9mg?\nAnswer: 509.2429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 3196*z**4 + 5*z**2 + 3270*z**4 - 6468*z**4 + 1 + 30*z**3 to u*z**2 + x*z**4 + p*z + k*z**3 + r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-4)*1300\/39 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/5 + -1. Which is the closest to -1\/4? (a) o (b) -0.5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 21*h**2 - 2 + 20*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let r(j) = 2*j. Let u(o) = 3*r(o) - 5*z(o). Let h be u(-1). What is the nearest to h in 2, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 4*s**2 + 2*s - 1. Let i be d(-3). Suppose -4*z - u + 3 = 0, -2*z - i*u - 4 = 2. Let g(k) = 2*k - 5. Let r be g(6). Solve -z - r = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 90\/855973?\nAnswer: 90\/855973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 6*c + 68 = 0. Let h = 21 - c. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.9. Let v = j + 1. Let w = 0.0000032 + v. Round w to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*m**3 - 1392*m**2 + 3*m - 2776.\nAnswer: 132*m - 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.078166 rounded to two decimal places?\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/21 in -1, 0.4, 1\/4, 323, 129?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (10 - (9 + -14)) + -20 + 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -411 in -2\/3, -3, 1.1, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1009*q + 315*q - 52960. What is the remainder when q is divided by (2*3)\/(-3) - -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240184 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19010 divided by 62\nAnswer: 9505\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842024 + 1248149?\nAnswer: 3090173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*q - 424, 3*h + 3*q - 440 + 140 = 0. What is the least common multiple of ((-3)\/(-2) - 1)*(116 + (1 - 21)) and h?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3702771 + 7275944693\/1965. Let w = l - -4\/131. Which is the nearest to 0.3? (a) 2 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.04, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogoyooooyooyuouoouou. Give prob of picking 1 y and 2 o.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**2 + 1831*r + 239191.\nAnswer: 2*r + 1831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = 3*t, 5*t = -4*x - 17 + 1. Suppose s - 6 - 2 = t. Suppose -10 = -5*p - 0. Solve 0 = b + i + p, i - s = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 0\/2)\/(-6 - -4). Suppose 7 = 3*a - 5. Suppose 5*y = -s - 1, 2*s - 18 = 2*y - 8. Sort k, a, y.\nAnswer: y, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23464 (base 7) to base 13\nAnswer: -29c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884951 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 728.8337 days?\nAnswer: 1049520.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -77. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/278 (b) -2\/15 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*c = -63 - 17, 5*c + 81 = -4*p. Let t = 21 - p. Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 + 6*l**2 - 9*l + 5. Calculate r(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.5 - -7. Let f = 1.5 + u. Let o = 6.9999985 + f. What is o rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490492.\nAnswer: 2, 47, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65533 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: Suppose 3*g = -3*o + 855, -645 = -4*g + 4*o + 503. Let q = g - 276. Solve -5*z = -4*s - q, 4*z - 3 - 5 = 4*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-89 + 5)*4\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -774\/19 (b) -0.4 (c) 3 (d) 0.091\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 8:05 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**5\/4 + 5*d**4\/4 - 5*d**3\/2 + 5*d**2\/2 - 36*d - 52. Let a(r) be the first derivative of k(r). Factor a(w).\nAnswer: -5*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -68*w - 3. Let z be k(-2). Suppose 3*h + z = 613. Calculate the least common multiple of 4\/18 - h\/(-9) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (9 - 7 - 12) - (-27 - -2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 103, 112, 135, 178?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-27)*((-95)\/25 + 2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.9 + 56.4. What is the nearest to -2\/5 in 2\/11, 3\/44, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 975 = 16*y - 1025. Sort 0, -4, 1, y, -1 in descending order.\nAnswer: y, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*u**2*x**2 - u**2 - 3430*u*x**4 - 17*u*x - 3*u + x**2 - 86 wrt x?\nAnswer: 28*u**2 - 41160*u*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 8\/9*n**3 - 172\/3*n**2 - 28 + 760\/9*n = 0.\nAnswer: 1\/2, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221705330.\nAnswer: 2, 3, 5, 29, 59, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 - 973*w + 77082 = 0 for w.\nAnswer: 87, 886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + h - h + (3 - 5 + 4)*(1 + 5 - 3)*(-3 + h + 3)*(2 - 1 + 0) to q + w*h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 230645383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntnnanlllnnal. Give prob of sequence alnt.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 189*y**2 + 249*y + 8. What is the remainder when x(3) is divided by 164?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + 2\/12*50. Let c(i) = s + 13 - 9 + 2*i. Calculate the remainder when 9 is divided by c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1954 + 1868. Is d at most as big as -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/(q**8\/q))*q**6\/q)\/(q**(1\/2)\/(q\/(q*q\/(q**(-3)*q)*q*q))))\/((q\/q**(-1\/4))**3)**29 assuming q is positive.\nAnswer: q**(-401\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 5*s**4 + 94 + 0*s + 0*s**2 + 0*s**3 + 4\/5*s**5. Suppose f(c) = 0. What is c?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d = -45. Find the common denominator of 136\/d*3\/4 and 67\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112652625 - 1?\nAnswer: 112652624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265 times -12485.2?\nAnswer: -15793778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2943, -11386, -25457, -45156, -70483?\n\"Answer: -2814*a**2 - a - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 74*l**2 - 75*l - 115. Is 13 a factor of w(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8521312 divided by 9?\nAnswer: -8521312\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*i = 490*i + 2675024. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179\/7 - -26. Suppose 0*o = -2*o. Factor o + 3\/7*w**2 + 0*w + y*w**3.\nAnswer: 3*w**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (873 - 876)\/((-6 - -1) + (6 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o - 3. Let w(j) = -j**3 - 3*j**2 + 4*j - 1. Let a be w(-4). Let m be (1 - 0)*(a + -4). What is the units digit of u(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**4\/3 + 2*v**2. Let l(n) = -9*n. Suppose 38 = -3*u + 56. Suppose -g = 3*j - u, -4 = -j - 0. Give g*y(x) - 5*l(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -2389, -8140, -19355, -37852, -65449, -103964, -155215?\nAnswer: -221020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-9)\/(-1485)*11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.57 > -78\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 1580 = 8*v. Suppose 3*g + 2*f - v = 30, f - 2 = 0. What is the highest common divisor of g and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(2499) - sqrt(2499)*-1) - (sqrt(3264) + (1*sqrt(3264) - sqrt(3264)) + sqrt(3264))*-5)\/(4*sqrt(243)*1 - 3*sqrt(9)\/sqrt(3)*6))**2.\nAnswer: 114308\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202202020211 (base 3) in base 9?\nAnswer: 682224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297015 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 6536835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760845 plus 5.8?\nAnswer: 1760850.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:04 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1726581759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c - 316 = 85*c. Let x = 225 + c. Is x greater than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 11. Let b be t(9). Let x(q) = -b*q + 5*q + 3*q. Let c(f) be the second derivative of -f**3\/3 + 2*f. What is x(c(z))?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 3, z: 3, c: 4, p: 7}. Give prob of sequence cz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 48*n - 49*n - 6, -6*s - 293 = -3*s + 37*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/220)\/((-378)\/60)*7)\/((-102)\/(-22)).\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7777 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1392 and 19836?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 174.246267?\nAnswer: 696.985068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x**3 + 2*x**2 - x + 1. Give p(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283600 is divided by 422.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105588, 108568, 111548, 114528, 117508, 120488?\nAnswer: 123468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5496, 10997, 16498, 21999, 27500?\n\"Answer: 5501*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5218, 5224, 5226, 5218, 5194?\nAnswer: 5148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2506 and 0.043 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + h - 8 = -h, -2*t - 21 = -5*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**3 - 23*g**2 - 1754*g - 11. Let m(l) = 2*l**3 - 4*l**2 - 351*l - 2. Calculate 11*m(a) - 2*x(a).\nAnswer: 2*a**3 + 2*a**2 - 353*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 27520 and 36.\nAnswer: 27556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*n**3 + 63*n**3 + 16*n**4)*(0*n + 0*n - 4*n).\nAnswer: -64*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 24 + 28 + h - 52. Let j(r) = 3*r**2. What is j(a(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3 = l. Let h(y) = -10*y**2 + 66*y + 13. Let d(z) = 7*z**2 - 47*z - 9. Let r(a) = -7*d(a) - 5*h(a). What is r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 12. Let d be y(7). Suppose -3*t - 5*f + 118 = 0, -d*t + 94 = f - 132. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 29\/(-9) - 190\/(-45). Let u be 34\/(-11) + (l - 1). Sort -0.4, -0.2, u.\nAnswer: -0.4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/11 - 37\/44. Let a = -74569\/63 - -24854\/21. What is the nearest to r in a, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 23. What is the second derivative of -4*c**4 - 3*c**2 - 5*c**4 - n*c + 3*c**2 wrt c?\nAnswer: -108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59722 + -42153. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*f + 317*f - 956*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*c - 50 + 10, 0 = 3*c - 2*z - 41. Let f(o) = -139*o + 18 - 149*o - 138*o + 450*o - o**2. Is f(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + 63\/45*-5. Solve 0*l + 4 = -g*m + 4*l, 3 = -4*m + 5*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 748 = 472. Solve 0 = -35*k + p*k + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 486?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*t + 60. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:01 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2172973608 - 44*b - 2172973608.\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1282 at least as big as -1284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/36 - 9\/(-81))*(-4 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4508.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 774 - 492. Let p = 495 - b. Suppose 0 = 4*x + 5*s - p, -6*s = x - 2*s - 56. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-92)\/10 - 4\/(-20). Let v(f) = 4*f**2 + 3*f + 1. Let x(t) = -17*t**2 - 13*t - 5. Give h*v(w) - 2*x(w).\nAnswer: -2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50917408*o**4 - 92967846*o**3\/7 + 2463588*o**2\/7 - 19784*o\/7 + 48\/7 = 0 for o.\nAnswer: -2\/7, 3\/656, 2\/197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10260 and 31212?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/749 + 2287\/3745. What is the fourth smallest value in 23, 0.3, -4\/3, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91d - -2?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -161847, 4 in ascending order.\nAnswer: -161847, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tut when three letters picked without replacement from {g: 7, z: 2, u: 3, t: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*g**3 - 2 - 116947*g**2 - 3 + 5 + 116947*g**2.\nAnswer: 253*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/10))\/q**(-3\/4))\/(q**(-4\/3)*q*q**(-4)*q) assuming q is positive.\nAnswer: q**(323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 49167 = -5*p - 49185 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/16608020 and 47\/5460?\nAnswer: 348768420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-4) - 36\/(-4). Let i(o) = o**3 - 3*o**2 - 4*o - 8. What is the remainder when 63 is divided by i(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16890191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669887*b**2 + 669887*b**2 - 9*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from burrtdbbb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509 is divided by 388?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/120 + f**5\/12 - f**4\/8 + f**3\/6 - f**2\/2 - 2*f. Let t(x) be the first derivative of m(x). Calculate t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 + 111. Let i = -36 + g. Let d(q) = -3*q + 7. Let k(h) = 16*h - 36. Determine i*k(n) - 11*d(n).\nAnswer: n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 29 = -2*c - 13, 5*c = i + 4. Sort c, 1, -5, -22 in decreasing order.\nAnswer: 1, c, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*k**2 + 1770*k + 17405.\nAnswer: 5*(k + 59)*(5*k + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 + -152. Suppose 0 = y*f - 25, -5*p = -0*f + 2*f - 25. What is the highest common divisor of p and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose 4*q + 4*f = 80, 0 = 5*q + f + b*f - 98. What is the lowest common multiple of 22 and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66*67\/4422)\/((-2)\/66).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1694*g**3 + 2*g**2 + 5*g - 5. Let q be v(1). What is the remainder when 95 is divided by q\/34 - (-56)\/476?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 - 2*j - 19. Let v(w) = -4*w**2 - w - 19. Let f(i) = 5*t(i) - 6*v(i). Let d be f(5). Let z = d + 50. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(4 - z - 4) + (2*z - 2*z + z)*(-4 + 1 + 1) - 43*z - 15*z - 45*z.\nAnswer: -106*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233995 and 1?\nAnswer: -233995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 16 - 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 21. Suppose j*c = 2*i - 36, -c - 7 + 2 = 0. Solve -4*v - 4 = 5*x - i, 4*v - x - 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93651 + 14917 = 5*v - u, 21687 = v - 4*u. What are the prime factors of v?\nAnswer: 5, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:28 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2, -0.2, 0.05 in ascending order.\nAnswer: -2, -0.2, 0.05, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 869, 1206, 1541, 1874, 2205?\nAnswer: 2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q - 3. Is (266\/4)\/(q\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 2 = 68. Calculate the lowest common multiple of k and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -32, -16513\/13, -0.091?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36, -112, -228, -384?\n\"Answer: -20*h**2 - 16*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 - 35. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 71 + 14*h**2 - 138.\nAnswer: 14*h**2 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2352 to 2 dps.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 14 = 2. Suppose 7*h - 5*z - c = 3*h, 0 = h - 2*z - 2. Let t = 14 + -13.9. Put t, h, 2, 5 in increasing order.\nAnswer: h, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2632823 and 2632841 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 72 + 23 = 0. Let w = y + 23. Suppose s - 2*g = -0*s - 5, 0 = -s - 3*g + 10. What is the highest common factor of s and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 15 = -2*h + 2, 3 = -z. Suppose -4*w - 2564 = -h*w + f, 3*w + 2*f - 2576 = 0. List the prime factors of w.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a + 57. Let b be x(-11). Let z(n) = n**2 - 6*n + 7. Let f be z(9). Let o = -31 + f. Solve b*j - 7 - o = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -75, -162, -283, -438, -627, -850?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439499 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**3 - 8*u**2 + 3*u - 4. Let j be k(-4). Suppose 4*a = -3*n - 64 + 440, 4*n - j = -4*a. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**6)\/x**(-3\/7) assuming x is positive.\nAnswer: x**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(1 + (-1)\/2). Let w = p + 1. Let t = w + 2. Let h(d) = -2*d + 1. What is h(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*q - 578*q - 15 = 3*x, -4*x + q - 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.189 - 0.271. Let l = i - -10.5. Let t = 0.04 - l. Which is smaller: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*b + 98, 0 = 41*b - 46*b - 2*a - 111. Sort -2, b, 3 in ascending order.\nAnswer: b, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -53*w**2 - 375*w - 20. Let i be a(-7). Solve 29*f + 7 = 26*f - h, -4*h + i = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -384 - -387. Solve 2*l = 3*k - 3 - 1, -a*k - 2*l = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = 9*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 - -54.83705.\nAnswer: 59.23705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 7 + 3. Calculate the lowest common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5))**(-17\/6)*(g**(-24))**10 assuming g is positive.\nAnswer: g**(-7217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -93\/67, -7\/9, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/15, 1\/2, 0.3, 2\/63?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -41*o**3 - o**2 - 4*o - 4. Let i(h) = 2*h**2 + 44*h - 47. Let m be i(-23). Calculate the lowest common multiple of n(m) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**2 - 1\/6*d**3 + 0*d - 17\/6*d**4 + 1\/20*d**5 - 1\/40*d**6 - 5. Find the second derivative of s(h) wrt h.\nAnswer: -18*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 37*i**2 + 42*i**2 - i**2.\nAnswer: 76*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:35 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16486, 16347, 16232, 16141, 16074, 16031, 16012?\n\"Answer: 12*r**2 - 175*r + 16649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/12*6 - (1 + -2). Solve -s + 1 - 9 = 5*g, -2*s - 3 = -l*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 1. Let l be d(4). Suppose -l*v + 4*v = -105. Is 20 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/84 and -37\/91.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1792233, -3584460, -5376687?\n\"Answer: -1792227*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-4)\/(-32)*4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*r + 3, 0 = f - 4*r - 4 + 9. Find the second derivative of 6*s - f*s - 2*s + s**4 + 0*s wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 33 + 15 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55.705*-4.\nAnswer: -222.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -21. Let v be 0 + -13 - (11 + z). What is the smallest common multiple of 64\/v*(-6)\/4 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 88 = -50*r. Let o be (0 + (-9)\/(-2))\/(-6). Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 45390*l**3 + 357*l**2 - 357*l. Let m(w) = 255*w**3 + 2*w**2 - 2*w. Determine -2*f(s) + 357*m(s).\nAnswer: 255*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 2*k**2 + 2*k + 1. Let f(g) = 4 + 4*g - g - 3 - 2*g. Let v be f(-2). Let s be u(v). Which is the third biggest value? (a) -5 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -344 > -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5, 6*v + 2*z + 5 = v. Let h = -1 - v. Solve q + h = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14901 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/40 + j**4\/8 - 3*j**2\/2 - 3*j. Let q(h) be the first derivative of k(h). Factor q(t).\nAnswer: 3*t*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-4*a**4 + 4*a**4 - a**5) - 2*a - 2*a**5 + 2*a - 9*a**3 + 9*a**3 + 7*a**5.\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27674*m**3 - 3*m**2 - 4247923.\nAnswer: -83022*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 24 - -23 - 5 - (-15 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4255883 rounded to 3 decimal places?\nAnswer: 0.426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/303 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 8. Let i be w(3). Suppose 3*k = i*c - 31, -c + 9 = -k - 0*c. Let a(z) = -z**3 - 6*z**2 - 8*z - 2. Is a(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3480 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.197489 + 0.197489. Let g = -0.2 + -0.3. Which is the second smallest value? (a) l (b) 0.38 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 2. Suppose z*k = 7*k - 40. Round k to zero dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = 6, -4*d = 2*h - 530. Let y = d - -368. List the prime factors of y.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3)*(7*r + 65 - 6*r - 81) as s + b*r and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 10. Let a be n(-5). Solve -a*m = -26 + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-8)*18\/(-5). Let h(u) be the third derivative of u**5\/60 - u**4\/24 + 7*u**3\/6 - u**2. Is h(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4950 + 2396. What are the prime factors of (-1)\/(-5) - (p\/5 + -9)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 9*l - 6 = 0. Suppose 2*w + 2*w - 168 = 0. What is the highest common divisor of w and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001962529 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1464 - 1468 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -565 in decreasing order.\nAnswer: 2, -5, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -741*t**2 + 1538*t**2 + 4861*t**2 + t - 2*t + 54*t**2 to the form h + z*t + f*t**2 and give f.\nAnswer: 5712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11948 + 21681. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 0*u = -2*u + 8, -5*k = -2*u + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6)*6\/4. Let b(l) = l**2 + 4*l - 14. Let w be b(4). Suppose 0 = -y - q + w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84848 and 588633?\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -98, -125, -152, -179, -206?\n\"Answer: -27*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 773*j - 2234*j - 3182*j + 293*j to v*j + r and give v.\nAnswer: -4350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*f + 8, 4*k + 2*f + 20 = f. Let q(i) = i**2 + 4*i + 2. Let v be q(k). Suppose -4*g = g - m - 32, -v*m = -2*g + 8. Solve 2*u = g - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 - 153. Let i be (-3)\/(-2)*4\/2. Solve i*w = -5 + u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 2*q + 2. Give u(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/5 - 101208*q**2\/5 + 40482*q - 101204\/5 = 0.\nAnswer: 1, 50602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 817*l\/5 - 326\/5.\nAnswer: -(l - 163)*(5*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 37*y**3 + 2*y**2 - 13*y + 11. Let f(z) = 19*z**3 + z**2 - 6*z + 5. Let k = -20 + 16. Let u(x) = k*w(x) + 9*f(x). Does 9 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 divided by 4?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(-2 - (-8)\/3). Is ((-88)\/h)\/(2\/10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*q - 20, 3*o - 6*q = 11 - 68 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-7744)\/(-15730) + (-24)\/(-78)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1096*t - 135 = -1111*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-154)\/70)*5. Solve 2*t + 7 = l, 0 = g*l - l - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*u = -u + 31, -3*u = -2*r - 23. Let m(y) = -2*y - 7 + 15*y - 11*y + 3*y. Let g(o) = -2*o + 3. What is r*g(q) - 3*m(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 4:02 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 63\/112*1\/(15\/(-10))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)*(-120)\/16. Let p(r) = r**3 + 14*r**2 - 20*r - 2. Let l be p(f). Solve 152 + 2*o**3 - 78 - 2*o - o**4 - l = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:20 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -199. Differentiate 7*g + c + 73*g + 83*g + 82*g + 18*g with respect to g.\nAnswer: 263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p**2 + 7544 + 0*p**2 - 7278 to the form n*p + c*p**2 + r and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83867125 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(110) + sqrt(110)*1)*2)\/((sqrt(110) + (sqrt(110) - -1*sqrt(110)) + sqrt(110))\/sqrt(11) + (sqrt(70)\/(sqrt(21)\/sqrt(3)) - sqrt(10))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 + 5125?\nAnswer: 5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 374, 380, 386, 392?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:20 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 8, -5, -3, -73, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 + 0 - -8)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let w(r) = 4*r - 2*r - 3*r + 1. Let q(i) = 6*i**2 - 30*i + 30. Let d(a) = q(a) - 30*w(a). Give j(d(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -991*i**2 - 32*i + 991*i**2 + 219*i**4 wrt i?\nAnswer: 2628*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3289510.413664 - 3289411. Let f = 31.586866 + p. Let x = f - 131. Round x to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 83943322, 83943323, 83943324, 83943325?\n\"Answer: u + 83943321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngontgnnngtp. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w + 1 - 1)*(-18*w + 25*w - 13*w).\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 + 6*w - 6. Let b(k) = 9*k**2 - 11*k + 11. Let r be (-1)\/6*2*-15. Suppose 4*s = r*s - 11. Give s*q(m) + 6*b(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 u, and 1 c when three letters picked without replacement from cffcccuubbjbbfbcc?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*3\/24 - (-68)\/16. Solve -g = 3*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 425 = -414 + 80. Solve 37*l - f*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 33, 2, -6.\nAnswer: -6, 0, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:39 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (154\/6)\/((-27)\/(-162)). What is the highest common divisor of m and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(22*(-28)\/770)*14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u + 0*u + u)*(0*u + 0*u - u**2) - 49*u**2 - 18*u**3 + 49*u**2)*(0 + 2*u + 0)*(-14 + 14 + 8*u).\nAnswer: -272*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z - 1. Let o(u) = 2*u - 24. Let n(a) = 2*a**2 - 2*a - 1. Let r be n(-2). Let t be o(r). Let d(i) = i. Give t*y(j) - 10*d(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -7*z**5\/120 + z**3\/3 - 2*z. Let j(y) be the second derivative of u(y). Is j(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -112*-0.02\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5 + 9 + 2 - 2*f. Let z(c) = -6*c + 17. Give -11*w(l) + 4*z(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 - (3 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14546 - -14548. Let n be (2\/(-5))\/(2\/(-10)). Factor -2\/3*o**n + 0 + f*o.\nAnswer: -2*o*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 4\/27, -2 in increasing order.\nAnswer: -2, 4\/27, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/50*1771\/462 - (5 - 0).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 28 + 1\/(3\/9). Suppose -2*u - 3*u = q. Suppose 7*b = 24 - 3. Sort u, 16, b in ascending order.\nAnswer: u, b, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -14. Let p be 4\/18 + (-6 - 3680\/36). Let h = -107 - p. Put h, -20, x in decreasing order.\nAnswer: h, x, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0493236 to four decimal places.\nAnswer: -0.0493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 n, and 1 b when four letters picked without replacement from bnbqpbnnbbbbbnbbqbb.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 185*u**2 - 209*u - 1979. Let l be h(-186). Calculate the greatest common factor of 133 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1682*l**5 - 440*l - 1.\nAnswer: 33640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2059, -4134, -6209, -8284, -10359, -12434?\nAnswer: -14509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9177, 9174, 9171?\nAnswer: 9168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -511995, -1028533, -1545073, -2061615, -2578159?\n\"Answer: -g**2 - 516535*g + 4541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9 and -0.1269?\nAnswer: -0.49491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a - 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/21 + (-4)\/(-6). Let y(t) = -t**3 - 2 - 2*t - 4 + 4 - 5*t**b. Give y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/5)*r*r)**(-2\/61)*r**(1\/8)\/r*r*r*r*r*r*r*((r*r**(-5\/6))\/r*r)\/r*r*r*r assuming r is positive.\nAnswer: r**(52943\/7320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b + 1\/9*b**4 - 2*b**2 - 5\/9*b**3 + 0 + 1\/90*b**5. Let j(c) = 0. Calculate c.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2138, 2301, 2448, 2579?\n\"Answer: -8*h**2 + 187*h + 1959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -13. Let r(b) be the first derivative of c*b**2 + 2 + 1\/4*b**4 + 2*b + 0*b**3. Differentiate r(y) with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 4*t**2 + 2*t - 11*t**2)*(-3*t + 2 + 2*t + 0*t).\nAnswer: 4*t**3 - 10*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let w = 127689.9 + -127690. Which is the nearest to w? (a) z (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69888254.\nAnswer: 2, 34944127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -fdb (base 16) in base 2?\nAnswer: -111111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 281 = -7*x + 5*x, 4*p = -x + 136. Let s = 3 - 1. Suppose 4*z + 3*r - x = 3*z, -s*z + 317 = -r. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l*l**(3\/5))\/((l*l**(-2))\/((l\/(l\/((l*l\/l**(-3\/8))\/l)))\/l)) assuming l is positive.\nAnswer: l**(79\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 69*w - 1. Let a be y(1). Let p = a + -206\/3. Is p equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4618.093nm in meters?\nAnswer: 0.000004618093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(720) - sqrt(5))*3)**2.\nAnswer: -594*sqrt(5) + 5526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 5. Let g = c - -6. Let q = 22 - -10. Calculate the remainder when q is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126852 and 885918.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.4? (a) 0.3 (b) -5 (c) -166\/5 (d) 4 (e) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1233811309, 1233811308, 1233811307?\n\"Answer: -w + 1233811310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and 0.4.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -13. Suppose 4*r - d = z, -3*r - d - 2*d = -30. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.09, -104389, -2\/9, 5, 0.3?\nAnswer: -104389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4221 (base 5) in base 7?\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1324 = 4*i - 0*q, 5*q = -2*i + 676. Suppose 7*x = -1082 + i. Let d = -27 - x. Does 40 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 v when four letters picked without replacement from {d: 7, v: 2, y: 9}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/10 - 10*z**2. Let s(x) = -6*x**2. Calculate s(m(p)).\nAnswer: -216*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/11))**40*a**(-1\/4)\/a**(-2\/11) assuming a is positive.\nAnswer: a**(1277\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.602 rounded to 0 dps?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:11 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 311984, 311893, 311802?\n\"Answer: -91*b + 312075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28821124\/475 + 60676. Find the common denominator of g and 26\/5.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 588851, 1179365, 1769879, 2360393, 2950907, 3541421?\nAnswer: 4131935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-13 - -13 - 13) + 12 + 1) - -93.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 1 = 8*c. Suppose 1 = -8*l + c. Solve 5*t - 3*t + 6 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 95223438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.3 + -3.3. What is the smallest value in -0.3, -0.06, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68013 and 84501.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/42)\/(2\/400). Suppose -5*w - l = -0*w. Let z be 3 + (-23)\/(-4) + (-5)\/w. Which is smaller: z or 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*j, -6*l + l + 2 = 4*j. Let t = -235 - -859\/4. What is the common denominator of (l\/12)\/((-14)\/(-1834)) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1173 + 1672. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -19*l + 15*l. Solve -l*d + 12 = -6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9657 - -6?\nAnswer: 9662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 12.4. What is the third smallest value in i, -0.1, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45592?\nAnswer: 2, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 5*i)*(-6 + 2 + 2) + 495 + 506 - 1001 + 10367*i.\nAnswer: 10369*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27e0 (base 16) to base 14\nAnswer: 3a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 77*x**3 + 2*x**2 + 3*x - 3884. Let u(y) = -y**2 - 2*y + 1. Let r(b) = -p(b) - 2*u(b). Differentiate r(a) with respect to a.\nAnswer: -231*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027 take away 77?\nAnswer: -77.0027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-313 + 114 + 32)*(2*g**3 - 2*g**3 + 2*g**3) to i*g**3 + t*g + d*g**2 + m and give i.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in 3, 2, 11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 10*z - 11. What is the tens digit of r(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 4, -7, -6, 5 in decreasing order.\nAnswer: 5, 4, -1\/5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*l - 8. Suppose 3*z + l = 2*z. Let q(a) = a**2 - 10*a + 13. Is q(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/17)*k)**(-49) assuming k is positive.\nAnswer: k**(-539\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1534, 624, 2784, 4946, 7110, 9276?\n\"Answer: l**2 + 2155*l - 3690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000001110111 (base 2) in base 3?\nAnswer: -102101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(28) + -3)**2).\nAnswer: -24*sqrt(7) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w**(-5)\/w*w*w))*w)**(-1\/11)*(w\/(w\/(w\/w**(-2))))**(-46) assuming w is positive.\nAnswer: w**(-1516\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 2, l: 2, m: 8}. What is prob of sequence mflf?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 - 560*h**3 + 19910*h**2 - 236880*h + 894645 = 0. Calculate h.\nAnswer: 9, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 10. Let x be l(10). Suppose 3*b = b + x. What is the least common multiple of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 635825786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32817936527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 833*f**2 - 833*f**2 - 46*f**3 + 19*f wrt f?\nAnswer: -276*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnhx when four letters picked without replacement from hntxjthp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, e: 4}. Give prob of picking 1 e and 1 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 14 = -6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 12*o - 12. Let q = 43 + -36. Let k be y(q). Solve -4*m - 10 - k = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 4. Let w = h + -62\/9. Is w at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by 10.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(-10) - (-1)\/2. Let f(o) = o**3 + 3 - p*o - 8 + 5*o**2 - 1. Let u be f(-5). Solve -2*k - u = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120525372?\nAnswer: 2, 3, 11, 304357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4267.\nAnswer: 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.75838ml?\nAnswer: 0.00675838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -3*m - 93, -4*f + 2*m - 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, j: 1, e: 7, f: 5}. What is prob of picking 1 j, 2 f, and 1 e?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2b9 (base 14) to base 15\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77692*x = 77697*x + v + 24, 2*x + 2*v = -8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 5, s: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/11)*p*p**4\/p*p)\/(p**1*p**(-2\/3)))\/(((p**(-9)\/p)\/(p\/(p*(p\/p**5)\/p*p*p*p)))\/(p*((p*p**(2\/5))\/p)\/p)**(-13\/6)) assuming p is positive.\nAnswer: p**(854\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 2, y: 5}. Give prob of sequence le.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 1 + 3. Let y = 35 + -23. List the prime factors of y - 2 - n - -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149.7 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4*-936.\nAnswer: -5990.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, k: 4, m: 4, i: 1, v: 1}. What is prob of sequence kkvm?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*g - 2*d - 39, -d - 24 = 5*g. Is 2\/(-5) - g\/((-40)\/(-1494)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 1, d: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 92*v**2 - 21*v**2 + 80*v**2 - 44*v**2 + 41*v**2 as p + m*v**2 + w*v and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 177617070?\nAnswer: 177617070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/430633937 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 5. Let c(k) = 3*k**2 - 2*k + 1. Let y be c(p). Solve 0*r + y*r + 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-44)*(84\/14)\/12?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75289 is divided by 393.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3007868.\nAnswer: 2, 31, 127, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 33. Give c(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -208 (base 10) to base 11\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 6\/5, 1\/3, 2, 39, 0.443, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9 - 53)\/(-11) + 1. Which is the closest to r? (a) -9 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 12, 2*z - 6*d + 1 = -29. Let b = 1 + -1. Sort z, b, 5.\nAnswer: b, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:23 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 + 4*n**3 + 1342 - 2675 + 1333 - 17*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254, 466, 610, 668, 622, 454, 146?\n\"Answer: -3*k**3 - 16*k**2 + 281*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - (-28)\/12)*12\/2. Let z = y - -28. What is the greatest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604 divided by -4.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 11 = -4*i, 3*i + 1 + 14 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -66*s**2. Let o(r) = -10*r. Let n = 279 - 315. Let w(y) = -y. Let a(q) = n*w(q) + 4*o(q). Give b(a(p)).\nAnswer: -1056*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 901821 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 4*g + k + 2*k, -5*k = 0. Suppose 0 = -2*m + g - 10. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -455 - -959. Calculate the lowest common multiple of 462 and q.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6) + 2 + 42\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-11))\/(12362\/(-38852))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 113 - 113 = 4*w, 4*s + 5*w - 260 = 0. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 5 + 5 + 0*f + 19*f - 4*f + (f + f - 3*f)*(-2 + 2 - 1) + 5*f - 4*f + f in the form y + o*f and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(9)*2) + sqrt(6)\/sqrt(3) + 1)*-3)**2 - ((2 + sqrt(18)\/sqrt(9))*-4 + -1).\nAnswer: 31*sqrt(2) + 117\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11959 times -5\nAnswer: -59795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -5, -8, 2\/7, 0.1, -10 in decreasing order.\nAnswer: 6\/7, 2\/7, 0.1, -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130815 and 1026.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) + 44\/20. Let q = -5 + 23. Let y = -137 - -141. Solve y*n + m = q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1655, 1640, 1615, 1580, 1535, 1480, 1415?\nAnswer: 1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/287848 and -35\/264?\nAnswer: 863544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2796036*x = 2796037*x + 110 for x.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*p = -2. Suppose -3*y - 3*x + 105 = -4*x, -56 = -p*y - 4*x. Let f = y - 21. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*d - 4 = 2*d, -d = -2. Let b = 2 + f. Let p = b - -4. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-406) + 2*(-1)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69841188 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -78. Calculate the remainder when 206 is divided by (f + -6 + 5)\/((-2)\/26).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -21*x - 9. Let o(z) = -20*z - 8. Let m(k) = -5*o(k) + 4*s(k). Let b(v) = 3*v + 1. What is -11*b(c) + 2*m(c)?\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354118, 708232, 1062346, 1416460?\nAnswer: 1770574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 129360.\nAnswer: 129360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 211133330 (base 4) in base 12?\nAnswer: 74a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, 1 q, and 1 o when four letters picked without replacement from {h: 1, o: 1, l: 1, q: 1, p: 2, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -1137, -1709, -2273?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/24 (b) -68 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**3\/3 + 5*o**2\/2 + 6*o + 2. Let l be n(6). Suppose 5*h - 4*m = 48, -3*h + l*m = -m - 33. Solve -5*y - 13 = h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-40)\/(y*((y\/(y\/((y*y\/y**(-2\/25))\/y)))\/y)\/y))**(2\/5) assuming y is positive.\nAnswer: y**(-2004\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 - 4*s**2 + 3*s**2. Let v(q) = 7*q**2 - 5*q + 5. Let o(x) = -x**2 + x - 1. Let g(j) = 10*o(j) + 2*v(j). Give g(b(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqmpmgddpwgqm. What is prob of sequence dg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6700546.\nAnswer: 2, 3350273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:56 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1186 times 0.01\nAnswer: -11.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 665856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-16.4.\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/(-4))\/(1\/(-2)). Let p be (10\/a)\/(6\/171). Let r = 20 - p. Solve -r = d - 3*q + 4, 0 = 4*d - q + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txrrlrl. What is prob of sequence llrr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4918.\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/68136 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6219, -6216, -6213?\n\"Answer: 3*f - 6222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/10*(-1)\/14*7*-2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1755, -7010, -15767, -28026, -43787?\n\"Answer: -1751*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:15 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6*1\/(-21))\/(5\/(-35))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 10*o + 29. Let t be b(12). Solve 5*h = 5*x - t, -2 - 1 = x + 3*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*i + 8559 - 13533 = 13584 + 21285 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = v - 22, -3*v + 1 = -0*s - s. Let u be -1*(0 + s)*3\/15. Put -5, u, -4 in decreasing order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 463 + -295. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 9 - 7) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344 = -6*m + 2*p, 4933*m - 305 = 4938*m + 2*p for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4800 and 7527920?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose -2 + 18 = -s*i. Is 18\/i*(-522)\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:32 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3349026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 207452, 414908, 622364?\n\"Answer: 207456*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1711*y - 9224. What is g(5)?\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.1, 1.\nAnswer: -4, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*z - 302*z = -12. Is -29 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 940704 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 5127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkk when three letters picked without replacement from {w: 3, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133146272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 7, r: 7}. Give prob of sequence de.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -13*d + 33. Solve 7 = j - v, -d*j + 0*j + v + 13 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -433\/66 - -74\/11. Let j(p) be the first derivative of -1\/9*p**3 - 2 + 1\/3*p + 1\/3*p**2 - f*p**4. Solve j(v) = 0 for v.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*10.3.\nAnswer: 5.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1014?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1390837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1312 (base 5) to base 15.\nAnswer: -dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -384, -588, -792, -996, -1200?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.7. Let h = -132 - -663\/5. Let z = 10 - 10.1. What is the second smallest value in h, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/((-1287)\/(-66))*1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1953 - -1968. Calculate the lowest common multiple of w and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/21, -0.5, -0.1, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**3\/3 + k**2\/2 + 2*k - 5. Let b be h(0). What is the third derivative of s**b - 9*s**3 + s**2 + 6*s**3 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 12. Let d be k(-6). Suppose 0*t + t + d = -y, 4*y + 20 = -2*t. Is 1\/t - (-210)\/20 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-12))\/((-3)\/3717). Let g = s + 399. Which is smaller: -13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - (-168)\/(-18). Suppose -4*f = -3*g - 0*f + 40, 3*g + 4*f = 80. Let v = l + g. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1275*k**2 - 6*k - 2. Let t(o) = 174675*o**2 + 825*o + 275. Determine 2*t(n) + 275*x(n).\nAnswer: -1275*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(-2*a**3 + 0*a**3 + 3*a**3) + 3*a**3 + 2*a**3 - 2*a**3 - 8*a**2 + 8*a**2 - 6*a**3 to the form m*a**3 + t*a**2 + g*a + l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 297*h. Let a(t) be the first derivative of -t**2\/2 - 93. Calculate j(a(f)).\nAnswer: -297*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -206, -293, -376, -455, -530, -601?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsk when three letters picked without replacement from {l: 5, q: 8, s: 5, u: 1, k: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.03, -1\/3, 3, 0.43?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.272 - 0.228. Let x = 1.27 + -8.27. What is the closest to 0.2 in x, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46457 divided by 2\nAnswer: 46457\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 4*w**3 - 7*w**2 - 685 + 4*w**2 + 692 to the form c*w**2 + f*w + j + s*w**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:58 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + (1 - (12 + -13)) + -55?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - d - 9 - 13.\nAnswer: -d - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 3\/5 (c) -4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -138 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/30 + n**4\/24 - n**3\/2 + 2*n**2. Suppose 13*h = 8 - 47. Give m(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*o - 14 + 6, -12 = 4*s + 3*o. Let a be (s - (-87)\/1) + -2. Suppose -3*p - a = -4*z, -4*z + 5*p + 72 = -z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {x: 10, f: 2, q: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/2 and -54\/3859.\nAnswer: 7718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*6)\/((-2005)\/200 + 10). Let t be -3*15\/(-18)*a\/(-5). What is the greatest common divisor of 300 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3241\/11 - 295. Which is smaller: d or -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*(-68)\/(-26112)*1056\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46.7 - -47. Let z = 68 + -475\/7. Put -0.3, z, u in increasing order.\nAnswer: -0.3, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116787\/14 + 8337. What is the common denominator of w and 6\/(-36) - 122\/(-18)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from skkmsmkssmukmkkmskm?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*m - 9982 + 44029. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181397.5 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27066577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miim when four letters picked without replacement from immimmmmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - -2) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -10*q**5 - 76*q**4 + 612*q**3 + 6568*q**2 + 13030*q - 6300 = 0?\nAnswer: -7, -5, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -7. Suppose 0 = -b + 1 + 1. Suppose 0 = -x + b*x - o. Calculate the lowest common multiple of 4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b - 2. Let q be -6 + -1 + 2 - -4. What is the units digit of z(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 0.5, 3135 in increasing order.\nAnswer: 0.5, 109, 3135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + -3) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**3\/3 - 13. Let z(c) be the third derivative of -5*c**4\/24 - c**2. What is i(z(o))?\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*x - 106 - 134 = -69 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 10*j + 32. Let p(r) = -r**2 + 6*r - 2. What is the lowest common multiple of 2 and p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*y - 789 = 783, 3*s = -5*y + 940. Suppose -3*u + 435 = -4*b + 134, 0 = 3*u + 3*b - s. Calculate the remainder when u is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -41*t**6\/3 + t**3\/3 + 29*t**2\/2 - 156. What is the second derivative of n(l) wrt l?\nAnswer: -1640*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f5 - 1?\nAnswer: -5f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7 + 4)*(31299*a - 211*a**2 - 1 - 31299*a).\nAnswer: 1899*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -3 + -30 + 36 - (17 - 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220535 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 1935 = -3*w, 955 = 2*f - w. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 6*j = 0. Suppose 2*t - 5*t - 3 = j. Which is smaller: t or -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328725*-0.33\nAnswer: 108479.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0*v - 12. Solve -4*b = v*h + b - 4, -3*b = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide ((-20)\/(-3))\/((-4)\/(-144)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 2906694264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, -23941, 24.\nAnswer: -23941, -14, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 776 + -8a?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3556534 is divided by 183.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 912167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, 0.4, 1, -0.6, -1\/11, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -370 - -791. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivyv. Give prob of picking 1 i and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38399235 and 4185.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**5 - o**4 - o**3 + o**2 - o - 1. Let h(f) = -25*f**5 - 73*f**4 - 85*f**3 - 35*f**2 - 10*f - 4. Let r(t) = 4*d(t) - h(t). Factor r(j).\nAnswer: 3*j*(j + 1)**3*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 12 = -120*a - 152*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -4*t - 2*m, m + 2 = 3*t. Let c = t + -2. Is 72\/3*1 + c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 8*z - 2*z**2 - 5*z - 42 + 0*z + z**2. What is the hundreds digit of m(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -10651b?\nAnswer: -10651c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q = 132. What is the remainder when q is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54474051 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: Let k(s) = -s**3 + 59*s**2 + 65*s - 148. List the prime factors of k(59).\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 6:31 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66865.67 millilitres in litres?\nAnswer: 66.86567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*k + 190 = 0, k - 59 = 4*a + 119. Let b = 49 + a. Suppose -3*t + 175 = p, 42 = -b*p + t + 716. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1215, 1223, 1235, 1251, 1271, 1295, 1323?\n\"Answer: 2*d**2 + 2*d + 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/132 + -1 - (-6)\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -12, 2 in descending order.\nAnswer: 4, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h - 6. Is 6 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 66.93366 centimeters?\nAnswer: 0.0006693366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/12)\/q*q)*q)\/q)**(-48)*(q**(-13\/5))**(1\/23) assuming q is positive.\nAnswer: q**(447\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 106*d**2 + 685*d - 769. Give y(-99).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g\/(g*g*(g*g**0)\/g)*g)*g*g**6*g**(-2\/7))\/((g*(g\/g**1*g)\/g)**(-14\/9)\/(g\/(g*g*g**(1\/4)*g)*g*g**0)) assuming g is positive.\nAnswer: g**(853\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1284 (base 9) to base 10.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1737*w + 8127 + 49194 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/5)*u\/(u\/u**38))**(14\/3) assuming u is positive.\nAnswer: u**(854\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.43014758 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 537.682.\nAnswer: -1613.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j - 3. Let r be c(3). Suppose r = -14*s + 5*s + 333. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4*m - 3)*(-2*m + m**2 + 2*m) + (-1 + 1 - 2*m**2)*(m - 8*m - 4*m))*(2 - 2 - 3).\nAnswer: -54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/7, -3, -1\/4 in ascending order.\nAnswer: -3, -1\/4, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12527479 divided by -1.\nAnswer: 12527479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:13 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.571155 tonnes in nanograms?\nAnswer: 6571155000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -667533 - 0.5?\nAnswer: -667533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, 3, -4, 0, -2, -15, 4.\nAnswer: -206, -15, -4, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 - 99*r. Let h(t) = -2*t + 48. Determine h(q(s)).\nAnswer: -12*s**2 + 198*s + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - y + 0)*(3*y - 2*y + 3*y) + 5*y**2 - 5*y**2 + 2*y**2)*(-118*y + 278*y**2 + 118*y).\nAnswer: -556*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418912 and 608?\nAnswer: 418912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 0.3. Let z = -0.53 - -0.03. Let w = -2.5 - z. Is w >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 + 2*k - 4. Let l be o(2). What is the greatest common divisor of 9 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 9:33 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980\/35 - 2310\/90.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(78)*-1*4*-2)\/(2*-1*(sqrt(216)*-1 + sqrt(216) + sqrt(216))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670, 1199, 1728, 2257, 2786, 3315?\nAnswer: 3844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3417910*b**3*g + 2*b**3 + b**2*g - b**2 + 2*b*g + 2*b - 607*g - 4 wrt b.\nAnswer: -20507460*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 786, 805, 826, 855, 898, 961, 1050, 1171?\n\"Answer: i**3 - 5*i**2 + 27*i + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 + 0*q**4 - 1\/10*q**6 + 3*q + 0*q**5 + 0 - 1\/6*q**3. Find the second derivative of m(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.1 - 13.36. Let z = j - 0.74. Is -2\/35 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let d = -3132 - -3136. Suppose y - 1 = i*o + 158, -d*y + 576 = -4*o. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.3898 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -196*g + 193*g. Suppose g = 24*u - 22*u - 126. What is the highest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 36010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n + 3. Suppose 0*k + 36 = n*k. Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaajkuzhzzaz. Give prob of sequence zh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -6 + 18. Factor 2*x**5 + 43*x**3 - 45*x**3 - x**u + 2*x**2 - x**4.\nAnswer: 2*x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16815 + 16817. Solve j*z + 5*p = -9, 12*z - 11*z + 4 = -2*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-1*2\/(-4)). Suppose -g = -5*q + 4. Solve -3*i = 2*d + 16, -q*d = 4*i + 7 + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -7*x**5\/60 - 23*x**4\/24 + 5*x**3 + 499*x**2. Let c(r) = 0. What is r?\nAnswer: -30\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"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: Let m(p) = 7*p**2 - 6*p. Let i(b) be the second derivative of b**4\/12 - b**3\/6 - 2*b. Let g(o) = 6*i(o) - m(o). Let u(w) = 4*w + 2*w - 2*w. Calculate u(g(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108 + 43 + 97 + 84 + 38*t wrt t?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {r: 1, q: 3, g: 2, c: 5, d: 3, a: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1702 and 5\/72?\nAnswer: 61272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 9*r - 90. Calculate the common denominator of -53\/22 and r\/3*3\/24.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1325720\/9 - -147446. Let x = 144 - k. What is the closest to 1\/3 in 0.3, x, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.12 (b) 15 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.3 + 3.8. Let v = -2 - -4. Is v <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*i**3*k*m + 2*i**3*k - 2*k*m - 2*k + 6 wrt i.\nAnswer: 207*i**2*k*m + 6*i**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 2*w**2 - 7*w + 10. Calculate q(-3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/53 - -41\/318. Let x(q) = -q**3 - 6*q**2 - 2*q - 12. Let z be (-1 + 0 - 0) + -5. Let r be x(z). Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 77955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1377) + -1)*-4)**2 + -2 - (-4 + (sqrt(1377) + sqrt(1377) + -3 + (sqrt(1377) - (0 + sqrt(1377))))*6)**2.\nAnswer: 144*sqrt(17) + 153994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**4\/12 + 11*r**3\/3 - 2*r**2 + 9*r. Let x(o) be the first derivative of i(o). Is x(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1*(-4)\/4*1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"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 -765 = -8*q - 7*q. Suppose n = q - 55. Let s = 8 - 3. What is the smallest value in n, s, -1, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -420, 1, -2\/3, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(-4\/19))**(-2\/117) assuming w is positive.\nAnswer: w**(4\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9)\/(1\/12). Calculate the highest common divisor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -569 + 1015. Let k(i) = 3*i**2 + 446*i - u*i. Let t(m) = m + 4*m - 4*m. Give t(k(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(3\/(-10)))\/(((-1536)\/240)\/16)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(3 - 2) + (-32)\/96.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 - s**2. Let g be f(-1). Suppose -g*p + d + 4252 = 0, -2*p + 3170 = 2*d + 1034. Suppose 5*c = 4*k + p, -3*c - k - 96 = -748. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -0.1 (b) 0.3 (c) -428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 110, 236, 422, 674?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8503561 = -2*l - 479005. Let c(b) = -35746*b**2 + 3*b - 2. Let o be c(8). Let y = o - l. Round y to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 122*i - 7840. What is b(67)?\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5214613 at least 36502296\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 202, 249, 280, 289, 270?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1872534 times 1\nAnswer: 1872534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14*i**3 - 28*i**2 - 11*i - 11. Let x(w) = 4 - w**3 + 631*w + 9*w**2 - 4*w**3 - 627*w. Give 4*j(m) + 11*x(m).\nAnswer: m**3 - 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49851 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1775654 + 16?\nAnswer: 1775671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b65b9 (base 15) to base 5.\nAnswer: -3344202144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {t: 5, p: 1, e: 3, f: 1, g: 3, b: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 + 2*z + 1. Let s be x(-1). Suppose -2*t + s = -0*t. Solve t + 3 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73925675.\nAnswer: 5, 19, 103, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 24*p**2 + 97*p + 464. Give g(-8).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 151 in decreasing order.\nAnswer: 151, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 9:09 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 150*q = -154*q - 20, -5 = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1865713 divided by -3\nAnswer: -1865713\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3 + 29 = -8*v - 1, a + v + 3 = -a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 166, -1\/468, -4\/7?\nAnswer: -1\/468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2. Let c(d) = 4783519*d. Determine f(c(a)).\nAnswer: 45764108046722*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*2 + 0 - (-1 + sqrt(405) + -1) - (-2 + sqrt(405) + 0 - ((sqrt(405) + 1 - sqrt(405))*6 + sqrt(405))))*-5)**2.\nAnswer: 4500*sqrt(5) + 12625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 61. Is -37 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 43*c = -41*c - 34, -c = -5 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((10 - 5) + -24 - (17 - (3 + 20)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five halves of a century?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 18cc (base 15) to base 4\nAnswer: 1103313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297938084?\nAnswer: 2, 74484521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 62, 130, 198?\n\"Answer: 68*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + sqrt(448) + 1 + -2))*2 - (-2*sqrt(448)*-1 - sqrt(448) - (5 + sqrt(448) + sqrt(448) + 1)))**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + cf6e?\nAnswer: cf71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/7)*b**(2\/61) assuming b is positive.\nAnswer: b**(-108\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2\/3, -1.3, -4 in ascending order.\nAnswer: -11, -4, -1.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1928? (a) -4\/23 (b) 4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-10)\/9*(-18)\/(-15). Solve -5*q + 4 + 21 = -k*d, 3*d - 20 = -4*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 6. Let i be m(7). Let a be 12*3\/42*42\/9. Solve -a = f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.04, -5, -4\/3, 11, -0.2, -0.4, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 + 7441c?\nAnswer: 74440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 604338 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 1, m: 2, t: 1}. What is prob of sequence tih?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -241, -467, -709, -973, -1265, -1591, -1957?\n\"Answer: -k**3 + k**2 - 212*k + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 335*s - 16*s - 21*s in the form a*s + x and give a.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656 and 242966?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 85*v**2 - 68*v - 33. Does 2 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10218707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 170946.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(2299)*-1 - sqrt(2299)))*-3)**2.\nAnswer: -1584*sqrt(19) + 82908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-9\/5)))**(3\/5) assuming f is positive.\nAnswer: f**(-27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z + 13. Let o be s(5). Let v = o - -5. Suppose -j = -5*m + 9, -3*j = -0*j + 3*m - 9. What is the least common multiple of j and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 9962?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - 2*c**2 + c + 3. Let l be p(-1). Suppose 0 = 9*w - l*w - 28. Calculate the highest common divisor of w and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:16 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290816*g + 156 = 290803*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0 - -3) + -1. Let x(g) be the first derivative of -g**3\/3 + 5*g**2\/2 - 7*g + 423. Let w be x(f). Sort 0, w, 12 in increasing order.\nAnswer: w, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 - 80. Solve u*y = -17 + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1129 + 491 = 9*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656146466?\nAnswer: 2, 53, 6190061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 448 = -12*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/11, -262, 0.023, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 - -2) - (-14 - -14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 666928*q\/7 - 29340960\/7.\nAnswer: -2*(q + 44)*(q + 333420)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4891*q + 74520 = -1319*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p - 4*p)*((12 + 2 + 3)*(0 + 0 + 3) + (-5 + 0 + 4)*(1 - 2 + 3)).\nAnswer: -98*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*r = -4, 3*u + 14 = 4*u + 5*r. Let w(p) = 8*p - 4 - 7 - u. What are the prime factors of w(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5*g + 1. Suppose 0 = -116*y + 121*y - 55. Suppose -2*k - 10 = 2*q, 0*k + y = -4*k - q. What is p(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, -5.\nAnswer: -18, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 105252.\nAnswer: 105252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.51 + -7.31. Let p = k + 7. Which is the closest to p? (a) 1\/7 (b) -3\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.16 and -2136408764?\nAnswer: 2136408764.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126, -104, -66, -12, 58, 144?\n\"Answer: 8*b**2 - 2*b - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-6) - (707\/(-42) + -1). Let p = v - -39. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84, -104, -138, -186, -248, -324?\n\"Answer: -7*h**2 + h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14062302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 33, -5, 3 in descending order.\nAnswer: 33, 10, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 193*u + 382.\nAnswer: (u + 2)*(u + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + o**3 + 0*o**2)*(-10780 - 7536 + 7301).\nAnswer: -11015*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03979 times -2?\nAnswer: -0.07958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86090 is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5\/2 (b) 4 (c) 2252\/299\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in minutes?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114676254?\nAnswer: 2, 3, 7, 11, 17, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27835279?\nAnswer: 27835279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151\/3 + -51. Let g = -5.13 - -0.13. Let p = g + 5.5. Which is the third smallest value? (a) p (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654834 is divided by 201.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h + 53*h + 484 = 0. What is the least common multiple of h and 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/9)\/(50\/(-60))*(13\/(-2) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-4))\/(84 + (-507)\/6).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386232261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 2, 334, -2 in descending order.\nAnswer: 334, 7, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 4*w - 12. Let p be d(-6). Suppose 4*t + 0 - 20 = p. Suppose 0 = 4*q - t*m - 341, 2*q + 3*m - 138 = -m. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((4\/72)\/(7*(-196)\/147)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150 or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -722707\/2185470 - -11\/20814. Let j = 2\/45 + f. Which is the nearest to 0.1? (a) 2 (b) -1\/8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6461 and 2485.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90*d**3*q**2 - 1119*d**3*q - d**2*q*s + 2*d**2*q - d*q + 1104*q**2*s - 8*q + 2*s wrt q.\nAnswer: 180*d**3 + 2208*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27511.14 rounded to the nearest one hundred?\nAnswer: -27500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010485 to four dps.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2533*b - 5111. Give g(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 8*f**2 - 5*f - 7. Suppose 2*j + 4*m + 48 = 0, -5*j + 5*m - 17 = -2*j. Let p = -7 - j. What is the remainder when a(p) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 14 = 5*c - 4*y, 4*y = -12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 18*y + 76. What is the tens digit of m(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4. Let i = 6\/5 + -23\/15. Which is the second smallest value? (a) v (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.4253 microseconds to minutes.\nAnswer: 0.000011673755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 451*f**2 - 11*f + 12. Let m(x) = -1355*x**2 + 31*x - 33. Calculate 11*a(c) + 4*m(c).\nAnswer: -459*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 3*s**2 - 4*s + 1. Let y be v(-2). Let r(x) = -6 + 0 + 2*x - x. Calculate r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16748*w. Let s(n) = 91*n. Let j(f) = 3*g(f) + 553*s(f). Let m(x) = 10*x. What is m(j(v))?\nAnswer: 790*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1085513854 - 1469.\nAnswer: -1085515323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3713*m + 1 - 1 + 3764*m to the form i + g*m and give g.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45904 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*w + 112*w - 106*w - 711*w.\nAnswer: -1143*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 131859 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-106 + -61)\/((-2 - (2 - 5))*-1). Calculate the highest common divisor of r and 13861.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 6 = 3*a. Let c(l) = 1241*l**2 - 2*l + 1 + 1 + 5*l + 1085*l**a. Let d be c(-2). What is d rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 112015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 57*p = 38*p - 1955041. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -16) + 10\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*t + 2*t - 91 = 0, t = q + 94. Let r = 18 - q. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 - 36*r**3 - 177*r**2 - 234*r - 96 = 0.\nAnswer: -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*w**2 - 406*w**2 + 200*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 96 = 24. Suppose -d + s + 2*s = -8, -4*s - 4 = 0. Let h be (13\/1 + d)*(-7 - -9). What is the highest common factor of i and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-16)\/(f**(-2\/23)*f))\/(f**(-15)\/f**(2\/27)) assuming f is positive.\nAnswer: f**(-1142\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 6*p + 2. Is 7 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289670368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 7*t**2 - 9*t + 19. What is z(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13128)\/(-27) - -1) + 2\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i = 172*i + 1722 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -67?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10) - 1057\/(-35). Calculate the greatest common factor of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (491\/2*-101785)\/((-10)\/20). Let g = f - 28676435. Round g to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -949 - -948. Let x(i) = i**2 + i. Let m(v) = -123*v**2 + 6*v + 4. Let l(a) = -m(a) + 3*x(a). What are the prime factors of l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - (-3 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.086, 0.04, -1\/374 in descending order.\nAnswer: 0.086, 0.04, -1\/374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 6*z - 2. Suppose 3*m = -3*w + 9, 3*w + 4 = -w. What is the remainder when h(4) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**20 assuming g is positive.\nAnswer: g**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -3, -1, 1\/43, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 50204.15657 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88816 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + 8*m - 4*o + 56, -o + 19 = -2*m - 46 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(-6)*(-12 - 2). Suppose 65 = -n + 6*n. Suppose -15 - n = -4*b. What is the highest common divisor of k and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269927 - 1.236\nAnswer: 269925.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgcfppccfppcfcfpcp. Give prob of sequence fgf.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 9. Let n be c(-9). Suppose n = -5*k + q + 54, 5*k + 0*q = 5*q + 50. Solve 4*t - z - 8 = -5*z, z = 2*t + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -126.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 3.3. Let s = y - -7. Suppose 4*n + 5*k - 3 = 0, n = -0*n - 3*k + 6. Sort 0.2, s, n in decreasing order.\nAnswer: s, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:34 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - 3*sqrt(7920)) + sqrt(7920)*4 + sqrt(7920))\/((sqrt(99)*-1 - sqrt(99))\/sqrt(9) - (sqrt(11) - (sqrt(275) + 3*sqrt(275)))).\nAnswer: 25*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04558913 - 73.08.\nAnswer: -73.03441087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2 + o. Let g(x) = x**3. Suppose 4*u - 3*w + 86 = 0, -2*u + 4*w - w - 40 = 0. Let k = -22 - u. Suppose 23*f = 24 - 1. Give f*g(n) + k*t(n).\nAnswer: 2*n**3 + n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 2*y**4 - 5*y**4)*(28 + 27*y - 13*y - 20*y).\nAnswer: 12*y**5 - 56*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1222 divide 27716817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 247 - (0\/(-4))\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3125 (base 6) in base 14?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + 0*s + s)*(0*s + 3*s - s) - 2*s**2 - 963*s + 963*s)*(95*s - 12*s**3 - 225*s + 123*s - s**2).\nAnswer: 48*s**5 + 4*s**4 + 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by -2 - (1*-15 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {q: 11, s: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -2, 21\/318235?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, h: 4, l: 3, c: 4, k: 1}. Give prob of picking 1 c and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 29053 = -2*m, 6*y - m - 29038 = 3*y. Factor -y + 4*o**2 - 2*o**5 + 9681 + 8*o**4 - 10*o**3.\nAnswer: -2*o**2*(o - 2)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/5 + 24*a\/5 - 27\/5.\nAnswer: 3*(a - 1)*(a + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185447754 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 2*b - r + 18, 4*b - 5*r = -6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/6 - 13*v**2\/2 - 1526*v. Calculate s(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 88 = 3*p + 12*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 - 1. Let h(d) be the second derivative of 0*d**3 + 0 + 3*d - 2*d**2 - 1\/3*d**4 - 1\/4*d**5. Let l = -58 - -52. What is l*k(z) + h(z)?\nAnswer: z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjefe. Give prob of picking 1 e and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-35) + (-2)\/7. Let l be (-4)\/6 + (-21150)\/(-24921). Let q = l + -2\/71. What is the third smallest value in h, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177*b*z - 5*b - 17 wrt z.\nAnswer: -177*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 4, -0.127308.\nAnswer: -2, -0.127308, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 150 = -3*m, -m - 4*m = 4*l - 296. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjfjjzjzjjjzzjzajz. Give prob of sequence jfzz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1472945 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 5, 0.5, 0.1, -4\/23, 3\/23, -3\/5?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 6. Let r be l(-5). Let h be (6 - (-48)\/(-8))*(-2)\/(-4). Suppose r*n + h*j = -2*j, -j = -n - 3. Is -3\/10 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1458) + 1*sqrt(1458) + sqrt(1458) - (3 + 2 + sqrt(882) - sqrt(882)).\nAnswer: -7 + 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.491684 and -329452.\nAnswer: -329453.491684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23*a**2 - 1658*a + 1657. Give u(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2678\/573 + -4\/573. Let 0 - 4\/3*c + i*c**4 - 2*c**3 - 14\/3*c**2 + 10\/3*c**5 = 0. What is c?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 817600 and 3521600?\nAnswer: 1799537600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:14 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46462.\nAnswer: 2, 13, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3506.3506 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(0 + 0 + -1). Let t = 2 + y. Suppose -t*w + 5*x = -0*w - 430, -812 = -4*w - 2*x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7014, -7030, -7112, -7308, -7666, -8234?\n\"Answer: -8*w**3 + 15*w**2 - 5*w - 7016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1885094.\nAnswer: 2, 389, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14855816 is divided by 263?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390946, -781867, -1172714, -1563451, -1954042, -2344451, -2734642, -3124579?\nAnswer: -3514226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkukkkvuuukukkhuuuo. Give prob of sequence kkk.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0) + -1 - -4. Suppose 2*i - 2 = o*i. Let r(l) = -34*l**3 + l**2. Let q be r(i). What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 4 = -4*p, -2*j - 4*p = -12. Suppose -5*q + 0*i + 153 = -2*i, -4*q + 122 = -j*i. Solve q = -u + 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633685 divided by 3?\nAnswer: 1633685\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/(-126) + 2\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:38 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*h - 128*h + 830*h + 5 - 365*h - 5.\nAnswer: 188*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.329307ug?\nAnswer: 0.008329307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/1)\/(2\/(-44)). Let s = -66 - -56. Let p = x + s. Solve k - p = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 + 6.82. What is the closest to 0 in i, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:36 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42877*k**3 + k**2 + 365412*k - 1?\nAnswer: 257262*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, 45, 56, 65, 72?\n\"Answer: -q**2 + 16*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*a + 1 = -0, a = -4*w - 21. Let i(d) = 2*d - 3. Let g be i(4). Suppose -g*t - 5*o - 25 = 0, -5*t + 2*t - 7 = -5*o. Put 2, t, w in increasing order.\nAnswer: w, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3\/646, 3, -50\/7, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13571*s + 13604*s - 528 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*a + 43350 = 76*a. Calculate the remainder when a is divided by (-9)\/(-2)*(-22)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18669268 and -18669275 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 17. Calculate the least common multiple of 10 and j(10).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-21)*(-345)\/(-2). Suppose 2*s - w = 165. What is the greatest common divisor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2967, 20199, 66963, 158025, 308151, 532107?\n\"Answer: 2461*q**3 + 5*q + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 68\/115, -8, -3\/4?\nAnswer: 68\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.3 (c) -22.73 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28541, -114126, -256759, -456434, -713145, -1026886, -1397651?\n\"Answer: t**3 - 28530*t**2 - 2*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - h**2 + 1 - 2*h - 2. Let w(o) = -2*o**3 + 6*o**2 - 5*o + 6. Let y be (-8)\/(-28) + (-5)\/(-7). What is y*w(n) + 5*r(n)?\nAnswer: -2*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -932759.8689 rounded to the nearest one hundred?\nAnswer: -932800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 596, 1006, 1556, 2234, 3028?\nAnswer: 3926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371945 is divided by 529.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -511*r**2 + 2*r. Let o(m) = 5450*m**2. Give k(o(p)).\nAnswer: -15177977500*p**4 + 10900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -3) + (-4)\/(-1). Let o be n - (0\/4 - 1). Differentiate a**3 - 3*a**3 + 3 - 5*a**3 + o wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 260)*(-8 + 2204\/266)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 2\/9 (c) 1\/5 (d) 3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(3) + sqrt(5) + 2 + (-2 + 0 + sqrt(5))**2 + (sqrt(5) - (sqrt(45) - 1*sqrt(45))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 4:13 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 55 = -3*q - 2*q, -5*q = 3*g - 41. Let m = g + -6. Calculate the greatest common factor of 66 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -2004014?\nAnswer: -2004011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-22)\/(-10))\/(18\/90). What is the highest common divisor of v and 4037?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.83945um to centimeters.\nAnswer: 0.004883945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*v + 15*v + 136 + 612. What is the greatest common divisor of 9746 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 10*h + h**3 + h**3 - 4 - 7*h to r*h**2 + m + p*h**3 + x*h and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from dddfkkdkadkkkkkakad.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Suppose 5*p = z + 9, 2*p + 2*z - u = z. Suppose -2*n + 39 = p*n + b, -n = 2*b - 8. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 116525634.\nAnswer: -2330512.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8952, -8914, -8876, -8838?\nAnswer: -8800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*y**2 + 1943*y**2 + 2228*y**2 - 714*y**2 + 1130*y**2 in the form r*y**2 + k*y + x and give r.\nAnswer: 4485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1883506*p**5 - 752067*p wrt p?\nAnswer: -37670120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**2 - 4*b**2 + 5*b**2 + (-4*b - 2*b - 3*b)*(-b - b + b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaayaaa. What is prob of picking 2 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-1*5)\/sqrt(10) + 1.\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*m + 38, -9 = -5*m - 4*j + 13. What is the derivative of -m + 2 - q**2 + 3*q**2 wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/90 and -43\/4843640.\nAnswer: 43592760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -2 + (-20)\/(1 - 2) and (2\/3)\/((-394)\/(-5319))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca1 + 386?\nAnswer: 1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 3. Let u be t(1). Let l = 1\/2 - 2\/3. Which is the closest to u? (a) -1 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/2, 2, 72\/11?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 3*u - 58 = 0, 1664*u - 1667*u = a - 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 2*i. Suppose 0 = 3*u + 6, -2*f - 4*u - 14 = -3*f. What is the lowest common multiple of p(-2) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -103, -0.05, 4, -0.4, 1 in increasing order.\nAnswer: -103, -0.4, -0.05, 1, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1233523, 1233522, 1233521, 1233520, 1233519, 1233518?\n\"Answer: -l + 1233524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1735 and -1737 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7599168 > 15198337\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10*(6\/9)\/((-16)\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1\/6)*g)\/g**(4\/5))\/((g\/(g\/g**(-18)*g))\/g*g*g*g\/((g*g*(g*g**26\/g)\/g)\/g)*g) assuming g is positive.\nAnswer: g**(1301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 - (4 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 38. Let o be h(6). Let s = 0 + 0.1. Which is the second smallest value? (a) -1\/6 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*f = -3, -3*f + 1 = -20*j + 18*j. Find the third derivative of 3*k**j - k**4 - 98*k**3 - 2 + 2 + 192*k**2 + 97*k**3 wrt k.\nAnswer: 48*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:12 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 - -41. Let u = f - -304.000482. What is u rounded to 5 decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49475 divided by 1189.\nAnswer: -49475\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 9 = r, -n + 3*n - 3*r + 23 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 2*l - l)*(23 + 10 - 2) to j*l + q and give j.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -9 in descending order.\nAnswer: -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5346514?\nAnswer: 2, 2673257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 69732 divided by 1003\nAnswer: 69732\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -0.39781?\nAnswer: -1.60219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 + 2*v)*(-v**2 + 2*v**2 - 2*v**2) - v + v - v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 124*x**2 + 113*x - 36. Does 3 divide w(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 + 5526*s + 2447523 = 0.\nAnswer: -1101, -741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2\/11 + 96186300*b\/11 + 1156475538461250\/11 = 0?\nAnswer: -24046575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1221 divided by -22\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 71*y - 141. Let n be t(2). Solve -h + n + 0 = 5*f, 2*f = -h + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -8*j**7\/21 - 38*j**6\/15 + 9*j**5\/5 + 19*j**4\/3 - 10*j**3\/3 + 108*j. Solve o(q) = 0.\nAnswer: -5, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**4 + 58 - 5*i**4 + i**4 + 78)*(-4 - 11 + 1) as m*i**2 + j*i**3 + w*i + x + r*i**4 and give x.\nAnswer: -1904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3310 + -3315. Sort 5\/2, c, -4\/7, -2\/3, 10 in ascending order.\nAnswer: c, -2\/3, -4\/7, 5\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:36 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 141, -2\/7, -0.5 in increasing order.\nAnswer: -6, -0.5, -2\/7, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 76 = -2*m - 17, -4*r = 2*m - 44. Let x be 1 + (-148)\/(-14) + m\/(-49). Solve -x = -4*f + 5*v, 5*f - 2 = -3*v - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 542633229742.\nAnswer: 542633229741.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68418 divided by -6?\nAnswer: -11403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 1\/2*-4. Let c(a) = -5*a**3 + 2*a**2 - a. Let g be c(1). What is the second smallest value in h, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + 6 + -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j**4\/13 - 32*j**3\/13 + 10*j**2\/13 + 4*j\/13 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*f**3*x + 20*f**3 - f**2*x + 24*f*x + 101*x wrt f?\nAnswer: 396*f*x + 120*f - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.093 to 2 decimal places.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(162)*-1*-4 + -1*(sqrt(162) + sqrt(162) + 1 + 2 + sqrt(162) + sqrt(162)))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -86*n - 1543. Let p be y(-18). Solve -3*h - 18 = p*j, -104 = 3*h + 4*j - 89 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 129\/774 + (-554)\/300. Let h = -101\/75 - g. Let b = 1 + -2. What is the nearest to 2\/7 in b, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose -5*w + 41 + 14 = a. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 11 - 3 = -3*f, 0 = -4*l + 5*f - 28. Let k = l + 17. Suppose k = 2*s + 3. Calculate the lowest common multiple of s and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -88.5 (c) 2 (d) 1\/25 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -20*q**3\/21 - 6*q**2 + 353. Factor a(u).\nAnswer: -4*u*(5*u + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3. Let f(t) = -t + 4. Let o(h) = 2*f(h) - 3*l(h). Let u = 47 - 46. Calculate o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 5 - 4 - m + 1 in the form v*m + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 379784263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -32, -21 in ascending order.\nAnswer: -32, -21, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0454 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/21 (c) -550.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27836016*m**2 - 22169229*m wrt m.\nAnswer: 55672032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let y = f - -6. Let c(u) = -y*u + 3*u + 2*u. Let x(r) = -2*r**2. Give c(x(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/71753 and 8\/14696319.\nAnswer: 161659509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37540737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*52*((-3198)\/52)\/(-41).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*m - 2189, -4*g + 1249 = 4*m - 943. Is 74 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49160 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88707 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9*s = -10*s - 20, -4*w + 15 = -s. Let v(f) = -2*f**2 + 3*f - 5. Let j(t) = 2*t**2 - 3*t + 6. Calculate w*j(u) + 6*v(u).\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6527605 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 15*f**2 + 29*f + 86. Let p be l(17). Which is the nearest to -0.2? (a) 4\/5 (b) -4 (c) -2\/23 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52472*s**2 - 6673*s wrt s?\nAnswer: -104944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/33*(9975\/114)\/175?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-96)\/60 + 0 + 2. Let c = -0.2 - -0.3. Sort j, 3, c.\nAnswer: c, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -59, -132, -235, -368, -531, -724?\n\"Answer: -15*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 1499*t - 4.\nAnswer: -1499*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/3 - ((-144)\/27 + 5). Let l be -2 - (-2)\/2 - -2. What is the third derivative of -7*f**d + l + f**2 - 3*f**5 - 1 wrt f?\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h + 10*h - 4*h to x + r*h and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let d = 653\/780 - 32\/39. Let l(c) be the third derivative of 0 + d*c**5 + 0*c**3 + 3*c**2 + 0*c**4 + 0*c. What is l(h(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3 + 1. Sort a, -4, 0 in increasing order.\nAnswer: -4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(1\/6))*l*l\/(l**0\/l)*l)**(-3\/2)\/(l**(-6)*(l*l**2)\/l)**50 assuming l is positive.\nAnswer: l**(777\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -6, -1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250630164?\nAnswer: 2, 3, 31, 224579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*-7*15\/210?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.3 + -1.7. Let d = o - -11. Put -4, 0.1, d in decreasing order.\nAnswer: 0.1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 4211 = 24005. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 - 1630*q + 132845 = 0. Calculate q.\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 0*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*f - 72 = -0*f, -4*p - 4*f = -228. Let k be p\/8 - 3\/2. Suppose -k*j = 2 + 3. Which is smaller: 2\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5021.8 + -5022. Let v = -1 + 4. Which is the nearest to u? (a) 2\/7 (b) v (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 21 = -226. Let p(u) = 2*u**2 + 8*u + 4. Let v(n) = -4*n**2 - 17*n - 9. Calculate i*p(o) - 6*v(o).\nAnswer: -2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -128 in decreasing order.\nAnswer: -1, -5, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*((sqrt(6300)*2)\/sqrt(9) + 4))**2.\nAnswer: 12000*sqrt(7) + 211200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-4\/3)*m**4*m**(-2\/33)\/(m**12\/m) assuming m is positive.\nAnswer: m**(-244\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0026322 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 38.8572 hours?\nAnswer: 139885920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2dd80b?\nAnswer: 2dd806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*x**4 - 9309*x**2 - x - 1287350 wrt x.\nAnswer: 1752*x**2 - 18618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 9 + 5*d - 9*d - 5*d. Let l be h(8). List the prime factors of l + -2 + 15 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1230\/7*5\/20. Let d = 87\/2 - w. What is the closest to -6 in 0.3, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 - 4\/3*i**3 - i - 2. Find the first derivative of l(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 1869930323.55?\nAnswer: 1869930325.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.374 times -8\nAnswer: -2.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 4525.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018798 to five decimal places.\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1743 divide 225669696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 3*y**2 + 6*y - 17. Determine h(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let n(q) be the first derivative of 2*q + 1\/6*q**3 + 3 - q**k. Factor n(m).\nAnswer: (m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 16 + 5 + -1 - (24 + -46 + 96).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 4 + -3)**2 + (sqrt(15)\/sqrt(192)*-6)**2.\nAnswer: 4*sqrt(5) + 381\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 367236448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2873685?\nAnswer: -1\/957895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 - a759?\nAnswer: -a722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.04 (b) 0.063 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*u + 166*u. Solve -w - l = -2, u = -w - 3*l + l + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*o - 2*r, -5*o + 2*r - 1193 + 1264 = 0. What is the remainder when 65 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 10. Let s be c(10). Solve -2*r = s, -m - 4*r - 16 = -r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 5*b**3 + 476 - 160 - 161.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37845?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56854450857 - -56854862390.549099. Let l = -411710.549 + r. Let x = l - -177. What is x rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145079?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 8*t. Suppose -o - 3*o = t. Suppose -5*v + 191 + 64 = o. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0 + -1)*7 + 42 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6446418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 7180 (c) -4 (d) 1\/241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + r)*(-2*r - 16*r + 4*r).\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 16*l - 7. What is the remainder when 27 is divided by w(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -25*u**3\/3 - 3*u. Let o(b) = -93*b. Let a(m) = -125*m. Let t(r) = -3*a(r) + 4*o(r). Give g(t(l)).\nAnswer: -150*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 199779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25353*q - 25385*q + 480 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -55, -17.3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 - -4?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 300 = 303. Solve 8 = 3*p - d, 21 = p + 4*d + i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 567129\/7 - 81175. Is v <= -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*t - 35. Suppose -3 = 3*l - t. Let j be (10\/l)\/((-8)\/(-12)). Put 4, j, -4 in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 7\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*(3 + -3). Find o, given that -4\/5*o**3 + 0 + y*o**4 + 2\/5*o + 0*o**2 + 2\/5*o**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (302*q**2 - 721*q**2 + 326*q**2)*(3 - 1 + q + 0) to the form k*q + b + l*q**2 + x*q**3 and give l.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:23 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133501294 divided by 66750647.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 2\/2 - -2. Let t be 21972\/(-5490) + 1*4. Let n = 5512\/10065 + t. What is the nearest to 2 in n, j, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a**1\/a)\/a))**(-41) assuming a is positive.\nAnswer: a**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2.05.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -32, -6*v - 40 = -7*v - 5*o. Sort v, 4, -375.\nAnswer: -375, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2356*q + 2367*q = -11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786 is divided by 104.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*l - 1 + (331 - 331 - 25*l)*(-3 + 2 + 0) + 1 - 1 - l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -26*g - 11. Let z(a) = -9*a - 4. Calculate -3*d(p) + 8*z(p).\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -1202112220?\nAnswer: 1202120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + h - 2. Let n be j(1). Solve n*z = 3*w, -w + 0*z = -3*z - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 6749183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 56*w - 60*w, -3*w = -17*v - 111 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 129 - 4\/8*-2. Suppose g*o = 126*o. Suppose 3*f - 2*p - 655 = o, -5*f + 1077 = -0*p + 4*p. What is the highest common divisor of 31 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -6*q**4\/5 - 1438*q**3\/5 - 954*q**2\/5 + 478*q\/5 = 0.\nAnswer: -239, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995.82456 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**2\/2 - 54. Let k(j) = -1 + 2 - 1 + 6*j. Let o(c) = 7*c. Let f(a) = -5*k(a) + 4*o(a). What is p(f(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39256504 and -0.4.\nAnswer: -15702601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21333 (base 4) to base 8.\nAnswer: -1177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 17*o**2 - 77*o + 53. Let m be s(8). Solve -98 = m*y - 163 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/1863)\/((-2)\/6)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9923 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 400203204 (base 5) to base 15\nAnswer: 20ee1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k**3 + 1\/3*k**6 + 0*k**4 - 3 + 0*k**5 + 0*k - 3*k**2. Find the second derivative of i(d) wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -538, -1175, -2054, -3169, -4514, -6083?\nAnswer: -7870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 11*u - 19. Let f be p(-7). Calculate the common denominator of -71\/80 and f\/24 - (-705)\/(-360).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/6 - j. Let s(o) be the third derivative of -o**5\/12 + 22110*o**2. Calculate n(s(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -537, -1649, -3751, -7167?\nAnswer: -12221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 180104622 plus 405092?\nAnswer: 180509714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 4. Let w be 0\/6 + j*121. Suppose -5*l + 1363 - w = 0. Calculate the greatest common divisor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 19295435\nAnswer: -1\/19295435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67962*m - 67961*m + 135921*m + 10.\nAnswer: -2*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.218913 millilitres?\nAnswer: 0.009218913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:53 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*i + 1496 = 0, -f + 907 - 187 = -5*i. What is f rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*c = -24, -4*o = -c - 6 - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - 2*a**4 + a**4)*(1 - 2 + 2 + (-5 - 1 + 5)*(2 - 4 + 1)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, t: 1, e: 2}. What is prob of sequence retr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300734 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + 5*o**3\/6 + 63*o**2\/2 + 84*o - 36. Determine b(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 33 = 4*u, -31 = -5*u + 4*g - 0*g. Let o(x) = x**3 - 4*x**2 - 14*x - 1. What is the smallest common multiple of 33 and o(u)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 5*y - 2. Let s = 71 + -51. Suppose -3*p = -5 + s. Let o(t) = 4 + 0*t**2 - 9*t + 0*t - 3*t**2 + 0*t**2. Determine p*f(i) - 3*o(i).\nAnswer: -i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 11*l + 10. Let j(t) = t**3 - 8*t**2 + 5*t + 3. Let x be j(7). Let g be w(x). Is 10 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 2*w + 1. Let r = -18 - -26. Suppose -r = -5*t + 2. Let s be x(t). Solve 2*h + 1 = -k, -5*h + s*k = 3 + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 + 9*m**2 - 4*m + 10. Let c(q) = 2*q**3 - 4*q**2 + 2*q - 5. Give 13*c(o) + 6*u(o).\nAnswer: 2*o**3 + 2*o**2 + 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 44 = p + 3, 9 = p + 5*g. Calculate the remainder when 57 is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110222022 (base 3) in base 2?\nAnswer: -10010011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6*k + 4. Let n be h(6). Let b = 115 + n. Let p = -17 + b. Solve -4*a = -2*q - p, -4*q - 30 = -4*a + 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.1154733572219 from -5.\nAnswer: -1.8845266427781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 9*u + 9. Let a be j(-7). Let w = -9 + a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 191751.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*v**6 - 405860*v**4 - 369491494*v**2 wrt v.\nAnswer: -17400*v**3 - 9740640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4853, -32, -39, 1.\nAnswer: -4853, -39, -32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -20*j + 28. Give x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5 + 16172*h**4 + 16305376*h**3 - 81802000*h**2 + 131025664*h - 65545216 = 0.\nAnswer: -2024, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068293 rounded to five decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1286 and 1658940?\nAnswer: 1658940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l - 3. Let p be u(-3). Let c = 10 - p. Let o = c - -14. What is the lowest common multiple of 22 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43990 = -4*a + 2*d, -137*a + 133*a = 5*d - 43997. Is a a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/25*(-10)\/6. Suppose 0 = -5*w - 40 + 20. What is the nearest to w in m, -2\/21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -8. What is the common denominator of 2\/t + 134\/(-12) and 139\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/33 and (92\/24)\/((-1)\/(4\/(-6))).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 541 - 481. Factor -29*o - 1764 - o**2 + 53*o + q*o.\nAnswer: -(o - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1320 and 235896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 267, 400, 533, 666, 799?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = 0, 6*o + 3*a + 45 = 11*o. Let n(k) = 12*k + 5. What are the prime factors of n(o)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*m - 2*m - 16, 3*z = -9. Which is the third biggest value? (a) -19 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -352, -351, -342, -319, -276, -207, -106?\n\"Answer: c**3 - 2*c**2 - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12233610.\nAnswer: 2, 3, 5, 135929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2 + 0*x + 0*x**2 - 2\/3*x**3. Let l(d) be the third derivative of 7*d**4\/24 - 5*d**2. What is w(l(t))?\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46583 (base 12) to base 9.\nAnswer: -153110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3885911 and 5\/2057247.\nAnswer: 34973199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 202 and 64.511.\nAnswer: 13031.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20652522 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.935563 - 12.135084. Let k = 23.8 - i. What is k rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 39. Suppose -5*v + 3*v + 11 = l, -3*l + 29 = j*v. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2*t + 3, -t + 13 = -3*w + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.1998.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.141 times -768?\nAnswer: 108.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 3145*d**3\/6 + 1565*d**2 - 9*d - 88. Find the first derivative of k(q) wrt q.\nAnswer: 3145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104433041 (base 5) to base 2.\nAnswer: 1110010001110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81.90374 millilitres?\nAnswer: 0.08190374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v, 0*v = -2*z + 4*v + 218554. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2857, 8726, 18501, 32182, 49769, 71262, 96661?\n\"Answer: 1953*a**2 + 10*a + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 2*(-34 - 3). Suppose -39 = -8*q - 31. Is 18 a factor of (-206)\/3*q*(-324)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-4)\/2))\/(-113 - -111)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-408)\/153*(35\/10 + -2). Let k(b) = b**3 - 7*b**2 + 5*b + 4. Let g be k(6). Let r be 22\/(-24) + g\/(-8). What is the third biggest value in -1, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 3.1\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -87, 3, 40, 1 in decreasing order.\nAnswer: 40, 4, 3, 1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20\/5 + (-68)\/18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -497.145 + 496. Let b = -10.525 - g. Round b to one decimal place.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p**3 + 232484*p**2 - 2513204*p - 511940 = 0.\nAnswer: -11635, -1\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -452523, -905162, -1357801?\nAnswer: -1810440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4) - 3)*(2 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -16*j - 114. Calculate m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 5*g**2 + 6*g. Let f be u(4). Let d(v) = v**3 - 9*v**2 + 7*v - 10. Let w be d(f). Is 4\/w - (-12054)\/54 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 314 = -5*m. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1845, 7374, 16589, 29490, 46077, 66350, 90309?\n\"Answer: 1843*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d*g**3*v**2*y + 10*d*g**3*v**2 + 9*d*g**3 - d*g**2*v**2*y + d*g**2*v**2 + 4*d*g*v**2*y + 43*g**2*v**2 + 11*g*v**2 wrt g.\nAnswer: 18*d*v**2*y + 60*d*v**2 + 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*h + 1159 + 400, -4*h - 1567 = -x. Suppose 2*b + 2*g = 1034, 4*b + g = b + x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (48 - -8 - 45)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290577 + 54869 - 179452 = 6996*u - 2716*u for u.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:07 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = r, 5*r + 5*u + 12 - 42 = 0. Suppose 5*v - 9*v = 0. Suppose v = 3*g + 9 + r. Sort 3, g, 2.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 3*h**5\/4 + h**4\/12 - h**2\/2 + 2*h. What are the prime factors of z(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/8 + -1)*(-115 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -105 + 32 - -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4)*(-6)\/(-60)*-6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -26 + -1 + (11 - 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -78 (c) -6.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 1473 - 111. Suppose 15*q - 4*q - y = 0. Solve -q = -4*n, 0 = -5*r - 5*n + 25 + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 10, 28, 48, 70?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**7\/1008 - u**6\/72 - u**5\/16 - 43*u**4\/6 + 45*u. Let h(q) be the third derivative of p(q). Find w, given that h(w) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -5.9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -a + 14, -424*p + 429*p = -0*a - 3*a - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40317156 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 516 + -236. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8436741.8665531183796 + 2.8665536183796. Let t = j - -8436742. Let m = -3 + t. Round m to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10287447.71 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 3. Let l be -9 - (-2 + 2 + -2). Let q be s(l). Find the first derivative of 7*t - q*t - 4*t**2 - 3*t + 2 wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x**5\/19 - 58*x**4\/19 + 6*x**3\/19 = 0. Calculate x.\nAnswer: -1, 0, 3\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/3, -1, 3, 85 in descending order.\nAnswer: 85, 3, 1\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 6)*(4*c**2 + 2*c**2 - 2*c**2)*(1 - 1 - 3).\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 0*d**2 - 8\/3*d**3 + 0*d + 2 + 1\/4*d**4. Find the third derivative of r(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 4*f**2 + f - 5. Let x be 16\/12*(1 + 2). Suppose -4*s + k + 15 = 0, 0 = -4*s - x*k + 40. Is y(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*w + 17, -5*x = -5*w - x - 35. Let s be (2 + w)\/(-1) + 5. Suppose y + y = s. Solve q - 8 = -y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6546363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*g - 3*y, 6*g - 3*g - 7 = 7*y - 9*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 54. Let v(x) = 3*x - 53. Calculate 4*l(g) - 3*v(g).\nAnswer: -5*g - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23549 + -9611. List the prime factors of u.\nAnswer: 2, 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 6:52 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a - 26. What is the highest common factor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12013 a factor of 278703181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -40 (b) -4 (c) 0 (d) 2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77809293 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**8\/1680 - v**7\/630 - v**6\/180 + v**5\/30 + v**4\/8 + 8*v**2. Let s(u) be the second derivative of l(u). Factor s(r).\nAnswer: 4*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - -9)\/(-1 - -4). Let y = -5 + 4. Which is the nearest to q? (a) 1 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-21))\/(407\/(-2849)). Solve 26\/9*f**m + 0 + 0*f + 8\/3*f**2 + 160\/9*f**3 = 0.\nAnswer: -6, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 50*b**2 + 575*b + 92. What is y(18)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 2, a: 10, f: 1}. What is prob of picking 2 a?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837 a factor of 149406884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 5, v: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-14))\/(w**(-6)\/w) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + d + 0*d + (2*d + 23 - 23)*(1 - 1 + 2).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4048 and 7216.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let w(v) = v**2 - 2*v**2 + 5*v - g + 9*v - 6*v. What is the smallest common multiple of 10 and w(6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*h + 10565 = -906*h - 35701 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005218?\nAnswer: 2, 3, 17, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**4 + 116*w**3 + 972*w**2 - 8*w + 8. Let y(p) = -2*p**4 + 39*p**3 + 324*p**2 - 3*p + 3. Let x(c) = -3*u(c) + 8*y(c). Let x(t) = 0. What is t?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 413225541?\nAnswer: 413225536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.7 + 19. Suppose 0 = 5*s + 2*g, -3*s = -0*g - 3*g. Let t be (-8)\/6*3\/(-26). Put s, w, t in descending order.\nAnswer: w, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**2\/3 + 1552*x\/3 + 310\/3.\nAnswer: 2*(x + 155)*(5*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 609 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 2. Let y be o(0). Is (-1)\/(6\/(-381))*y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2907, -4788, -6669, -8550, -10431?\n\"Answer: -1881*l - 1026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 73, 104, 133, 160, 185, 208?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 58 - ((-6 + -2 - -38) + 5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1786 = n + 3*g, -28*n - 2*g = -30*n + 3588. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8429 + 8429. What is the third biggest value in k, -19, 0.2, 17, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 41*x**2 - 6*x - 1. Let n be j(5). Suppose z - 8375 = -n. Is z\/33 - 4\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7580 - -7616. Solve 11*i = 5*i - t for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7784 is divided by 229.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let m(x) = -236*x**2. Calculate m(b(c)).\nAnswer: -944*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -731*z**4 + 1618*z?\nAnswer: -8772*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*p + 4, -2*b = -14*p + 16*p + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6900.057 to zero dps.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -11 - 5984\/(-850).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 217721*m**3 - 435444*m**3 + 217720*m**3 - 61.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 903 = 3285. Suppose i = -4*p - f, 5*f + 6 = 1. Let k = p - -111. Solve -3*h + k = -0*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56238)\/(-1217151))\/(14\/6)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(119)*6 - sqrt(119))\/(sqrt(28)\/sqrt(4)*-6).\nAnswer: -11*sqrt(17)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 96 = -4*f + f, 2*f + 48 = 2*a. Which is greater: -26 or f?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:17 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = -4. Solve -2*s + x = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + ((sqrt(76) + sqrt(76) + -6*(-1 + sqrt(76)) - (sqrt(76) + 1 + 4)) + 2*(-1 + sqrt(76)) + sqrt(76) + (sqrt(76)*-1 - sqrt(76)) + -4)**2).\nAnswer: -1242 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -524*a + 5. Let z(b) = 261*b - 2. Let l(r) = 6*j(r) + 11*z(r). Is l(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -70\/3. Which is the biggest value? (a) -5 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440822, -881214, -1321592, -1761950, -2202282, -2642582, -3082844, -3523062?\nAnswer: -3963230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 9*x**3 + 320. Let q(u) = -3*u**2. What is t(q(c))?\nAnswer: 243*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650 (base 14) in base 16?\nAnswer: 1a4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -17. Let p(n) = -n**2 - 6*n - 6. Let x be p(-4). Find the third derivative of -i*w**5 + w**2 + x - 2 wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20807?\nAnswer: 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4593936*c**3 + 9187268*c**3 - 4593327*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45123 is divided by 20081?\nAnswer: 4961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -29 and -1.33.\nAnswer: -30.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -5984 (c) -4\/5 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -85, -3, 9, 2, 1, -768 in decreasing order.\nAnswer: 9, 4, 2, 1, -3, -85, -768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1647.5 and 0.09?\nAnswer: 148.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111101010 (base 2) to base 10.\nAnswer: 5098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-4410)\/(-28)) - 29\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*k - d - d, 5*k + 5*d = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*b = -140, 62 = -5*s - 3*b - 73. Are -23 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-92)*(-6)\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 202602 + -79795. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385, -1570, -3547, -6316, -9877?\nAnswer: -14230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3064 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from dddddddhdhdhfdd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2\/3 - 678242*c - 508682\/3.\nAnswer: 2*(c - 254341)*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638307.7cm to nanometers.\nAnswer: 6383077000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/(-9) - 10\/15)\/(-1). Suppose -2*j + s + 684 = 2*s, 5*j = -y*s + 1711. Is 48 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 503571757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/17 - 11\/85. Let o = -2019863\/9 + 224429. What is the nearest to p in -1\/5, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2 + 2*a - 2. Suppose 0 = -3*h - 10*f + 5*f + 19, 0 = -4*h - 3*f + 7. Let n(q) = -2*q. What is h*d(w) - n(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {f: 1, j: 1, n: 1, g: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 702593699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/3)\/(6\/9). Let v = 2 - l. Solve -2*r - 2*r + 4*a + 20 = v, r + 5 = -a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 0. Suppose 3*q - a = -3. Solve -q*v = -3*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 649 or 7538?\nAnswer: 7538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 7*o + 465 = -2*o, -5*f = -5*o - 175. What is the lowest common multiple of f and (-38)\/(-3) - (-6)\/(-9)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43947, 43946, 43943, 43938, 43931?\n\"Answer: -h**2 + 2*h + 43946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-11.5.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*k = 43*k - 23*k + 76. Suppose -c - t + 2 = 1, -35 = -3*c + 5*t. Put k, -4, c in decreasing order.\nAnswer: c, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.76196 litres?\nAnswer: 6761.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**5 + 2*s**4 + 3*s**3 - 1. Let k(w) = w**3 + 1. Let p(g) = 2*k(g) + 2*v(g). Factor p(z).\nAnswer: -4*z**3*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 26*i + 326. Let p(t) = 3*t**2 - 12*t + 163. Let o(d) = 7*p(d) - 4*q(d). Let a be o(-23). Which is smaller: a or -90?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2687\/6 + -1351\/3. Let y = 1 + -1. Which is the second biggest value? (a) y (b) v (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 9, r: 2}. What is prob of sequence yryr?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 1476514148.\nAnswer: 1476514144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 6*l**2 + 7*l + 1. Let u(h) = -2*h**3 - 2*h**2 + 2. Calculate the smallest common multiple of z(5) and u(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by -1.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 5. Solve 3*g + 9 + 14 = -2*f, f = g + n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -64, -124, -208, -316, -448?\n\"Answer: -12*y**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*t**2 - 60*t**3 - 17*t**2 + 90*t**3 - 71*t**3 wrt t.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*((sqrt(325) + ((sqrt(325)*-2)**2 - sqrt(325)) - sqrt(325)) + -3 + (sqrt(52))**2).\nAnswer: -30*sqrt(13) + 8094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 240544361?\nAnswer: -240544350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 641*p + 1. Let o(a) = -640*a - 1. Let w(b) = 3*c(b) + 2*o(b). Let f be w(2). Suppose 6*g = 17*g - f. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*i - 6041, 68*i - 2003 = 67*i - 4*h. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y. Let g(f) = -11*f - 1. Give -5*c(d) - 3*g(d).\nAnswer: 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n - 8 = 0. Let r(u) = -10*u - 10. Let l be r(-1). Suppose l*o - 7*o + 28 = 0. Put n, o, 1 in ascending order.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 385*u + 196 + 122 + 389*u to p*u + f and give f.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2438632030?\nAnswer: 2, 5, 41, 71, 83773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + -4)\/(-9)*69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - l)*(0 + 1 + 0)*(6*l - 5*l - 40*l).\nAnswer: -78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1. Suppose -77*v - 74*v = -906. Let g(r) = -r - 11. Give v*p(b) + g(b).\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31711 + -32079.14. Round b to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/37, 5\/13 in increasing order.\nAnswer: -2\/37, 5\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6*4*1*3\/(-54)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -10. Let u(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - 5*a**3\/6 + a**2\/2 - 3*a. Let j be u(-4). Solve -j*h - o + 2 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11073 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: Solve 65 = 1117*s - 1130*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 18, -5 in increasing order.\nAnswer: -5, -3, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukuussussqu. What is prob of sequence ss?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6)*-15013)\/((-4)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44, -33, -8, 37, 108, 211, 352?\n\"Answer: p**3 + p**2 + p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9033835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38663 is divided by 4831?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/24 + 15\/8. Let l(a) be the first derivative of 2 - i*a**2 + 2\/9*a**3 + 0*a. Suppose l(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 36 = -5*z + z, -9 = -5*d - 4*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 34*w - 1971. Give p(39).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 455437887.48266\nAnswer: -455437867.48266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8402244 is divided by 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -751 - 6079?\nAnswer: -6830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.06 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 3*v**2 - v - 3. Let g be s(-2). Suppose 0*k - 2*k = y - g, 3*k - 2*y = -6. Let i = -6926 + 6929. What is the smallest value in i, 4, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from jjjjjojjjoj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3435\/28 - -397\/4. Let c(y) = -22*y**2 + 2*y + 1. Let t be c(-1). Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4259, -1, 0.\nAnswer: -4259, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -532*z**3 - z**2 + 2*z + 1. Let p be m(-1). Suppose 938 = -4*y + 4*d - p, 749 = -2*y - 3*d. Let a = y - -1625. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22002020021202 (base 3) to base 10\nAnswer: 4295477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-9) + -3)*268*-15. Let z = 54 + -48. What is the units digit of 8 + d\/15 - (-8)\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2626 and 25480.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 3 = -2*t - 3*z, t + 3*z = 15. Suppose 5*s = -c - 112, -c + 3*s = 5*s + 124. Calculate the common denominator of 2 - 0 - 43*t\/c and 23\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 2*b**2 - 6*b - 1. Give k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-6))\/(2\/18). Let s(r) = -4*r**c + r + 4*r**2 - 3*r**2 + 3*r**3 + 1. Let j be s(0). Which is smaller: j or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -422, -1572, -3804, -7478?\nAnswer: -12954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r. Let z(j) = 97626*j**2 - 98833*j**2 - 16 + 16. Determine z(n(k)).\nAnswer: -10863*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of (8\/12)\/(3\/109368)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2375 and 30115.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -12 - -1 - (-47 + 75 + -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 take away -0.0452?\nAnswer: -2.1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 5*v + 215. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i**2 - 16*i**2 + 26*i**2)*(0 - 1 - 1).\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -467, -696, -921, -1142, -1359, -1572?\nAnswer: -1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-15)\/36 + 8\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1546467 (base 8) to base 6\nAnswer: 13315355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -248 (c) -0.1 (d) 0.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Suppose -2*q - x*q - 5 = 5*p, 2*p = -5*q - 11. Let j(r) = 3*r - 1. Let o be j(1). Solve -i - 5 = p*i - o*l, 5*i = 4*l - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -190.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 20, -3*p - 3*r = -60. Let w = 53 + -137. What is the remainder when 1\/((-7)\/6)*w is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-48)\/18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 83 (b) 5692\/3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2354264953 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -1652, -3521, -6088, -9359, -13340?\nAnswer: -18037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-64)\/30 - -2). Let c be (-4)\/((1 - -1)\/2). Is b > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -543, -817, -1091, -1365?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 55 = 5*l + 5*z, 0 = -2*l - z + 23. Suppose 12 = 2*k - 3*b, -4*b + l = k + 4. Suppose 5*c + 8 = 9*c. What is the least common multiple of k and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*sqrt(45)\/sqrt(5))\/((sqrt(120)\/sqrt(4))\/sqrt(10)))**2*-3.\nAnswer: -11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:40 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 357 divided by 77945\nAnswer: 3\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 4*c**2 + 6*c + 5. Let i be v(-5). Let b(u) = u + u - u + i*u. Let h(q) = q**2. What is h(b(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 r when three letters picked without replacement from wwrwwrrrrwwrr?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 738*w. Let f(l) be the first derivative of l**3 - 402. Calculate b(f(r)).\nAnswer: 2214*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60472.05 - 0.2718?\nAnswer: 60471.7782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/13, -1\/2 in ascending order.\nAnswer: -1\/2, -2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 12*b + 8. Let x(z) = -5*z**2 - 60*z + 40. Let a(q) = 11*h(q) - 2*x(q). Let v be a(-11). Let p = 30 - v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -6*f**5 + 50*f**4 - 18*f**3 - 330*f**2 - 376*f - 120 = 0.\nAnswer: -1, -2\/3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.6 - 6. Let z = 2 - 1.7. Let k = q - z. Sort 5, 3, k in decreasing order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98985 (base 12) to base 8.\nAnswer: 612165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonoooon. Give prob of sequence ono.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 33 - 3 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/3)\/n)*n**(-2\/3))\/((n**0\/n)\/n)**(-10))**(4\/17) assuming n is positive.\nAnswer: n**(-220\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 2*o + (-3 - 1 + 7)*(2*o - o + o) as a + b*o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*u + 16 = 0, 2*o - u - 6 = 3*u. Suppose 9 = -2*s - 3*a, 3*s + 2*a = -2*s + o. Suppose 3*t = -0*h + s*h, 0 = -2*h + 4*t + 6. Is -2 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - j + 236. What is m(0)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-21)*(-3)\/4. Let n = 0 - 0.1. Which is the nearest to -1? (a) o (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549613 = -5*w - 1549403 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -0.0432?\nAnswer: -0.2568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 3*n + 4*n)*(508325*n - 508325*n + 525*n**2)*(n - n + n) as z*n**2 + y + u*n**4 + j*n + t*n**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40326)\/(-5499))\/((-1)\/((-6)\/4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 835, 1708, 3153, 5164, 7735?\n\"Answer: -o**3 + 292*o**2 + 4*o + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/264 - (-8)\/44) + -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/5700*76*-2*-1*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (48\/60)\/((-3)\/((-30)\/(-76)))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c - 6, 4*j - 83 = 5*c. Suppose -12*u + j*u = 25. Solve u*x + 16 = -2*y, x + 13 = -3*y - x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4 + 0 + 2. Let z(a) = -a - 2. Suppose 0 = q - 2 - 0. Suppose 5*f = -q*r, 2*f + 3*r = f - 13. Determine f*z(d) - l(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**2 - 8256*g - 100962. Determine m(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014487939 rounded to 5 dps?\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p - 132. Let o be y(-18). Let s = -119 + o. Sort -3\/7, -4, -3\/5, s in descending order.\nAnswer: s, -3\/7, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 + 2*j + 2. Let l(y) = -y**2 - y. Let q(d) = -3*l(d) + x(d). Suppose q(f) = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 565 + -304. Let v = -2723 - -2732. Calculate the greatest common factor of t and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 2:22 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -7, 0.3, 93\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 18*n - 32 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -185, -246.\nAnswer: -246, -185, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, -36 in decreasing order.\nAnswer: 0.5, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 13*b**2 - 14*b + 3. Let c(g) = -3*g**3 + 38*g**2 - 41*g + 9. Let f = -34 - -36. Suppose 7*o = 40 + f. Let q(d) = o*c(d) - 17*n(d). Give q(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 25. Let o = -20 + l. Let f = 13\/4 - 15\/4. What is the nearest to o in 0.1, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/(((-124)\/62)\/(6\/3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115189070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -122061212 - 2?\nAnswer: -122061214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15135 (base 6) in base 11?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - 10*j**2 + 8*j + 10. Let y(s) = -s**3 - 10*s**2 + 9*s - 16. Let u be y(-11). Is d(u) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -2 + 2 + -43. Let h = -19 - z. What is the remainder when 51 is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6 + 8*o + 9 + 23 + 0*o. Determine w(-12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*-3*(5 + -1*sqrt(1700)) - (sqrt(1700) + sqrt(1700)*-1*6 + sqrt(1700) + sqrt(1700))*-1*5))**2.\nAnswer: -50400*sqrt(17) + 3002400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79966 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 5*b, -2*o = 107*b - 103*b + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 348, 323, 278, 207, 104, -37?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7395 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4 = 0, -12*j + 16 = -8*j + a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 3*f**3 + 4*f**3 + 0*f**3 + 3. Let w be k(0). Let y = w + 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*x - 64, r = -4*x - 0*x - 90. Which is greater: -1\/2 or x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-13))\/(-12)*(-2)\/4*58\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/((-30650)\/14712)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342939947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q + 0*q + 3*q in the form w + m*q and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {x: 2, d: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*-7*(1\/4)\/((102\/6)\/(-34)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cch. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6384 - 1059. Calculate the highest common factor of t and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -4 + -2 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -866*v + 191*v + 197*v + 112*v + 190*v + 178*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004004 (base 5) to base 8.\nAnswer: 37401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106431 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let z(c) = -7*c**3 - c**2 - 4*c - 3. Let i be z(m). Suppose -92 = -u + i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-2)**2*4*-3.\nAnswer: -14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d - 4048 = -61*d + 20*d for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.94 * -25029.\nAnswer: 23527.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 + b)*(2 + 6 + 1) in the form o*b + r and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 5554, 13995, 25812, 41005, 59574, 81519?\nAnswer: 106840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122002110 (base 3) in base 11?\nAnswer: -22170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -4*o - 2*s - 41, s + 2 = 0. Suppose 3*l = 4*r + o, 0 = 5*l + r - 5*r - 145. Solve 0 = -5*x + l, 3*x + 2 - 19 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*q - 268, -q - l = q - 137. Let c(b) = -12*b - 94. What is the remainder when q is divided by c(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1743*d - 310252. Calculate t(178).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6505912916?\nAnswer: 2, 151, 1063, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + 9 + -2 - (1 - -5)) + 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.6 * 0.3.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018625702 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppiiiipi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 - 10*v + 5. Let s(m) = 27*m**2 + 53*m - 26. Let a(y) = 2*s(y) + 11*x(y). Let j be a(-4). Solve -j*c + 1 = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - 6*g**2 + 89*g + 3. Let d(p) = -6*p**3 - 8*p**2 + 133*p + 4. Give 5*d(o) - 7*k(o).\nAnswer: -2*o**3 + 2*o**2 + 42*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l + 20 = 0. Solve 0 = -l*w + 3*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552444037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7 + 4. Suppose -18 = -4*m - 0*m - 2*y, 35 = 5*m + 5*y. Let a = 7 - m. Solve -a*i = -n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. What is the lowest common multiple of u and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -5959 - 30353. Suppose 0 = z, 4*l - i = 2*l + 4*z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -3.188792147478?\nAnswer: -10.188792147478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -65. Let u = 246 + -235. What is the remainder when p is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 1574 = 12*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 527696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3788.93043 + 3874.931. Let v = -86 + j. What is v rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (2*sqrt(300) + 1) - (5 + 2 + sqrt(300))) + (1 + sqrt(300) + 0 - (-5 + -2 + sqrt(300) + sqrt(300)))**2 + -3 + 3.\nAnswer: -180*sqrt(3) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4496\/(-6))\/((-58)\/217500). What is r rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 16) to base 3\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -15. Let p = -4.000026 - u. What is p rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 2. Suppose 0 = -5*a - 3*v - 19, 1 = 5*a + 4*v + 18. Let m be i(a). Solve 0 = -5*n + 2*n + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 2, n: 5, g: 5}. What is prob of sequence iwni?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 177. Suppose -65*r - 65 = -78*r. Suppose 2*x + r*n = u - 0, 0 = -4*x + 3*n + 431. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*a + 21. Suppose 22 = 2*m + 5*u, 0*u = 5*m + u - 9. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s. Let o(x) = -69*x**2 + 42*x + 12. Let q(a) = -1450*a**2 + 875*a + 250. Let k(j) = -125*o(j) + 6*q(j). Calculate k(m(u)).\nAnswer: -1200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 2*k = -8*t + 7, -6*k - 31 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*q = 155*q + 83*q - 8582 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9222)\/(-14) + (-16)\/(-56). Let r = i + -303. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**3\/3 - 7*y**2 + 6*y. Let h be s(9). Suppose -9 = -h*g + 3. Let z(j) = -5*j. Let p(b) = b. Calculate g*p(l) + z(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 + 41*f**3 - 99*f**2 - 15*f**3 - 11*f**3 - 26*f**2.\nAnswer: -4*f**3 - 125*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -19*p + 96. What is the first derivative of -83*k**p - 4*k**4 + 132 + 30 - 46*k**4 wrt k?\nAnswer: -532*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = n - 29, 1 + 11 = 3*n. Find the first derivative of -c*q**4 - 97 + 27*q**4 + 115*q - 32*q wrt q.\nAnswer: 8*q**3 + 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/50990 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 508.7729 milligrams?\nAnswer: 0.5087729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 4*k - k)*(1 + 1 + 8) in the form f*k + r and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1028 + 1006 - (0 + -39).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -164 and 169626?\nAnswer: -27818664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140666 divided by -122.\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3199\/1917 - -4\/1917. What is the smallest value in 3, k, 56, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1070524*d. Let a(k) = k + 39. What is s(a(x))?\nAnswer: 1070524*x + 41750436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 173690, 175913, 181942, 193679, 213026, 241885, 282158, 335747?\n\"Answer: 317*s**3 + s**2 + s + 173371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 2. Let u(w) = w**3 + 13*w**2 + 12*w - 3. Let r be u(-12). Is r smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8926 less than -8926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 864.1436ml?\nAnswer: 0.8641436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 0.4 (b) -232 (c) -89 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110.37012311 - -110.37. Round n to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((-8)\/(-13))\/(-18 + (-7552)\/(-416)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 281*d + 509*d + 273 + 287 - 557 to b + r*d and give r.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j + 457*j - 62*j = -6825 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 53*y**2 + 7*y - 3. Calculate the remainder when 223 is divided by a(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505092731 to the power of 1\/3, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 32*r**2 - 129*r. Let c(t) = 28*t**2 - 131*t. Let x(z) = 6*b(z) - 7*c(z). Let a(l) = -4*l**2. Calculate x(a(j)).\nAnswer: -64*j**4 - 572*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186 times 43.56?\nAnswer: 51662.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 16, -3*j = -21*s + 16*s - 26. Solve -18*d - j = 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1538 and 1.5736281?\nAnswer: 1.4198281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2949423998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j + 3. Let d(p) = -21*p + 7. Suppose -4*g - 123 = -3*l - 78, 5*l - 23 = -2*g. What is g*d(r) + 14*b(r)?\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-4))\/r)**(-40))**(-1\/70)\/(((r\/r**(-3))\/(r**7*r))\/(r**(-7\/2)*r**8)) assuming r is positive.\nAnswer: r**(151\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121 or -2\/371?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 + 5*s**4\/12 + s**3\/6 + s**2. Let d be q(-9). Let n = 11 + d. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2*(-2)\/12 - (-234)\/108)*162. What is the greatest common factor of t and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v - 3 = 0. Let g be (1 - 2 - v)*1. Let l(f) = -2*f + 16. Let t be l(-7). Solve g = -3*z - 3*c, -3*z - c - t = -8*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9502 - -9502. Solve -2801*b + 2790*b - 33 = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47792135 and 0.4.\nAnswer: -47792134.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -8*z - 6*z. What is the least common multiple of z and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/16*-8 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l**3 + 0*l + 50\/3*l**6 + 0*l**5 + 49\/2*l**2 + 25 + 0*l**4. Find the second derivative of n(u) wrt u.\nAnswer: 2000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104 + -70. Let k = 79 - q. Suppose -2*h + k = h. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 35. What is the highest common divisor of s and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 130.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 670388050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s - 6*s - 4*s - 8*s + 39*s + 11 - 12*s. Suppose 1 = 4*w - 7. Let p(l) = -3*l**2 + w*l**2 - l**2. Determine y(p(o)).\nAnswer: 4*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 105*w + 4*w**2 - 9*w**2 + 10*w**2 + 84*w.\nAnswer: 2*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = -p, 2*i - p = -0*p. Suppose 0 = 4*r - i*r - 10. Let w be r + 5\/(-1 + -4). Solve -1 + w = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u - 2. Let r be w(-2). Suppose 0 = 2*s + 2*s - 20. Suppose -4 = 4*n - s*n + o, 2*o = 3*n - 9. Solve -2*y = -4*a + a - n, -r = 4*a + 5*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + (-220)\/50. Which is the third biggest value? (a) 3 (b) y (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:30 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 424799\nAnswer: 2\/424799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2712 and 231198.\nAnswer: 924792","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -48665\nAnswer: 4\/48665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - (4 - 590\/36) and (-3)\/(10\/105*-12)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(196)\/sqrt(2) - (sqrt(216)\/sqrt(9) - sqrt(24) - sqrt(24))\/sqrt(12)).\nAnswer: -5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 7*y**2 + 3*y + 23. Let i be w(-7). Sort -2, 4, i, 1.\nAnswer: -2, 1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18726722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121\/19 - 1626\/133. Let g = 6 + z. Let u = -0.1 - -0.6. Which is the third biggest value? (a) g (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-25) - 78\/10 - (-1)\/(-2).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -47*t**4 - 37. Let b(w) = w**3 - w**3 + 31*w**4 - 19 + 44. Let m(j) = 8*b(j) + 5*i(j). What is the first derivative of m(d) wrt d?\nAnswer: 52*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 7:17 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186, -2036, -5740, -10926, -17594?\n\"Answer: -741*f**2 + f + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 484804210*a*g**3 + 178871112*g**3 with respect to a.\nAnswer: 484804210*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12360 and 2904.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2 - 8. Let b be 70\/(-2) + g + 0. Let d = -53914 + 53882. Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5305774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-14)*-1 + 1. Let n be (2 + -5 - -4)*1\/(-1). Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jebtjjintii. What is prob of picking 3 j and 1 i?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 4*o + 12.\nAnswer: (o + 4)*(o + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 the common denominator of 13\/76 and -65\/18?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4\/3, 0.6, 0.1, 1.449 in ascending order.\nAnswer: -3, -4\/3, 0.1, 0.6, 1.449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2. Let j(a) = -3*a**2 + a**2 + 7287952 - 7287952. What is j(f(d))?\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:37 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 389, -2\/5, 4, 5 in descending order.\nAnswer: 389, 5, 4, 0.5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3875 and 275.\nAnswer: 42625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1102569 + -7731523\/7. Let m = 1939 + j. Which is greater: m or 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooy when four letters picked without replacement from ooyoyyyooooyyyoo.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*v*y**3 - 12658*v*y + 2277*v + 4*y**2 - 7*y - 208 with respect to y.\nAnswer: 21*v*y**2 - 12658*v + 8*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i. Let g(a) = a - 2. Let o(t) = -3*t + 8. Let q(m) = 4*g(m) + o(m). Give 2*d(j) - 9*q(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1831 + 1787. Put -3, 1\/3, 0.4, q in decreasing order.\nAnswer: 0.4, 1\/3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.7 and -0.2.\nAnswer: -11.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 67396*w - 269584. Calculate p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v = 15. Let o be (19\/(-76))\/(1\/(-12)). Solve 2*j + i + 2 = 0, 4*i = o*j - 0*j + v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80166 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 12. Let z(d) = 10 + 12*d**3 - t*d**2 - 2*d**2 - 5*d**2. Let g(i) = -i**3 + i**2 - 1. Let v(p) = 22*g(p) + 2*z(p). Differentiate v(q) wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.017, -2\/7, 0.5 in descending order.\nAnswer: 0.5, -0.017, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*k - 230 = 0, -7*c + 5*k + 136 = -4*c. Solve 8*a + 71 = c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 5*l + 15, 0 = -4*k - 5*l - 24. What is the nearest to k in 4, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75438)\/(-1254) - (-96)\/(-608).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641.8 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59361319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-12)\/18*(-3)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 5, 0, -1, 113506, 1 in decreasing order.\nAnswer: 113506, 5, 4, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7 + (4 - 1 + 0)*(0 - 25 + 3))*(g**2 - g**2 + 2*g**3).\nAnswer: -134*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 3 - -3) + 1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 8*a**2 + 8*a + 9. Let h be x(-7). What is the second derivative of -27 - 2*w**2 + h*w + 27 + 0*w**2 wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11714 and 1265112?\nAnswer: 1265112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -11, -48762, -0.04, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2475.064688 + 2475. Let d = l + 0.065. What is d rounded to 5 dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4395c (base 14) to base 16.\nAnswer: 27f9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/7 - 18882*t**2\/7 - 75515*t\/7 - 56634\/7 = 0.\nAnswer: -18878, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3 + 5. Suppose -2*r = -4*k + 2, d*k - 3*r = k - 7. Put 1, k, -5 in descending order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-28)*j**(-8\/13))\/(j*j**(10\/13)*j*j*j\/(j**(-1\/7)*j)) assuming j is positive.\nAnswer: j**(-2778\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-5\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Suppose -l*f = 7 - 4. What is the units digit of (78\/(-18))\/(f\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 31*o + 64. Let i be h(23). Let p be 2\/(-4)*-1*(-40)\/i. Suppose -p*m + 1\/6*m**2 - 1 = 0. Calculate m.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(343) + 0 + -2)**2 + -4 + (-5*(sqrt(343) - (sqrt(343) + 1)) + sqrt(343))**2)*2.\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 18*g**2 + 18*g - 8. Determine f(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 19143077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261925 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 10 = -2*n + m, 5*m + 2 = -2*n. Suppose n*f - 44 = 4*l, 4*l = -17 - 3. Calculate the least common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(1*sqrt(1584) + -3)**2 - (3*(2*sqrt(1584) + sqrt(1584)) + 0)**2).\nAnswer: -125115 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10*(2 + -8)*1. Let q = -57 + g. Solve -n + 2*n - 5*h - 15 = 0, -h - q = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173\/12 + -51\/4. Let b(i) be the first derivative of 0*i - 2*i**5 - u*i**3 + 0*i**2 + 12 + 0*i**4. Find the third derivative of b(a) wrt a.\nAnswer: -240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13996*g**2. Let k(o) = -31*o**2. What is k(r(z))?\nAnswer: -6072528496*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 0, 5, 19 in increasing order.\nAnswer: 0, 5, 19, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {f: 7, z: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*a + 2 - 194*a + 1368*a + 1147*a - 653*a.\nAnswer: 2195*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**2 - 6*w - 11. Let x(a) = 7*a**2 + 7*a + 13. Let o(l) = -6*m(l) - 5*x(l). Suppose -4*s = -2*s. What is o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(891) + -1 + (sqrt(891) + -3 - sqrt(891)))**2.\nAnswer: -72*sqrt(11) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2) - 1)*(-10)\/15. Let j = -0.2 + 0.3. Which is the smallest value? (a) -0.1 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b. Let q(m) = 770*m + 13860. Let y(j) = j + 20. Let c(u) = q(u) - 693*y(u). What is k(c(l))?\nAnswer: -693*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130902 (base 11) in base 12?\nAnswer: 9b301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -48 + 22 + -110 + 21.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7598?\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(77)*-3)\/((-2*sqrt(448) + sqrt(448))*1))**2.\nAnswer: 2475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 64 = 3*r, 3*v = 3*r + v - 94. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/9)\/(2198\/471)*14\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -48*w + 1. Let a be 24\/(-9) + 4\/6. Is f(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13629.9518 - 13694.999399. Let x = 185.952837 - g. Let n = x + -251. Round n to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + s**2 + 1 + 0 - 4*s. Let f(c) = 2*c**2 - 50*c + 50. Let n be f(24). Give x(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 113 - -5?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3057*o**3 + 212*o**2 + 42*o + 108420.\nAnswer: 18342*o + 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.46 + -40. What is j rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/4 - 3*t**3 - t**2 + 4*t - 40. Let w = 2 + -11. Is 11 a factor of m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2218*n - 35491. Determine m(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/70*14)\/(5\/25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 554402963 to the power of 1\/2, to the nearest integer?\nAnswer: 23546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*k + 47, -4*b - 291626 = 4*k - 291558 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6) + (-1)\/10. Let g be ((-216)\/189)\/(24\/28). What is the nearest to 0 in g, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 3:39 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -47) + 1 + 16 + -2 + -28 + -14.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -397.608 * -20.7.\nAnswer: 8230.4856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 11*o**2 - 7*o + 4. Let j(k) = k**3 - 18*k**2 + 2*k - 26. Let q be j(18). List the prime factors of x(q).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 6 = 5*q, -d + 143*q = 145*q + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 226788084 and 36?\nAnswer: 226788084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42408 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*i. Let o be (-5)\/(-3) - i\/3. Is (0 - o)*(-126 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y**2 + 32*y + 9. Calculate the remainder when 261 is divided by i(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -91 (b) 1342 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020709213.\nAnswer: 12161, 83933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -241289\/182120 - 1\/9106. What is the common denominator of k and 85\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -792 + 2 - (-1)\/((-1)\/1). Let h = 8721\/11 + k. Is 3 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -849?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/14)*j**(-37))\/(j**(-13\/6)\/j)**(-1\/22))**(-3) assuming j is positive.\nAnswer: j**(34387\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 - 37*l**4 + 3938*l**3 + 981158*l**2 wrt l.\nAnswer: 60*l**2 - 888*l + 23628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82*(-3)\/(-36) - 4\/(-24). Find the third derivative of -s*o**2 + 49*o**4 - 744 + 33*o**4 + 747 wrt o.\nAnswer: 1968*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 13758*g**3 - 2*g**2 - 9*g + 11. What are the prime factors of u(1)?\nAnswer: 2, 3, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-8))\/(3\/6). Let m be (t - 2)\/(9\/(-12)). Solve -m*v + 3*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500481 is divided by 906?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.875 - 0.765. Let q = b - -30. Round q to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2096, -3, 1 in increasing order.\nAnswer: -3, 1, 2096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2 - 9*b - 6. Let z be o(-8). Let n be 7*1\/(-2)*-2. Solve -20 = n*y - z*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*m + 55 = 139*m. Solve 4 = -h + u - 2*u, -m*h - 3*u - 22 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - sqrt(360)*-4)\/(4*1*sqrt(8)).\nAnswer: 13*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 - y**3 + 0*y**2 + 26*y + 0*y**4 + 11\/5*y**5. What is the second derivative of v(h) wrt h?\nAnswer: 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346328702?\nAnswer: 2, 59, 2934989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 14 = -2*x, 5*x + 23 = 2119*z - 2118*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*y - 8, 8*z - 2*y = 3*z + 12. Let i = -34 - -37. What is the first derivative of z - i*t - t + 5*t wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2199 is divided by 425?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from voovqvw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-2))\/((315\/(-30))\/(-21)). Solve -y*v = -64 + 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 54. Which is the third smallest value? (a) -3 (b) g (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 + a + 1. Let t be u(-1). Let w(q) = -6*q**2 + 1. Let j be w(-1). Let n = -4 - j. What is the greatest common divisor of t and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17.6, -0.6, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + 42\/9. Suppose 44 = 2*w - 2*v, 3*w = r*w - 5*v - 32. Calculate the remainder when 50 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/8 - 1)\/((-3)\/6). Let t(v) = -v**2 + 5*v - 22. Let z be t(f). Let c = 15 - z. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = -4*f - 4, 4*t + f = 52. Let w(r) = -131*r + 3. Let s be w(-7). Is (s\/(-32))\/((-3)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6079*5\nAnswer: 30395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 + 3*n**2 - 3*n - 1. Let q(o) = 2*o**3 - 4*o**2 + 2*o + 2. Let s(b) = 4*q(b) + 3*r(b). Let j be s(-5). Let i = -18 - j. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from {f: 5, q: 2, i: 6}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1306 by 389.\nAnswer: -1306\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3151*d + 3330*d - 3578*d - 10314*d to the form o*d + q and give o.\nAnswer: -13713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 12 = -3*v - 2*a, -v + a + 18 = 0. Calculate the greatest common factor of v and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -17079*c**2 - 5*c + 3. Let a be q(-3). Is -4*a\/180 - (-2)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 426*t**4 + t**3 + 17*t + 8. Let y(v) = v**4 + v**3 + v. Let o(p) = b(p) - y(p). Find the second derivative of o(l) wrt l.\nAnswer: 5100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -67 + 36 - (-7 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109? (a) -0.4 (b) -4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.067915 to 3 decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 23 + 17 = 0. Differentiate t - 6*p**3 - 12 + 6 with respect to p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3\/5 (c) -8 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - 23. Let m = r - -93. Which is the smallest value? (a) m (b) 2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 932 by -147477.\nAnswer: -932\/147477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttlmlrp. Give prob of sequence rt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5717512 and -71\/201.\nAnswer: 17152536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -17755, -0.2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6057249 to the power of 1\/2, to the nearest integer?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 5*a - 2*t, 2*a = -0*a + 4*t + 36. Suppose -3*q - 2*w - 3*w + a = 0, 2*w = -3*q + 32. Solve -2*r - 2*r = -q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58b + -20a?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2) + -7 + 105\/20)*10. What is the second biggest value in 0.3, z, -32, 5, 2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.4. Suppose 2*m = -m - 3. Let d = 2.475 + -2.475. What is the closest to d in m, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -8. Calculate the remainder when 50 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5371, 5417, 5465, 5515, 5567?\n\"Answer: l**2 + 43*l + 5327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {b: 1, p: 2, h: 1, j: 1, w: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4671 + 4677. Solve 2*s - v = -5*y, -3*y + 0 + 4 = s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181645397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuywgiuguygu. Give prob of picking 1 y and 1 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 + 0.02. Let x = 29 - 22.3. Let a = x - -2.3. What is the third smallest value in u, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3065*0.06106\nAnswer: 0.20189489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111566)\/(-2452))\/(13\/6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + ((-1)\/72)\/(562850\/62550 + -9)?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5100025 + 12?\nAnswer: 5100041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8875.809 + -7?\nAnswer: -8882.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2\/4 - 588363*q\/2 = 0?\nAnswer: -1176726, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2314844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 170\/41 (c) 2\/9 (d) 1\/6 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 462616 - 10451*z**2 - 462616. Let h(k) = -k. What is h(l(b))?\nAnswer: 10451*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(5) + sqrt(12) - sqrt(3)) + 3 + sqrt(3)*-2)**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 35) + -490 + 503.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 1\/8, -585, 3, 9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6395442s?\nAnswer: 639544.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*p**2 + 30*p**2 + 33*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1700*v - 64648 - 14176 - 42283 = 6393 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 12 + 20. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 3\/2*(6 + 18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 4:02 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g - 30*g + 12*g to the form l*g + z and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 - -7.9. Let j = -7.6 + b. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 3*n - 62 - 79 = 2*n, 0 = -2*c + 5*n + 118 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31059 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33730765 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2 - 197908*c + 197907 = 0?\nAnswer: 1, 197907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289170.4 centimeters to millimeters.\nAnswer: 2891704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, e: 9}. What is prob of picking 3 o?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312, 5, -4, 3 in ascending order.\nAnswer: -4, 3, 5, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100840 (base 9) to base 3.\nAnswer: 2010000221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 7. Let l be z(-9). Let t be (-9)\/(-18) + (-1)\/l. Suppose t = v - 0*v - 5. Put 0, v, 1 in descending order.\nAnswer: v, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 3*b + 13\/70*b**7 + 6\/5*b**6 + 9\/5*b**5 + 0 + 0*b**4 + 1\/112*b**8 + 18*b**2 + 0*b**3. Determine w so that s(w) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 444*s - 184 - 29*s**2 - 221*s + 27*s**2 - 222*s + 53 as c*s**2 + y*s + p and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 891462 and 110.\nAnswer: 4457310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u + 3*x - 15 = 0, 0 = -u - 3*x + 3. Let z = 15 - u. Solve 0 = -0*s - z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -35. Let y = t - -28. Let u = y - -93. Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h - 2. Let v(o) = -4. Let c(z) = 1 + 1 - 1. Let i(t) = -3*c(t) - v(t). Let q(a) = f(a) + 2*i(a). Determine q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*y - 2 = 0, -5*y - 14 = -c - 0*y. Suppose 0 = -c*b - 5*m - 23, m + 17 = -b - 4*m. Let u = -1.9 - -2.1. Is u at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2027 - 1649. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134719501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 17*j + 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602030797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**7\/420 + 133*w**6\/360 + 35*w**5\/72 - 11*w**4\/18 - 1523*w**2. Factor m(s).\nAnswer: s*(s + 1)*(s + 88)*(3*s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14745 is divided by 301?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78214 plus -29558715?\nAnswer: -29480501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 20*z + 99. Let r be l(24). What is the derivative of -j**r + 2 + 3 + 2 + 3*j + 20 wrt j?\nAnswer: -3*j**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*u + 11*u + 8 = 59, 3*u - 11 = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o + 3. Let v = -28 + 35. Is 9 a factor of d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0 - 1\/8*b**4 + 0*b + 1\/120*b**6 - 1\/30*b**5 - 2\/3*b**3 - 2*b**2. What is the least common multiple of v(4) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/75)\/1*5\/(-4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, y: 1}. What is prob of sequence vy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(22\/5)*w**(-27) assuming w is positive.\nAnswer: w**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4842\/181577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 15.8?\nAnswer: -63.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*n + 2713*n - 554*n - 522*n - 4*n**2 - 545*n - 544*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 24*k. Let g(l) = -37*l - 71. What is -a(n) - g(n)?\nAnswer: 13*n + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (152\/(-36) - -4) + 544\/18. Suppose -4*b + 3 = -3*b. Calculate the highest common divisor of f and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 353460.\nAnswer: 3534600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10269689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-483)\/56)\/((-108)\/(-72))*4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 26*o**2 + o - 5. Does 53 divide q(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2\/8 + 122925*n\/8 - 1044429\/4 = 0.\nAnswer: 17, 40958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18\/120)\/((-6)\/5)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/6)\/((-6)\/(-1268)). Let n(w) = 20*w - 320. Let j be n(6). Let g = i + j. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/13 - 56*q**2\/13 - 306*q\/13 - 252\/13.\nAnswer: -2*(q + 1)*(q + 6)*(q + 21)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.047568 - -0.061468. Let q = -7 - b. What is q rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 7:33 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95302 and 0.3.\nAnswer: 28590.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 33. Suppose -11*n - 85 = -6*n. Is n at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/30 and -13\/975606.\nAnswer: 4878030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*b**5 - 2*b**2 + b**5 - b + 2*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w - 15*w - 12078 = -151*w for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*t**4 - 43092*t**2?\nAnswer: 2520*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363*r**5 + 100683*r**4 - 335688*r**3 + 311016*r**2 - 82224*r + 6576 = 0. Calculate r.\nAnswer: 2\/11, 1, 2, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6630 and 10?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(-1 + sqrt(76)))**2.\nAnswer: -2079 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -90*p**2 - 1770*p + 572. Determine q(-20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.3, 0.4, 4, 0.01, -3516?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276272983.\nAnswer: 593, 2152231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 2. Suppose -t = 5*w - 2*t + 35, -2*w - 2*t - 14 = 0. Determine l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + 3 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/24 + 2814*z**2. Let p(x) = -6038*x**2. What is p(o(m))?\nAnswer: -6038*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1348397 and 6.\nAnswer: 8090382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-161)\/(-414))\/(2\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 165*s**2 + 13849*s - 928. What is o(-84)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 132*o**3 - 384*o**2 - 3*o + 3. Let t(w) = 261*w**3 - 766*w**2 - 7*w + 7. Let z(r) = -7*h(r) + 3*t(r). Find the third derivative of z(d) wrt d.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127715888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/16 + 376\/(-64)*2 - (-480)\/52.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.166 - 0.554. What is w rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 39. Put 1, w, -5 in decreasing order.\nAnswer: 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 7*z**2 - 5*z - 1. Let a = 6 + 0. Let f be t(a). Is -2 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210394 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b + 6. Calculate the remainder when y(4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -1\/210*h**7 + 1\/24*h**6 + 1\/6*h**4 + 0*h**3 - 2\/15*h**5 + 0 + 5*h**2 + 0*h. Factor f(y).\nAnswer: -y*(y - 2)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*p - 201 + 75, -3*p + 3 = 0. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77620 is divided by 9333?\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 350682164.9 take away 217?\nAnswer: 350681947.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 4*x + 4. Let v(p) = 35*p**2 + 18*p. Let a(w) = -76*w**2 - 39*w. Let s(l) = -6*a(l) - 13*v(l). Determine 2*s(h) - z(h).\nAnswer: h**2 + 4*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41037, 41050, 41077, 41124, 41197, 41302, 41445, 41632?\nAnswer: 41869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8592 divided by -16?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*k**2 + 15*k**2 + 12*k**2 - 2*k**2 + 4 - 4 + (-3 + 3 - 2*k)*(-3 + 3 - 2*k) - 2*k**2 + 2*k**2 - k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3969 and -0.614?\nAnswer: 1.0109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20508361?\nAnswer: 677, 30293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 + 0 = 0. Let f be (-3 + 9)*1\/k. Suppose -56 = -2*s + b, s + f*b - 52 = -14. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49248768 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**7\/91 + h**6\/15 - 7*h**5\/65 - 2*h**4\/39 + 8*h**3\/39 + 11*h. Determine i so that n(i) = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11317512, 22634986, 33952460, 45269934?\n\"Answer: 11317474*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/4 and (5\/3)\/((-3692)\/(-1326)).\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b**3 + b. Let a be y(1). Let u(q) = q - 5. Let k be u(a). Let l(f) = f**3 - 3*f**2 - 5*f + 7. What are the prime factors of l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/q*q)**(2\/35) assuming q is positive.\nAnswer: q**(-24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108022 + 108950 = -32*v for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 - 1527 = -97*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-7 - 2)) + 1 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 - 3*c**3 + c**3)*(138 + 139 - 8) to the form z*c**2 + v*c + l + s*c**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p + 11. Suppose 15*m + 36 = 9*m. Let a(z) be the first derivative of -6*z - 1 + 5\/2*z**2. Calculate m*h(f) - 11*a(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**5 + 20950*m**4 + 9100860*m**3 + 937654970*m**2 - 946776775*m = 0 for m.\nAnswer: -203, 0, 1, 4595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507, -806, -1105, -1404, -1703?\nAnswer: -2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -z - 11, -3*p = -p + 4*z + 8. Let s be (p\/(0 - 1))\/2. Calculate the highest common factor of s and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105485162 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1. Let n(m) = -3*m + 12. Let f(y) = y**3 + 5*y**2 - y - 6. Let d be f(-5). Give d*n(a) - 12*g(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let r(z) = -z. Let h = -8 + 9. Let y(s) = h*r(s) + 2*k(s). Determine y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/144 and 61\/784.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4323*f**2 + 4321*f**2 + 4319*f**2 - 12964*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6828028, 27312096, 61452214, 109248388, 170700624, 245808928, 334573306, 436993764?\nAnswer: 553070308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 1053, 2472, 4583, 7458, 11169, 15788?\nAnswer: 21387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 9 = -3. Let r be (0\/(-6))\/(3 - i). Solve -2*j - 5*q - 14 = -j, -q - 2 = r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1127587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5340993 and -4.38.\nAnswer: -5340997.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881084709 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 5292*b - 2016897.\nAnswer: -3*(b + 557)*(b + 1207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/6)*s*s*s**(-5))\/(s**(2\/3)\/s*s\/s**(1\/6)))**(2\/179) assuming s is positive.\nAnswer: s**(-16\/537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.26, 0.2, 30, -57 in descending order.\nAnswer: 30, 1, 0.26, 0.2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 339*d**3 + 2 - 6*d**2 + d**4 - 339*d**3 - 2*d to q*d**3 + i*d**4 + u*d**2 + h*d + r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149, 151, 153?\n\"Answer: 2*f + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, e: 1, c: 2, k: 2, x: 5, g: 1}. Give prob of picking 1 e, 1 g, 1 k, and 1 c.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 386904.73 to the nearest 100.\nAnswer: 386900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 75 = 5*k. Suppose 15 = 2*v + 3*w, 3*v + 5*w - 8 = k. Let u be 6\/(v*(-2)\/(-6)). Solve t + 2*t = n - 20, u*n = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29880999*i + 28357583?\nAnswer: 29880999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.017 and 74.\nAnswer: 73.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 3 - (0 - -2). Suppose -4*z - 4*j + 38 = -22, c = -z + 3*j - 1. Suppose -44 = -2*g + g. What is the highest common divisor of g and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66645.\nAnswer: 3, 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.343929 tonnes to kilograms.\nAnswer: 343.929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 - -289.1. Let q be 93 + ((-3)\/3 - 1). Let d be (q\/(-21) + 5)*6\/14. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295 - 882 + 7*q**2 + 297 - 11*q**2 + 297.\nAnswer: -4*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 137, 3\/5, -222\/7, 4\/7 in decreasing order.\nAnswer: 137, 3\/5, 4\/7, 0, -6, -222\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34, 52, 70?\n\"Answer: 18*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 60 = -3*p, 2*p + z = 4*z - 45. Let r = p + 18. Suppose 2*h + 990 + 1210 = r. What is h rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50.9999961 - 51. Round l to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**4 + 26132*h**3 - 78432*h**2 + 16*h + 104576 = 0.\nAnswer: -6536, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 + -333 + 115 + -1 + -46.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 105 = -30*h - h - 4*h + 5*y - 4*y, 0*y = 2*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + ((-30)\/(-5))\/3. Suppose 0 = 10*l - r*l - 8. Differentiate 0*j - l - 8*j - 3*j + 3*j with respect to j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-425*o + 441*o + 2 + 1)*((0 + 0 - o)*(2 + 3 - 4) + 0*o - 3*o + 0*o + 0*o + o + 29*o) to d + k*o + n*o**2 and give k.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 21431 to the nearest 100.\nAnswer: 21400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -551, -440, -303, -134, 73, 324, 625?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(80) + -4 - (sqrt(80) + -1 + ((-2*sqrt(20))\/sqrt(4))**2).\nAnswer: -12*sqrt(5) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 divided by -94?\nAnswer: 145\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let x = d - -4. Which is the second biggest value? (a) -5 (b) x (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oppssnbspn. What is prob of sequence snps?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465?\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*z + 69. Let y = z - 7. Suppose -b - y*m = -6*b + 85, -4*b + 104 = 4*m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 = -2*v, -2*v + 2*a + 361 = 381 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 1, u: 3}. Give prob of sequence uk.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -225. Let i = n + -117. Let r = i - 32. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 699 and 111607.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -21640601.\nAnswer: -3\/21640601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*85\/187 + 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = c + 4*o, 2*o - 4*o = -3*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 6*j + 1. Let i(o) = -6*o**2 + 7*o + 2. Let d(q) = 4*i(q) - 5*n(q). List the prime factors of d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 216.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*l - 18. Let r be ((-10)\/45*l)\/((-8)\/(-6)). Put -5\/2, -12, r, -3 in increasing order.\nAnswer: -12, -3, -5\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*w - 18, -186*n + 188*n + 46 = 14*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmdd when four letters picked without replacement from {c: 10, d: 2, a: 1, m: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/19 - -1\/95. Suppose 0 = -2*a + 5 - 11. Let k be (-1)\/a - 4\/3. Is k less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10650 = -1127*y + 701*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116769248 rounded to 5 decimal places?\nAnswer: 0.11677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -34. Let z be -4*1 - (0 + 0). Is (6\/z)\/(3\/f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/(-4))*1675\/11390.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-10)\/4)\/(-5))\/((-3)\/42). Let d(s) = -7 - 11 + 6 + 7 + 5*s. Calculate d(x).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/79 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155545, 311082, 466617, 622150?\nAnswer: 777681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 11835943 = -11835743 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 390)\/(1*-2). Let d = 337 + a. Let y = d - 103. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*4713.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1509*l - 7696*l - 2478*l - 3904*l + 409*l in the form v + c*l and give c.\nAnswer: -12160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g = 16056 - 20106. Let q(f) = 17*f**2 + 2*f. Let w = -2 - -4. Let k be q(w). Calculate the greatest common divisor of k and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p + 1. Let m(n) = -n + 1. Let i(h) = -2*f(h) + 2*m(h). Let j(o) = 2*o**2 - 39*o. Determine j(i(k)).\nAnswer: 8*k**4 + 78*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*b**5\/7 + 1376*b**4\/7 + 74708*b**3\/7 - 458496*b**2\/7 + 582822*b\/7 + 35424 = 0. What is b?\nAnswer: -123, -112, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + (-88)\/(-12))*-24 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 0 - 12*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let g(n) = n + 4. Let z(o) = 2. Let q(w) = g(w) - 5*z(w). Calculate q(d(t)).\nAnswer: -2*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4207*r + 437477. Give a(-104).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1 - 4\/1. Are w and -163 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 5*p + 15. Let o be s(6). Suppose 55 = -m - o. Let n be (-8)\/m - (-222)\/57. Solve -4*f + 6*f = -5*l - 5, -n*f - 4*l = -8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83515.794 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8*s = -240. Let q be ((-44)\/s - 2)*-2. Which is greater: q or -16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -f - 2*l, -4*f = -l - 12. Suppose -f*d = -d + 8. Put -5, d, 4 in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x - 12. Let o be (30\/5)\/(x - -5). Solve -4*p = -o - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 233*p**2 - 4*p - 3. Let l be d(-1). Suppose k + s = l, 4*k + 2*s = -k + 1182. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -390 (b) -2\/5 (c) 5\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (0 - (7 + -3)). Let p(w) = -2 + 7 - 2*w + 5*w**2 + n + 0 - w**3. What is p(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(208)\/sqrt(4))**2)*4 + -5*(sqrt(325) - (1 + sqrt(325))).\nAnswer: 4*sqrt(13) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1122 + 4?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**3 + 3*v**2 - 78*v - 245. What is d(-3)?\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:56 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -107. Let i(l) = l**3 + 5*l**2 - 7*l + 1. Suppose -2*j - 5 - 7 = 0. Let w be i(j). Calculate the greatest common divisor of d and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37\/4 - -11\/12. Find the common denominator of s and -20\/197.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:43 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 10*m + 7. Is r(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(3600\/(-459))*3*(-10)\/(-45)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122893*a**3 - 57797*a**3 + 66120*a**3.\nAnswer: 131216*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a + 261 + 290 - 835 + 284.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a factor of 8159844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 165, 319, 471, 621, 769?\n\"Answer: -g**2 + 157*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -33*i - 204162. Is -4*6\/(-8)*i\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -101262\nAnswer: 5\/16877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22106 - -14?\nAnswer: 22123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b - 74*b - 60 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a - 5*m = -7, 2*m + 3 = -5*a. Let h be (-224)\/(-6) + a\/3. Suppose 25 = 2*p - h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-3)\/15*(-16)\/64*8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55434768 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29531550 by 6290.\nAnswer: -4695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 870 = 81. Let a = 1521 + -33455\/22. What is the common denominator of a and t\/(-60) + 5\/(-25)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52484 is divided by 207?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 78, -1393 in decreasing order.\nAnswer: 78, -3, -4, -1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + 2*l + 3*l)*(-11*l - 16*l - 76 + 26*l) in the form g*l**2 + r*l + o and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 + 17. Let m be o(4). Let p(j) = 8*j - 5. Let w be p(7). Let k = w - m. Does 41 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 293 + 4*d - 529.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b**5 + 0*b**5 + 3*b**5 + 8*b**5 - 28*b**2 wrt b.\nAnswer: 1440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6318990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(5\/(-1)))\/((-8)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 4, -36, 67, 1 in ascending order.\nAnswer: -36, -5, 0, 1, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*q = -186*q - 6688 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1032 + 13414\/13. What is the second smallest value in -4\/3, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -2 - 3)\/(4\/232). Suppose k - 22 = 3*z + 4*m, -3*z + 21 = -m. Solve -6 = 2*r - 4*d, -4*r = -r - 5*d + z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 45. Calculate the least common multiple of 50 and u.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80217624 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5138 divided by 92?\nAnswer: 2569\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7*d = -1, -91 = y + 3*d - 102 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -23. Is 315\/(-18)*56\/f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111834.46 take away 1654601?\nAnswer: -1766435.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4966714091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*r**3 + 4*r**2 - 64*r**3 - 2*r - 3*r**4 - 60*r**3 - 2 as x*r**4 + j*r + k + m*r**2 + i*r**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (-3 - -18)*(-2)\/(-3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3528)\/(-26754) - (-3)\/(21\/(-2)). What is the closest to 0 in -136, k, 0.2, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 85 = 15*z. Solve -9 = -4*m + 3*v, z*v + 7 = -5*m - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 67. Let u(p) = -p + 9*p**2 + 3*p - p + 5. Let r(v) = 14*v**2 + 2*v + 8. What is i*r(k) - 8*u(k)?\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -641795 bigger than 1.696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 31*a**3 - 10*a**2 + 18. Let r = 324 + -319. Is x(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -26. Let j be f\/(-72) + 2\/9. Is j < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18800362.\nAnswer: 2, 7, 1342883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7985086 to the power of 1\/2, to the nearest integer?\nAnswer: 2826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44b499 (base 12) to base 10\nAnswer: -1097973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127233*f**3 - f**2 - 24*f + 79594.\nAnswer: -763398*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:20 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 3:45 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5955640?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 19, 31, 43?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.8 times -6\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113593?\nAnswer: 29, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-5\/4)*(k**(-1\/2)\/k)\/k)\/(k**3*k*((k**8\/k)\/k)\/k))**(7\/6))**45 assuming k is positive.\nAnswer: k**(-3885\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1919 - 8201 - 6666 - 3083)*(-4*d**3 + d**4 + 4*d**3) to the form k*d**4 + r*d + v + y*d**2 + a*d**3 and give k.\nAnswer: -16031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = -4, 0 = 4*n - o - 30. Let m be (-3)\/((-6)\/10) - 1. Solve n = 4*a - 3*r - m, r + 4 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-386484)\/(-38520) - (-20)\/(-2)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6181 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26942793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 7*k**2 - 4*k - 9. Let t be z(6). Suppose -3*h + 3 = t*j, 10*j - 4*h = 13*j - 4. Solve j = -5*v + 6*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**3 + 3*o**3 - 28*o + 31*o wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w + 130. Suppose 0 = v + q + q - 2, -4*v + w = -q. Suppose v*f = -5 + 311. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2082 + 1671. Suppose f = -u + 5*f + 3777, u + 2*f = n. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 13*p + 10. Let n be o(6). Let g(q) = -3*q**2 + 6*q. Let d(t) = 5*t**2 - 11*t. Give n*d(m) + 7*g(m).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3532538 to the nearest integer?\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/48 - c**3\/12 + 39*c. Factor y(t).\nAnswer: t*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 157 = -154. Is -1\/83 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29143786 and 162722?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 1\/5*k**2 - 1\/5*k**3 + 1\/10*k**4 - 2*k - 1\/50*k**5 + 1. Let g(f) be the first derivative of z(f). Factor g(t).\nAnswer: -2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-j - 3*j + j)*(1 + 5 - 4) - 2 + 0 - 13*j + 15*j)*(-28 - 27 + 2 + 5) to the form q + m*j and give q.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 - f**2)*(3 - 2 + 0) + f**2 + 5*f**2 - 3*f**2 + (-f**2 + 0*f**2 - f**2)*(7 - 5 - 4).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709 at least 2709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (380\/(-17160)*-11 - 3\/18)*-1.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005682 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281 - 2*n - 281.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/((-2)\/(-10)). Suppose 0 = s*p + 2*o + 12, 3*p - 17 = 4*o - 4. Is -3 + 0 + (-50)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 252, 536, 880, 1314, 1868?\n\"Answer: 5*z**3 + 249*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*h - 1 = -2*z, 5*z - 16 = -4*h. Suppose m + 46 = -4*v - m, -z*v = -4*m + 64. Let s = v + 110. Is 42 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 26 = -4*h, 0 = 2*w - 0*h - 2*h - 16. Let q(t) = t - 1. Let y be q(w). Let o = 3 - -3. Calculate the greatest common divisor of y and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555344517.\nAnswer: 1555344517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + -0.1. Let y = b - -0.9. What is the second biggest value in 2, y, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = -9. Let t = u + -5. Let n = 35 + -3. What is the greatest common factor of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 - -6. Which is the closest to -3\/4? (a) -1\/8 (b) 2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) 14 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-1)\/sqrt(4))\/(sqrt(12) + (sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(48)*3)))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*i - 76638 = 6*i + 166372. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1342181239\/4 at most as big as -335545310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 + 476 = 2*w. List the prime factors of w.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-1))\/(6\/4). Suppose -10*t - 8 = -28. Solve -4*i - t = -c*n, -5*n + 12 + 2 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -224*j - 49. Let x = -124 - -173. Let a(k) = 14*k + 3. Let d(h) = x*a(h) + 3*c(h). Let u(l) = l. Give u(d(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d**3*(d*d\/(d\/(d*d\/((d**(2\/5)*d)\/d*d))))**(-24)*(d*d\/(d*d*d*d\/(d*(d**(-2\/7)*d)\/d)))**15*(d**0*d)**(-16) assuming d is positive.\nAnswer: d**(-7492\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 56667*k**3\/2 + 5*k**2\/2 - 6*k. Let j be c(-5). Round j to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 287447 and 117298.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - u + 60. Let o be q(0). Suppose -7*v = -o + 39. Solve v*j + j + 2 = -y, -3*j - 9 = -3*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.3319227 to 1 dp.\nAnswer: 122.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2427.5 + -2427.5. Which is the closest to 0? (a) x (b) 4\/307 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1 - 7 + o**2 - o - 4 + 11. Let q(c) = -3*c**2 + 5*c - 1. Let y = 38 + -43. Let s(z) = y*v(z) - q(z). What is the derivative of s(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + -4 + 1 + 1 + sqrt(704) + -3*((sqrt(704) - (1 + sqrt(704))) + 0 + sqrt(704) + sqrt(704)))*1)**2 + 5)*2.\nAnswer: 640*sqrt(11) + 35242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 7875*t - 15751*t + 7876*t. Let z = -8 - -11. Let j(o) = 3. Let x(k) = k - 5. Let s(c) = z*x(c) + 5*j(c). What is u(s(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:48 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*q + 1 - 19, -2*c + 3*q = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 876 times -83170\nAnswer: -72856920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 182*x - 547. Give j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1872214 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 23*c - 765772 = -149*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8753595 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2491 - -2496. Solve 8*j - 12*j - 4*n = 8, -12 = q*j + 4*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6309 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.5702 weeks to milliseconds.\nAnswer: 34213656960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qllj when four letters picked without replacement from {q: 1, l: 5, w: 1, h: 2, i: 4, j: 2}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/5538 and 29\/5538?\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70038 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4.2, -1, -0.5, 16\/375?\nAnswer: 16\/375","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(2\/9))\/a)\/a**(2\/7))**(-7\/2))**(-2\/43) assuming a is positive.\nAnswer: a**(-32\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) -23 (c) 1 (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11641, 2\/13, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -10*b - 47. List the prime factors of 2023\/b + -1 - (-26)\/117.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2. Let a(i) = -289137*i + 12. Determine a(r(w)).\nAnswer: 289137*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, z: 9, i: 8}. Give prob of picking 1 v and 1 i.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 5. Let i be u(4). Let y = 21 + i. Suppose 2*w - y = 14. What is the greatest common divisor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:00 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -3, 2\/21, 58\/9, 5 in decreasing order.\nAnswer: 58\/9, 5, 2\/21, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 0.1, -3, 59.74, 1.07, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29770734 or -29770735?\nAnswer: -29770734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*l**3*w**2 + 983*l*w**2 - 2*w**2 wrt l.\nAnswer: 300*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 7. Does 24 divide (-44)\/q + (-4)\/6 - -141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*r + 97*r - 3*r)*((2 - 2 - 2*r**3)*(-30 + 18 + 15) - 2*r**3 + 3*r**3 + r**3) to the form z*r**3 + b*r + i + g*r**4 + o*r**2 and give g.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = -4*r, 5*r + 0 + 5 = 0. Let m = -1 + l. Let y = 392 - 392. Sort m, -2, y in descending order.\nAnswer: y, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5407888 and 992?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106921 - 71607. List the prime factors of z.\nAnswer: 2, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1155, 6, -9\/10, 4, -3\/8?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 359.\nAnswer: -13\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 8*i - 53130 + 12*i**2 + 53120 - 8*i.\nAnswer: 17*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 = -7. Suppose 5*g - 396 = -12*g - 115*g. Solve 5*n - 4*q + g = -w*q, 0 = 4*n + q + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2)**2)**(-48)\/((v\/(v*(v\/(v*v\/(v*v**5*v)))\/v))\/(v\/((v\/v**(-5\/4)*v)\/v)))**(1\/6) assuming v is positive.\nAnswer: v**(-2299\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 b when three letters picked without replacement from nnnbbbpp.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2*-5)**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 42*p**2 + p + 62. Let l be u(-42). Sort -3, l, -2, 0.\nAnswer: -3, -2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 14*d**2 + 11)*(0*d + 3*d - 5*d).\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2170504 is divided by 2170147?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 4*x - 197 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 491, 1599, 3749, 7289?\nAnswer: 12567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21022769450.64 and -1.8.\nAnswer: 21022769448.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4741 - -1263684.\nAnswer: 1258943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/2)\/(7\/(-14)). Let f(q) = q - 1. Let v be f(k). Let p = 27 + v. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let f(b) = 8294*b + 116. Let y(r) = 4148*r + 70. Let g(u) = -3*f(u) + 5*y(u). Give g(q(n)).\nAnswer: -8284*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 675.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/56 + 99\/693?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3 + 33*m**2\/2 - 15*m - 4. Let f(q) = 17*q - 98. What is -4*f(d) - 11*t(d)?\nAnswer: -2*d + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*a + 33. What is the highest common divisor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2401 and 22\/474369?\nAnswer: 3320583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400303?\nAnswer: 1400303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = -25. Suppose -4218 = 456*a + 1254. Sort n, -2, a in descending order.\nAnswer: -2, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 17) + -39 - -34?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 1. Let x(b) = -b**3 + b**2 + b - 7. Suppose 3 = 4*y + 3*n - 1, 0 = n. Let g(m) = y*x(m) + 4*i(m). What are the prime factors of g(-4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 17\/60*o**5 - 50*o**2 - 1\/120*o**6 + 0 - 2\/3*o**4 + 0*o + 13\/6*o**3. Is i(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1dd90c8 (base 14) to base 7\nAnswer: 241612341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**7\/21 - 847*i**6\/240 - 3317*i**5\/120 - 235*i**4\/6 - 23*i**3 - 8*i**2 - 6*i - 1. Determine m, given that g(m) = 0.\nAnswer: -3, -2\/5, -1\/4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -1. Let h be (4 + 0)\/(j\/(-1)). Factor -4*f**2 + 6 + 2*f**2 + 4*f - 4 + 4*f**h.\nAnswer: 2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b = 105 + 343 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 283*q - 1219 wrt q?\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 688981433 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9022601 to the nearest integer?\nAnswer: 3004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62578\/129 at least as big as 484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1820 and 56446?\nAnswer: 3951220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2198 - 538*a - 322 + 1764 wrt a.\nAnswer: -538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 5 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -68320*b - 273283. Give k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 - (13 + (2 - 7) + 15 + -15)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/24858 and 61\/30.\nAnswer: 124290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.687 + 3.387. What is the closest to 2 in 4, a, -2, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103.427 - 3740\nAnswer: -3843.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 8.73 (c) 2\/21 (d) -2\/11 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277945 is divided by 1057.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*r - 36*r + 138*r - 35*r - 37*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 - -281. Suppose 2*r - 4*o = o + 67, -5*r = 3*o - z. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 9*x - 1. Let c(w) = w**3 + 13*w**2 - 12*w - 5. Let d be c(-14). Let b = d + 40. What is the remainder when i(5) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 14*z + 21. Let a be o(-8). Solve r - 5*h - 23 = 0, 2*r + 3*h = a*r - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.022? (a) -0.1 (b) 2\/5 (c) 3 (d) 19 (e) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -q - 25*o + 29*o, 5*o = 0 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.24 + -0.26. Let f = p - -18. What is the nearest to 2\/7 in f, -1\/3, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450085.6 times -31\nAnswer: -13952653.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(5\/5 - 26\/24). Is z smaller than -2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8096 - 2.8096. Let i = 0 - -4. Sort u, i, 1, 1\/15 in increasing order.\nAnswer: u, 1\/15, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*u)*(-37*u - 58*u**3 + 37*u) - 7*u**4 - 133 + 133.\nAnswer: -239*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208) - (-3 + -1 + sqrt(208)))**2) + 5 + -5*((0 + sqrt(1300))*-3 - sqrt(1300))**2.\nAnswer: -104011 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717163003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31415 + -1?\nAnswer: 31414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1153, -4813, -10891, -19363, -30205, -43393?\n\"Answer: 4*a**3 - 1233*a**2 + 11*a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 0 - (sqrt(605) + 4) - (sqrt(35) - ((sqrt(35) - sqrt(35)*-1*3) + sqrt(35)))\/(1*sqrt(28)\/sqrt(4)).\nAnswer: -4*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 78 = n - 107, 2*n = 2*t - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 13736323.\nAnswer: 2\/13736323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 168\/5 or 33?\nAnswer: 168\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**7\/420 - l**6\/60 - l**5\/24 - l**4\/24 - 17*l**2. Factor g(u).\nAnswer: -u*(u + 1)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/5)\/z)**(-47)*z**(-13)\/(z\/((z\/z**(-3\/14))\/z*z)))**(-19) assuming z is positive.\nAnswer: z**(-83011\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 45)*-1 - 2. Suppose 4*x + b = 6*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(1\/7))*((v*v**(3\/5))\/v)\/v)**(2\/3) assuming v is positive.\nAnswer: v**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**5 - 2*h**4 + 964618*h**3 + 9*h**2 - 38948349*h.\nAnswer: -300*h**2 - 48*h + 5787708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -15. Suppose -w - 5*z = -10, 3*w - 3*z = -w - v. Suppose w*u = u - 61. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 211 (c) -7\/460\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3425 - 3419. Sort -4, -1, m in descending order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703195 = -5*d + 3781080. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 6*r**2 + 467 - 467 + 2*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*b - 20 + 71 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202, -774, -1726, -3058, -4770, -6862?\n\"Answer: -190*a**2 - 2*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 354\/(-54) + 7 - 4\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900 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: Solve -11 = -k - 4*a, -4*k + 0*a = -3*a + 32 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198914450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2. Let h = 22 + -13. Let s(r) = -5*r + h - 9. Give s(t(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/(-658))\/((-10)\/126)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -16, -7, 6, 23, 44?\n\"Answer: 2*w**2 - w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -7. Put 3, b, -1.4 in decreasing order.\nAnswer: 3, -1.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111\/8 + 3\/8*b**2 - 57\/4*b = 0.\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1067549841, -2135099683, -3202649525?\nAnswer: -4270199367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(72) - sqrt(11))*-5)**2.\nAnswer: 1100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 257.3 + -241. Let j = 0.3 - a. Let g = j + 9. Is -0.1 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 59, 96, 149, 224?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26793 at least as big as -26793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*(-6)\/21*399\/(-57)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14843485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - (-30 + 29)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 + 21*o**2 - 29*o**2. Let s(h) = -4 + 13*h - 8 + 13 + 0. What is s(j(g))?\nAnswer: -26*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 4067122?\nAnswer: 4067120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 342\/21479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.024 - 80.024. Let r = -83 - j. Which is the closest to 1? (a) -0.4 (b) 8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/((-2432)\/(-192))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 911841 and 4098?\nAnswer: 1245574806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 1. Let b(a) = a**2 + 8*a + 4. Suppose 3*h = -4*j - 2 - 0, 5*h - 2*j = 40. What is h*o(n) - b(n)?\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 769\/10178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 95*o**2 + 2*o**4 + 91*o**2 to n*o**4 + k + v*o + c*o**2 + p*o**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22711 - 10604. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -354\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 16*w + 33*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) + (680\/28 - -3). Which is smaller: r or 28?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 7*p**5\/30 + 2*p**4\/3 + 11*p**3\/18 + p**2\/6 + 2. Factor x(l).\nAnswer: l*(l + 1)**2*(7*l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - j + 9 = -4*j, -5*j + 10 = 0. Suppose -5*z = u + 7, 4*u = 3*u + 5*z - 37. Let w = -37 - u. Is r less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -308*r + 326*r + 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**4\/v*v)*v*v\/v**(-2))\/((v**(1\/5)\/v)\/(v*v\/(v\/v**4)*v*v)))**(-2\/39))**6 assuming v is positive.\nAnswer: v**(-176\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1768104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2125 or 2093?\nAnswer: 2125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 876934800 divided by -687792\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 0.093, -0.04, 3\/7 in decreasing order.\nAnswer: 39, 3\/7, 0.093, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1304496, -2608995, -3913494?\nAnswer: -5217993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 1, -5\/6 in increasing order.\nAnswer: -6, -5\/6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1921040 or -1921037?\nAnswer: -1921040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.68 - 0.08. Let n = 3.6 - p. Which is the nearest to n? (a) 5 (b) 4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let y(o) = -5*o**2 - 4*o. Let z = -16 + 9. Let u(q) = 7*q + 6*q**2 + 8*q**2 - 5*q**2. Let m(v) = z*y(v) - 4*u(v). Give m(h(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46625072 is divided by 15541688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 1698?\nAnswer: 169d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*m - 5*m + 19*m)*(8 + 5 - 5)*(-4*m + 7*m + m).\nAnswer: 928*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b. Let a(x) = -3*x**2 + 6*x. Let h(t) = t**2 - t. Let r(v) = a(v) + 6*h(v). Calculate s(r(j)).\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 3}. What is prob of sequence baba?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b + 3*i = 8, -2*b - 5*i + 12 = 0. Put 3, -2, b in descending order.\nAnswer: 3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 23*y - 9. Let n be v(6). Suppose -48 = -133*s + n*s. Let i(z) = -z**3 + 13*z**2 - 13*z + 7. What is i(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143847, 287741, 431635?\nAnswer: 575529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 37. Suppose 4*h + 4 = 0, 4*w + h + 3*h - 16 = z. Suppose w*x - 7 - 4 = -m, 5*x = -20. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3626)\/111 - -34)*(48\/(-9))\/4.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4142?\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -36*o. Let l(i) = -93*i**2 - 21*i + 21. Let p(r) = 9*r**2 + 2*r - 2. Let n(w) = 6*l(w) + 63*p(w). Give g(n(q)).\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = 1. What is the nearest to l in 2\/5, 3, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-48))\/((-60)\/54).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 = 5*j + 3*k, 2*j + 4*k = -2*j + 356. Suppose -87*o = -j*o - 14. Is o at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**2 + 0*x**6 + 2*x**6 - 3*x**6 + 4*x**2 wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from vlftlfftlvelfl.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151 + -90. Let b = r + -61.51. Let o = b - -0.21. Is 3 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -11 - 9. Let o(z) = 3*z**3 + 2*z**2 - 7*z. Let w(b) = -b**3 + b**2 + b - 1. Let g(u) = f*w(u) + o(u). What is g(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from axmop.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(88)*2)\/((2*sqrt(40))\/sqrt(5)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-2)*(-4 - (12 + 956\/(-60)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364985 to the power of 1\/2, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkhk when four letters picked without replacement from eaeeekhhvkaekeh?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1031592 by 106.\nAnswer: -9732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 169803 (base 13) in base 16?\nAnswer: 89a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/7 + 606*j**3\/7 - 60736*j**2\/7 + 1991520*j\/7 + 2052864\/7 = 0.\nAnswer: -1, 88, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50057 by 73.\nAnswer: -50057\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 32. Suppose -6*v + v + x = 0. Suppose 618 = v*k - 3*f, -6*k + 771 = -k - 3*f. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728303 is divided by 94?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 2*a**4 - 2*a**4 + 12 - 12 + 2*a**4 + (2*a**3 - 2*a**3 - a**3)*(0*a + 22*a - 4*a).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -5 (b) 2.3 (c) -5\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-58)\/56) + 28\/(-98). Let n = 53\/12 - m. Which is greater: -0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/2)\/((5 - 4)*-1). Let d(h) = 3*h**2 + 617 - 617 + 3*h**u. Let x(j) = 4*j**2. Determine x(d(a)).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1149\/766*(-1)\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.75 and -2130.\nAnswer: -12247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 91*g**4\/24 + 2*g**3 + 14*g**2. Is r(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -11*r**6\/180 + 7*r**4\/2 - r**2 - 1. Let d(s) be the second derivative of f(s). Let p(n) = -3*n**2. Give p(d(y)).\nAnswer: -5808*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68264983 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -8. Let p = 1.7 - 2. What is the closest to -2\/5 in p, z, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(44\/(-110)*(-30)\/72). Calculate the greatest common factor of z and 4040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - 5*k + (-3 + 4 + 1)*(2*k + 3*k - 3*k))*(-4 - 1 + 3)*(2*k + 5*k - 5*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -1, -331\/2717, -1\/3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243170729 + -1435?\nAnswer: 243169294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/310*((-20)\/(-9))\/4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01165 and 0.017.\nAnswer: -0.00019805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71614889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50350.\nAnswer: 2, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/3 - (66\/18)\/11. What is the derivative of 15*p**2 + 4 + 14*p**2 - 10*p**y wrt p?\nAnswer: 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 20 = f. Let s be (50\/f)\/((-1)\/456). What is s rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4)*(-2)\/(-5). Let i = -71 - -76. Suppose 2*n = -4*v + 20, -v = -5*v + i*n + 20. Put y, v, 0.07 in ascending order.\nAnswer: y, 0.07, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 810*j**2 + 14*j + 23. Let n be b(-5). What is n rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*l + 21 = -19, 0 = 204*x - 203*x - 2*l + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024 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: Solve 91*y + 20 = 101*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -3 + ((-711)\/99)\/(-1). Sort d, 1\/6, 0.5, -321 in descending order.\nAnswer: 0.5, d, 1\/6, -321","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/(20\/(-60)) - 2. Solve j = -312*c + 321*c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/19 or -1194?\nAnswer: -1194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3476634 and 15582.\nAnswer: 1289831214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 9*y - 434 - 421 - 231.\nAnswer: -9*y - 1164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 51744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*t**3 - 30300*t**2 + 1547092*t - 110352 = 0.\nAnswer: 1\/14, 57, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14587957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -l - 3*l + 564, 445 = 4*t - 3*l. Let m be ((-273)\/104)\/((-4)\/32) + -7. Calculate the greatest common divisor of m and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from ttvtvtttttttttvtvvt?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -24474*f**2. Let o(w) = -101*w. Calculate o(y(z)).\nAnswer: 2471874*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68457048 + -5266?\nAnswer: 68451782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 115 = -2*d, -2*d = -5*i - d + 201. What is the third derivative of -i*u**2 + 4 + 46*u**2 + 2 + 51*u**3 wrt u?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -18 + 148. Let z be 2*(4\/i)\/(12\/(-75)). Let n(j) = 9*j**2 - 5*j + 5. Let p(u) = -14*u**2 + 8*u - 8. What is z*p(v) + 8*n(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18147089369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 - 10 = 0. Suppose -2*n - h*n + 116 = 0. Let x = n - 19. What is the highest common factor of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 n, and 1 t when three letters picked without replacement from nxttvzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218 + 223. Suppose 0 = -n*h - 30*h + 280. Which is greater: h or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(-3)\/((-12)\/(-4)). Is 11 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283809 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.99 + -0.01. Suppose 40*p - 35*p = 30. Let f(r) = -r**3 + 5*r**2 + 4*r + 8. Let o be f(p). Sort g, 2\/29, o.\nAnswer: o, g, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3825 - 3824. Let h be ((-1)\/76)\/(4\/24). Which is the biggest value? (a) 0 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/4087734 and -73\/1362578.\nAnswer: 4087734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/18)\/(130\/(-15))*-6. What is p in 24\/13*p**2 - 18\/13*p - 10\/13*p**3 + r = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 427 = 21*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 c when three letters picked without replacement from {o: 4, c: 7, h: 1, f: 1, i: 5, m: 1}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Suppose x*g + 5 = 37. What is the lowest common multiple of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52\/191 + -642\/955. What is the second biggest value in -1\/2, 645, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:13 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/5 - (-2)\/(-5). Let s = 0.91 + -0.81. Which is the second smallest value? (a) s (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-40149.7\nAnswer: -4014.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249aa4 (base 12) to base 10.\nAnswer: -597724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = z + 56. Let t(s) be the third derivative of -s**5\/60 - 5*s**4\/12 - 3*s**3\/2 + 172*s**2. Determine t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650962053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 523356 + 388344 = 0. What is t rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y**3 - 2*y**2 + 1. Calculate z(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3198499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (-3*4\/24)\/((-4)\/(-24)). Factor -2\/7*d - 3\/7 + 1\/7*d**g.\nAnswer: (d - 3)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -28*w. Let r(z) = -207*z**2 + 3*z. Calculate r(h(k)).\nAnswer: -162288*k**2 - 84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -3848\nAnswer: -5\/962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 a factor of 495777296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -7*d**4\/24 - d**3\/3 - d**2. Let z(y) = y**3 + 81*y**2 - 166*y + 17. What is the remainder when h(-5) is divided by z(-83)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 778, 5 in decreasing order.\nAnswer: 778, 5, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d + 12. Let a(j) be the second derivative of j**4\/12 + 5*j**3\/3 + j**2\/2 + 6105*j. Determine a(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3821145 is divided by 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-3)\/(-6)*(65 + -3). What is the tens digit of 5611\/l - (3 - 1)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.532 - 2.532. Let x = 0.21 - 0.21. Which is the closest to x? (a) 0 (b) -1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 38.\nAnswer: -53\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 55 = -0*o + 5*x, 17*x - 390 = -3*o - 12*x + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/11)*x**(-2\/3))\/(x**2)**38 assuming x is positive.\nAnswer: x**(-2521\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 + 176 - 58 = -5*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 42 = -2. Let i = -84 + 87. Suppose -d = m - 4*g, 2*g + 1 = i*m - 5. Sort m, -3, 2 in decreasing order.\nAnswer: m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(153) - -6*sqrt(68)) + sqrt(187)\/(sqrt(176) - (sqrt(176)*-3 + sqrt(176) - sqrt(176))).\nAnswer: 2 + 289*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 49*l - 1024. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 275 in 2837, -4, 1\/9, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.4. Let l = w - -0.1. Suppose -2*s + 11 = 2*q + 37, 5*s + 3*q + 59 = 0. Which is bigger: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63811.28 microseconds to nanoseconds.\nAnswer: 63811280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/8 + 5*h**4\/8 + 10*h**3 - 100*h**2 - 6*h - 3. Factor s(a).\nAnswer: -5*(a - 4)**2*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76735896 a multiple of 2439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/11 + 1092*o**3\/11 + 136638*o**2\/11 + 133372*o\/11 - 271104\/11 = 0. Calculate o.\nAnswer: -353, -192, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 451704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(1216))**2.\nAnswer: -32*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 2, z: 2}. What is prob of picking 2 r and 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64569532 to the power of 1\/2, to the nearest integer?\nAnswer: 8036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1679656 divided by -419914?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:45 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-4)\/(-3))\/((-26)\/(-39)). Let h(w) = w**3 + 3*w**2 + 2*w - 2. Let c(k) = k**3 + 4*k**2 + 3*k - 3. Calculate u*c(o) - 3*h(o).\nAnswer: -o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5389 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 2*w**3 - w**2.\nAnswer: -w**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331612 (base 8) to base 16.\nAnswer: -1b38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 378*u + 64936. Give x(109).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 952 + -662. Which is bigger: 289 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092777029 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 + -164. Let g be 69 - o - (4 - -1). What is the highest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4423, -4428, -4433, -4438?\n\"Answer: -5*w - 4418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-5) - (1094\/(-10) + 8). Let q = 105 - z. Solve -q*b = -7*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15313, -123045, -415475, -984955, -1923837, -3324473, -5279215?\nAnswer: -7880415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -p, 4*i - 10 = 2*p - 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l - 148. Let a be i(20). Suppose 0 = 3*d + 2*u - 151, -5*d + 6*d = u + a. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5329 + 15 = -583*c + 2573 + 7271 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26749 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w = -272. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llvl when four letters picked without replacement from {v: 4, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 6:33 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d**2 + 6*d + 4. Let i(w) = w**2 - 13*w + 1. Let c(k) = -18*k**2 + 73*k - 9. Let j(u) = -c(u) - 6*i(u). Determine -6*j(m) + 5*s(m).\nAnswer: -7*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.6999997. Round v to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-1)\/1 - 190751\/61. Let u = f - -3123. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.2 and -0.458.\nAnswer: -6.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.2273326?\nAnswer: 0.09093304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17 - 25) + (0 - -3). Which is the closest to 2\/3? (a) -8 (b) 3 (c) i (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 270537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**5\/20 + h**4\/8 + h**3\/12 - h**2\/4 + 2. Suppose r(n) = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31443488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-540)*(14 - (-99)\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25938, -27161, -30502, -37023, -47786?\nAnswer: -63853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 256 (base 16) to base 15\nAnswer: 29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, 0 in decreasing order.\nAnswer: 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 41*o**2 - 2252*o - 161. Give c(55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47362 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 160575211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89 - -52) + 100 + -59 - (0 + -1 + -8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153003?\nAnswer: 3, 51001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5702 or -5709?\nAnswer: -5709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(255)\/(3*sqrt(5) - sqrt(5)) - (sqrt(51) - sqrt(204)*-2))\/(4*(sqrt(108) + sqrt(108)*2)*-3))**2.\nAnswer: 5*sqrt(17)\/24 + 57617\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000797 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.462573 + -2.3938. What is k rounded to 3 decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*b**2*n + 1566*b**2 with respect to n.\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = s - 65, -504 + 103 = -5*s + a. Let k = 47 + s. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1234 and 5212.86.\nAnswer: 5212.7366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11016864 or 11016863?\nAnswer: 11016863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pii when three letters picked without replacement from epihqehdi?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1283810 and 6932574.\nAnswer: 34662870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66869963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 10*d + 16. Let z(b) = -3*b + 71 + 0*b - 31 - 35. Calculate 2*s(o) - 7*z(o).\nAnswer: -2*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.9 and 0.2.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 3:28 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 3:05 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4 - 102*l**3 + 1530*l**2 - 5642*l - 18252 = 0?\nAnswer: -2, 13, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -409980 + 1.196?\nAnswer: -409978.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(2000)*-4)\/((sqrt(150)\/(-3*sqrt(3)))\/sqrt(5)).\nAnswer: 1800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*l - 356. Suppose -2*m - 23 = l. Let b = 105 + m. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + p + 1. Let h(t) = -t**3 + 9*t**2 - 7*t - 8. Let k be h(8). Suppose w + 4*w + 1045 = k. Let j be 40\/22 + (-38)\/w. Determine c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 12}. What is prob of sequence ddwd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*r + 10, 8 = 3*r - 4. Let z(p) be the first derivative of p**3 + 1\/2*p + 1\/10*p**5 + p**2 + 1\/2*p**4 + h. Find v such that z(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -18. Let i = f + -4. Suppose -2*u + i = u - o, -4*u + 16 = -3*o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/(513\/102231))\/(2\/(-18)) a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66582857 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(5 - 2) + 2. Let n = 1 - o. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.389 - -0.189. Suppose -h + 4*h + 6 = -3*f, f - 5*h + 8 = 0. Sort d, 9, f in decreasing order.\nAnswer: 9, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 46\/(-14) + (-20)\/(-70))\/((-1)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/9, -2\/3, 14, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3527595009?\nAnswer: 3, 6779, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 86 - 62*o - 23*o - 24*o.\nAnswer: -105*o - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:14 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdj when four letters picked without replacement from {r: 8, j: 4, h: 1, d: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 c when four letters picked without replacement from {f: 3, t: 5, c: 7, z: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 163?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) -0.3 (b) 0.5 (c) 3\/2 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -5*w - 5*c + 89, -4*c + 16 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 - 4*w**4 + 6*w**4 + (-2*w - w + 4*w)*(-4*w**3 - 2*w**3 + 4*w**3) - 2*w - 2*w**4 - 2*w + 7*w.\nAnswer: -7*w**4 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91241 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 17*x - 11*x + 7*x**4 + 77*x - 29*x - x**4 to n*x + q + a*x**4 + y*x**3 + t*x**2 and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12501 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b823 - 0?\nAnswer: 2b823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**3 - 9*p**3 - 17*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.226484 take away 0.05?\nAnswer: -0.276484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**2 + 2*p + 5*p**2 - p**2. What is h(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 255?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 591 and 35854?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 20 - (2 + -2 - 46)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -0.6 (b) 26 (c) 2\/3 (d) 57 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (95\/20)\/1 - (-45)\/(-9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u + 46 + 3*u - 46 + 9*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -277407.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14329363?\nAnswer: 19, 43, 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t + 181. Let u be p(-14). Suppose 3416 = u*k + k. List the prime factors of k.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 179782310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxcxccccxcxcxx. What is prob of sequence xxc?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/21 of a week in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -367*f + 18. Let u be n(0). Solve -12*t - u = -21*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-99))\/(3\/72*-4))\/(-4).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 46*z**2 - 487*z - 23. What is the thousands digit of d(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**3\/2 + 34*n - 206. Let m(t) be the first derivative of i(t). Let d(r) = 3*r**2. Determine m(d(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.032 - -82.968. Let s = r + -78. Suppose -3 = -4*n - 7. Which is the third biggest value? (a) n (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 6*q - 3. Let n be z(-5). Let v(j) = -j**2 - 9*j + 24. Let s be v(-11). Suppose s = n*c - c. Solve 0 = c*g + b + 2, b - 4 + 12 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20188 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and ((-1392)\/96)\/((-3)\/90)?\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -1703\/12. Find the common denominator of 74\/33 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 461*m + 6458. Let u be c(-14). Factor -10\/3*s**3 + 8\/3*s + s**u + 0 + 4\/3*s**2.\nAnswer: s*(s - 2)**2*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1491*o + 181 - 181.\nAnswer: -1491*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1267780198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(10\/13)*s*s*s)*s)**(-37) assuming s is positive.\nAnswer: s**(1332\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 + 175. Is (0 - -4)\/(y + (-981)\/(-195)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Let u(n) = n**3 - 3*n**2 + 3*n - 2. Let y be u(2). Let l = -1 - y. Sort 1, l, m.\nAnswer: l, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 125, 170, 215?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 643698 divided by -107283.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 263732*o\/3 + 8445568.\nAnswer: -2*(o - 96)*(o + 131962)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 - 2*b - 1. Let j be f(-1). Suppose 2*m + 5*d = 24, 3*m = d + j*d - 14. Let t be 4\/((16\/m)\/4). Sort 7, t, -1 in ascending order.\nAnswer: -1, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**7\/2520 + k**6\/720 - k**5\/40 + k**4\/24 + 8*k**2. Let f(q) be the second derivative of i(q). Determine f(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 155. Sort -1\/9, d, -2\/15.\nAnswer: -2\/15, -1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 347.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1976 and 832.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n + 46. Let a(r) = -3*r + 15. Let c(p) = 7*a(p) - 2*g(p). Let k = 18 + -10. Let i be c(k). Solve -i*d + 30 = 5*q, -5*d + 10*d = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 4, i: 2, w: 2, v: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/((-144)\/(-768))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -b487?\nAnswer: -b487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8842, -14537, -13930, -3871, 18790, 57203?\nAnswer: 114518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 18. Suppose -4*a - 44 = -m*z - 0*a, -4*a - 20 = -z. Solve 20 = -4*i + z*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 minus 17079255700980?\nAnswer: -17079255701013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - 4*g - 2*g)*(-1 + 1 - 2) + 0*g + 0*g - 3*g in the form f*g + q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 378*a. Let b(q) = 1518767 + 4*q**2 - 1518767. Calculate v(b(c)).\nAnswer: 1512*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65 - -27?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -65. Let k be 6\/180 + (-4)\/r. Sort 38, 3\/7, k, 0.4 in descending order.\nAnswer: 38, 3\/7, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116 or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6\/901, 3\/5, 6, -6, 8, -0.2 in ascending order.\nAnswer: -6, -0.2, 6\/901, 3\/5, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 174*s - 126*s - 170928. What are the prime factors of s?\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:10 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + (-5 - -2) + 27 + (12 - (52 - 10))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 2564010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.053595?\nAnswer: 0.010719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000228 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(15\/3)\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -6*h**7\/7 - h**3 + 7. What is the third derivative of d(c) wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12694 and 88799146?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**4\/24 + z**3\/2 + 5*z**2. Suppose 6*r - 6 = 7*r. What is q(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 9. What is the least common multiple of m and 6\/(-21) + 60\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 6 - (1 + -3). Let a = 1.8 - -1. Let b = 1.8 - a. What is the closest to 0.4 in b, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-1)\/(-1))*(-667 + -7). Let b = 3807 + p. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((13\/2)\/(-13))\/((-2)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 688, 2208, 6452, 14782, 28560, 49148?\n\"Answer: 227*m**3 - 69*m + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*u + 517 + 437, -z + 5*u = -982. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/14*(4\/(-6))\/((-142)\/(-2556)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/3 - (-42)\/2. Let y = n - 11. Suppose 5*a + c - 41 = -3*c, 2*c = y. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 269*n**4\/4 - 10*n**3\/3 + 146*n + 2611. What is the third derivative of d(z) wrt z?\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, r: 7, t: 3}. What is prob of picking 1 z and 2 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1\/3) + 1. Let v = m - -4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51041211 (base 6) to base 10\nAnswer: -1451815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmzmmm. What is prob of sequence zmzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*h**5 + 1334*h**4 - 16*h**3 - 1235660*h**2 wrt h.\nAnswer: 720*h**2 + 32016*h - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from mmmmmhmmimmxmnm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -377?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, d: 2, n: 1, x: 5, j: 5, z: 1}. Give prob of picking 2 x and 1 q.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c**3 - 6*c - 6. Let u(z) = -10*z**3 + 5*z + 5. What is -5*h(d) - 6*u(d)?\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 62, -20\/11, 13.4, 0.4?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 3. Let v be (1 - (-2 - -2))\/(11\/(-33)). Let h(o) = -3*o**2 + o + 5. What is v*h(a) - 5*u(a)?\nAnswer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9677 and -1?\nAnswer: -9677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 7*q + 6. Let z be m(-4). Suppose 3*a - 7 = -t, -4*a - a - 3*t = -9. What is the least common multiple of 1 + z\/4*-2 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40041014113\/8971830 + -12142978\/2727. Let h = y + -1\/8883. Calculate the common denominator of -15\/11 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from {w: 2, k: 1, n: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*g + 3, f + 3*f = -2*g + 4. Let o = g - -2. Let 2*z - 21\/2*z**4 + 8*z**o + 1\/2*z**3 + 0 = 0. What is z?\nAnswer: -2\/3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -17*z**3\/3 + 4*z - 1964. Let s(p) = -13*p. What is j(s(y))?\nAnswer: -2873*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(2 - -3) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 0, 4*m + 8 = 4*z - 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y**(-11))\/((y**(-3)\/y)\/((y**(1\/4)*y)\/y)) assuming y is positive.\nAnswer: y**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 2. Let w = s + 7.7. Which is the third smallest value? (a) w (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123631681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -848 at least as big as -857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (3 + sqrt(2057))) + 5 + sqrt(425).\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, k: 1}. What is prob of sequence ww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-157 - 4)*4\/(-14) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -1, 0.216669, 0.4 in decreasing order.\nAnswer: 0.4, 0.216669, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 3\/2*8\/111. Are 1 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(7\/4))\/(h\/(h\/((((h\/h**16*h)\/h)\/h)\/h*h))) assuming h is positive.\nAnswer: h**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + 34\/(-10))\/(9*3\/(-18)). Which is the second biggest value? (a) o (b) -1041 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {j: 2, v: 6}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123 and 3402672?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 24 + 0*p**3 - 9\/2*p**4 + 0*p**2 - 4*p. Differentiate x(l) with respect to l.\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 9:21 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17204 divided by 4.\nAnswer: 4301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 3. Let m(n) = -n**2 + 4*n + 285. Let p be m(-15). Let r be p\/(-4) + g\/(-2)*4. Solve -5*w + 2*o - r*o = -17, 0 = -2*w + 4*o + 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 7*q**2 + 3*q + 8. Let o be g(7). Suppose -o*x + x = 28. Which is the closest to x? (a) 3 (b) 5\/6 (c) -2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -3*i**8\/56 + i**7\/7 - 7*i**6\/60 + i**5\/30 + 2*i**2 + 8*i. Let d(m) be the first derivative of f(m). Factor d(v).\nAnswer: -2*v**2*(v - 1)*(3*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**2*x**2 - j**2*x - 77*j**2 wrt x.\nAnswer: -10*j**2*x - j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/6 and -67\/363596406?\nAnswer: 363596406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 81. Calculate j(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 8. Let u be m(-9). Is u smaller than -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8752*l**2 + 6180*l wrt l.\nAnswer: -17504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 76*k + 34*k + 14*k + 19*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/6*(-775)\/(-155).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 1. Let w = -181\/7 - -26. Let n(b) = -6231*b - 6232. Let i be n(-1). Sort x, w, -3, i.\nAnswer: -3, i, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 38*m**3 + 1. Let v be q(1). Let d = -34 + v. Solve -d*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) -3\/3653 (c) 0.1 (d) 1 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**2 + d + 1 + 18*d**2 - 10*d**2. Determine v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 142*a - 2*a**4 + 283*a - 143*a - 2*a**2 + 26 to r*a**2 + w*a**3 + u + y*a + p*a**4 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (-4 + 3 + 0 + 3)*(-31)\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) -4\/3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 15*y**2 - 6*y - 64. Let p be (-4)\/((2\/18)\/((-14)\/(-63))). What are the prime factors of d(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 1. Let p(u) = -45*u - 35. Suppose -2 = -w + 371*a - 376*a, 4*w = 3*a + 8. What is w*p(t) + 70*s(t)?\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f. Which is the nearest to f? (a) 0.2 (b) 1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-2\/5)))**(-5)*(g*(g\/g**(-2\/9))\/g)\/(g**0*g) assuming g is positive.\nAnswer: g**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -342 = -343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/7 - 83717*x**3\/7 - 334855*x**2\/7 - 35877*x = 0.\nAnswer: -83713, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 99265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5879399.\nAnswer: 17, 317, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - f = -42, -3*f + 106 = 5*u - 0*f. Calculate the remainder when 1433 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q - 18 = -g, 2*g = -3*q + 51. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*j - 39, 3*g + 15 = -154*j + 156*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-42)\/(-70))\/(42\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1289785027981\/5620 + -229499113. Let n be (3\/(-5058))\/((-2)\/(-3)). Let w = f - n. Calculate the common denominator of 55\/9 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-2*q**5 - 5*q + 5*q) - 3*q**5 + 4*q**5 + q**5 + 5*q**5 - 11*q**5 + q**5 + 0*q**5.\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 1, 33, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/30*(-28)\/(-77).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, 0.5, -2\/1238373 in increasing order.\nAnswer: -1\/3, -2\/1238373, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/33 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 + 22 + 28)*(40 - 81 - 3*y + 44) to z*y + i and give z.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -622, -6 in descending order.\nAnswer: 16, -2, -6, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5914960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:20 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21387, -42484, -63345, -83970?\n\"Answer: 118*w**2 - 21451*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/806 <= -301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, i: 2, w: 2}. What is prob of picking 2 c and 2 w?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459 and 9?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 42072*q + 147504432.\nAnswer: 3*(q + 7012)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (142\/(-9) - 6\/27). Factor 64*d**2 + 16*d - 25*d**4 + t*d**3 + 19*d**2 - 11*d**4 + 8*d**4 - 19*d**2.\nAnswer: -4*d*(d - 2)*(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.048 - 0.04747. What is o rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28398*b**4*h**3 - 2*b**4*h**2 - 344*b**2*h**3 + 3*b**2*h**2 wrt b.\nAnswer: 681552*b*h**3 - 48*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690570 is divided by 23812?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 715030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10369\/68 (b) 0.5 (c) -1\/7 (d) 0.1 (e) -1 (f) -3 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9 and 23\/68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180851 plus -60?\nAnswer: 1180791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022 + -123242?\nAnswer: -122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -45*z**3 + 1706*z**2 + 155*z - 134. Give f(38).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21308553 is divided by 3055.\nAnswer: 2983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3072*y - 34732 = 45140 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(120)\/sqrt(6)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*l = 49*l + 27*l + 3750 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 32 = -0*w - 2*w, 4*i = -4*w + 68. Suppose 2 = -5*u + z, -2*u - 5*z - w = 2*u. Let v be 33 + 1 - (u + -1). What is v rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 196682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1539))**2*2.\nAnswer: 24624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3 + (-1*sqrt(343) - sqrt(343)) + sqrt(343)*-1*-4))**2 + -2)*-5.\nAnswer: -6895 - 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/(-14) + 4\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -113120 - 0?\nAnswer: -113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r**(-4\/3))**(17\/2)\/(r*(r*r*(r\/r**(4\/3))\/r*r)\/r*r**14\/r*r)**(7\/8) assuming r is positive.\nAnswer: r**(117\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, l: 2, i: 3, v: 2, f: 2}. What is prob of sequence ffkl?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4) - sqrt(17)) + -5 + 3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -1.713\nAnswer: -71.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(54)\/sqrt(6))*-5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus -455?\nAnswer: 455.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 + 6*s**2 + 0*s**2 - 1 + 6 - 6*s. Let o(r) = -2*r**2 + 5*r - 4. Let p(y) = 5*f(y) + 6*o(y). Is p(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -b - 3 - 2, -w = -4*b + 10. Let a be (4 - (1 - 3))\/w. Suppose -z = -2*z + a. Solve o + 0 = 5*l - 13, -z*l = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/522984 and -1\/46.\nAnswer: 12028632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321 or -76?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(-1)*y*y))**9)**(-1\/5) assuming y is positive.\nAnswer: y**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2785916*d**2 - 13*d - 308968811.\nAnswer: 5571832*d - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 15 + 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2339, -2\/23, 1\/4, -2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 11*f**2 + 9*f + 12. Let m be l(10). What is the third derivative of -2*y**5 - 2*y + 0*y + 2*y - y**m wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46013 is divided by 22967?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 0 + -1*-2*sqrt(1250)*4)**2.\nAnswer: -1600*sqrt(2) + 320004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 573*x + 20520 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 - 6*r. Let h(n) = -n**2 - n. Let p(a) = 6*h(a) - k(a). Let y(i) = -3*i. What is y(p(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**3\/2 - 6*v**2 - 25*v. Let g be j(5). Suppose 0*l - 20 = -l - b, -l - g*b = -18. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*v - 72 + 72)*(-6 + 2 + 2)*(-5*v**2 + 3*v**2 + 0*v**2) in the form i*v + o*v**3 + p + h*v**2 and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 573, 1254, 2207, 3432, 4929?\nAnswer: 6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 45232 - 45232 - 448*r in the form o + u*r + t*r**2 and give u.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 199 = -j, -2*j = 3*b + j - 138. Let h be (-6)\/b + 32474\/34. Suppose n - h = -4*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1429 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1280)\/(-1600)*(-27)\/180\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 13. Let x = -8 - -23. Let p be f(x). Solve 3 = -2*o - p*d - 13, 0 = 2*o + 3*d + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 60*q + 400.\nAnswer: -4*(q - 20)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3547065 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n + 32. What is i(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36\/13, -4, -165, 0.5, 0 in increasing order.\nAnswer: -165, -4, -36\/13, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txxttxtxitttxtii. Give prob of picking 3 i.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 21*q - 36. Let s(w) = -4*w + 7. Calculate -4*m(i) - 22*s(i).\nAnswer: 4*i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 18379812*s - 36759621.\nAnswer: -3*(s - 24506414)*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = -0*b. Let u(n) = -22*n + 83. Let q be u(4). List the prime factors of q\/(-3 - b\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -13, -36, -77, -142?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three thirds of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(13)*3 - 1*sqrt(325))**2*2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 749.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-592)\/37)\/448*-3.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -1.434. Let x = -0.086 + o. What is the closest to x in 4, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618*g = -21124 - 770 - 44444 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 20*s**2 - 18*s - 23. Let x be c(19). Let d be 1 + -4 + 8 + x. Solve -d = -2*f + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 - 66. Let t(q) = 14*q + z - 13 - 38. Let u be t(-2). Solve -2*c - 3*j + u = -0*c, -24 = -3*c + 3*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m - 8*m - 162 = 0. Suppose -8*n + 5 = -9*n, 4*n + m = -v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 38. Calculate the remainder when 70 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-10))\/(2 - 225\/114). Let r = -71 + o. Let j(t) = -4*t - 4. Let d be j(3). Which is bigger: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -48*j + 5. Let n be d(-4). Suppose 2*m - n - 301 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-22)*(3 + -4). Solve 2*t + 4*g = -z*g + 16, 4*g - 22 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13741 + 5?\nAnswer: 13746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*g + 2982 = 0, -g - 2771 = 5*n + 4739. Let s = n + 3392. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 3*w**2 - w - 2. Let g(n) = -18*n**3 - 16*n**2 - 11*n + 12. Give g(i) + 6*o(i).\nAnswer: -6*i**3 + 2*i**2 - 17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 23853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-4)*(0 + 2). Let y(w) = -2*w**4 + 15*w**3 + 7*w - 9. Let f(o) = -o**4 + 8*o**3 + 4*o - 5. Let v(g) = h*y(g) - 11*f(g). Solve v(x) = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p = 44*p + 375. Let w(x) be the first derivative of 0*x**2 + 0*x - 4\/3*x**3 + p. Let t(m) = m**2. Determine w(t(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d. Let u be j(0). Suppose -4*w + 41 = 4*o - 75, 4*o + w - 110 = u. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/29582208 and -115\/2496.\nAnswer: 384568704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 16, y: 4}. Give prob of sequence yyyy.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30461105?\nAnswer: 5, 509, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1269 and 8883?\nAnswer: 8883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 67*a. Let g(u) = 44*u**2. Calculate g(j(w)).\nAnswer: 197516*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 321599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 869*m**2 + 33*m - 147. Does 18 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335375220 divided by 5.\nAnswer: 67075044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 - 65*z**2 - 6. Let a(g) = 17*g**3 + 195*g**2 + 17. Determine 4*a(f) + 11*v(f).\nAnswer: 2*f**3 + 65*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*y = 32, -6303 = -y - 6308 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 1, s: 5, x: 1, b: 1}. What is prob of picking 4 s?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20253187 + 350.\nAnswer: 20253537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + i + 162 = 0, 3*w - i + 78 = 4*w. Let p be w\/(-30)*(-6)\/4. Suppose -4 + 0 = -p*c. Solve n - 2*n + c = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2. Let t be ((-14)\/6)\/(1\/(-3)). Suppose 2*o - 5*r = 19, -4*r - t = 2*o + 1. Let j(h) = 0 + 0 - 3*h**o. Give c(j(b)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1324868928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 458400182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5 - 4*a**4 - 40*a**3 + 16*a**2 + 256*a + 256 = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 3*c**4 - 2*c**4 - c**2 - 5*c + 0*c**2 as q*c**4 + t*c**2 + b*c**3 + k*c + w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7385300 rounded to the nearest 10000?\nAnswer: 7390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -566330434?\nAnswer: 566330440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 33 - 61. Calculate the remainder when 40 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*m - 167 - 8, 0 = -2*a + m + 59. Calculate the least common multiple of 0\/2 - 6\/(-3) and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1\/(-75)*(-45)\/(-63)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q = 41*q + c + 2, 0 = 2*c - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -10. Let b be 10\/4*(19 - -5). What is the greatest common factor of p and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156.5 + -189.03. Let a = d - -31.9848. What is a rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1726.919 nanograms?\nAnswer: 0.000001726919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 4*w + 4*w - 8*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m**3 + 13*m**2 - 11\/24*m**4 + 0*m + 0 - 4\/105*m**7 + 0*m**6 + 0*m**5. What is the second derivative of q(k) wrt k?\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74, 83, 98, 119, 146?\n\"Answer: 3*g**2 + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 412853952 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 981 divided by 6?\nAnswer: 327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.982 - 0.018. Put -9\/2, 2, 0.5, h in descending order.\nAnswer: 2, 0.5, h, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = -6*m. Let j be -2 + 8 - 1 - -2. Solve -m*y + j = -2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-12) - 1\/(-4). Suppose -5*y = g - 2 - 7, -14 = -d*y + 4*g. Let j(w) = w + 3. Let z be j(-2). Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -863787 (base 9) in base 4?\nAnswer: -1331220133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.66182 kilometers in nanometers?\nAnswer: 3661820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 + 186. Factor j*f**2 - 495 + 248 + 4*f + 249.\nAnswer: 2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -5*f - 186 - f**2 + 33\/5*f**5 + 0*f**3 + 0*f**4. What is the second derivative of w(n) wrt n?\nAnswer: 396*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136 + 139. Let x(y) = y**2 + y - 2. What is x(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 25. Suppose 2*c + 10 = 3*c. What is the remainder when (38\/(-5))\/(w\/5) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**4))\/(i*i**1*i*i))\/((i*i**8)\/i*i\/(i**(-1)\/i)) assuming i is positive.\nAnswer: i**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/2 + 2*i**3\/3 - 357. Let l(u) = -2*u**3 + 2*u**2. Suppose 2*r = 3*r + 5. Give r*l(p) + 6*g(p).\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3 = 4*j - 38, 0 = 2*j - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 827528 and 30797?\nAnswer: 1960413832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-124)*144\/(-1620).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1388 divided by 519\nAnswer: -1388\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-7) - (-2 - (-54)\/(-21)). Suppose -z = -o, -4*t + 972 = -4*z - 992. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -131*a**2. Let i(w) = -65*w + 24*w + 24*w + 16*w. What is i(t(o))?\nAnswer: 131*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -325 + 325. Which is the nearest to 0.1? (a) z (b) 1 (c) 2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -240.57853 and 34.\nAnswer: -8179.67002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/75)\/(20\/42). Let z = 83\/25 - g. Calculate the common denominator of z and 61\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6110 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30544933.0000526 - -30544818. Let a = h - -115. Round a to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = 3. Let p = -1043 - -1052. Sort 0, i, p.\nAnswer: i, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 8*n - 6. What is the tens digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112195 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714102.\nAnswer: 2, 947, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 86 + 13 + 68 + 3*o - 2*o.\nAnswer: o + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 2*c**3\/3 + 5*c**2 - 2*c - 2. What are the prime factors of d(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/569 + 7433\/6828. Find the common denominator of 37\/16 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*j + 3*w, -5*j + 0*j - w + 51 = 0. Suppose 5*a + 5*p - j = 0, 4*a - 5*p = -14 - 5. Let m be ((-2)\/25)\/(-5 - -4). Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let o be ((-42)\/4)\/((-3)\/4). Suppose 24 = 4*d + 2*n + 2*n, 5*n = 3*d + o. Is d not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3, -l - 109 = -5*c - 4*l. Let v be 1 - (c\/132 - 2\/(-11)). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 20*f + 11. Let c(q) = -q**2 - 10*q - 5. Let z(w) = -7*c(w) - 3*m(w). What is z(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -454*z**3 + 2*z + 1. Let l be b(-1). Let f be (30\/(-18))\/(-5) + (-334)\/(-6). Let a = f + l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 + c**2 - 6*c**2. Let s(u) = -4*u**2 - u + 1. Let a(d) = 3*d**2 + d - 1. Let n(p) = a(p) + s(p). Calculate n(j(r)).\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1276*c - 553*c + 3016*c + 102*c in the form m*c + j and give m.\nAnswer: 3841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**3 - 2*i**3 + 6 - 1 + 9 - 2*i**3.\nAnswer: 19*i**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -911 - -1779\/2. Suppose -151 + 13 = 6*j. Which is bigger: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*h + 15 = 0, -3*h + 21 = 3*q + 2*q. Let f = 14 - 12. Let k(y) = 13*y**2 - 1 - 37*y**2 + 15*y**f - 7*y + 10*y**2. Determine k(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282 divided by 1\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 30*r - 25. Let x be n(-14). Solve -5*u = x*o - 0*u - 9, 0 = -2*o + u + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*a + 0)*(3*a**3 + a**3 - 2*a**3) - 4*a - 3 + 3 - 2*a**4.\nAnswer: -6*a**4 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -224356138*c**3 + 139908396 wrt c.\nAnswer: -673068414*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23720757 to the nearest integer?\nAnswer: 4870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25*(-110600)\/(-2528)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3\/5 - 1766*x**2\/5 + 1257732*x\/5 + 504504 = 0.\nAnswer: -2310, -2, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57792?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 at most 867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1162 and 19334.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429 + -313. Calculate the remainder when v is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 10*w**2 - 9*w + 4. Let t be c(9). Let k be (-1)\/(-6) - t\/(-12). Find j, given that 0*j + 1\/2*j**3 + 0 + k*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 18*p - 18. Let y be (-4 + 25)*(-8)\/12. What is the tens digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3054\/4 + 215\/86. Let s = x - 615. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 7. Suppose 3*q - 30 = 5*b, -b + q - 23 = -3*q. Let z = b + -2. Let c be o(z). Solve -v = c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6532 is divided by 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 294592689119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -56, 8 in descending order.\nAnswer: 8, -1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6448 - -6450. Let d(k) = k**3 + 3*k**2 + k + 2. Let x be d(-2). Put -3, v, x in increasing order.\nAnswer: -3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - -2 - (-6)\/(-2). Let b be (11 + -3)\/(-4) + 14. Let c = b + y. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -2\/3, -16969.\nAnswer: -16969, -2\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sksisswsh. Give prob of sequence khki.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 18*f - 132, 5196*f - 16 = 3*g + 5195*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 - 3*z. Let d be c(2). Find the second derivative of -d*g**2 + 6*g**2 + g**3 - 4*g wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {t: 1, u: 1, i: 1, d: 1, v: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z + z + 2*z.\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 29*b**2 - 542 + 968 - 406 as v*b + p + f*b**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-12))\/(6\/(-621)). Let n = z + -49. Solve 7*v = 2*v + n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**3\/2 - 5*q**2\/2 - 7*q. Find the first derivative of v(k) wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 45 + 74*l**3 - 174*l - 72*l**3.\nAnswer: 2*l**3 - 174*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277666697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 3*u**4\/32 - 7*u**3\/4 + 45*u**2\/4 - 27*u - 89. Find d such that t(d) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 5*w + 182 = 12*p, w = -5. Are 67 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2, 232, -5, 1 in ascending order.\nAnswer: -5, -4, -2, 1, 3, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -18433 and -18387 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 11\/9 (b) 605 (c) -5 (d) 2 (e) 6\/53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12082 - 57556 = 85*d + 1293*d for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*u - 306 + 318 = 0, 4*u + 3 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 67931?\nAnswer: 67931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 26*p - 500. Determine f(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -67503691.\nAnswer: 67503691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -989563, -1979168, -2968799, -3958468, -4948187?\n\"Answer: -2*v**3 - v**2 - 989588*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565*i + 141*i = -1383*i - 627*i - 230392 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -62. Solve g*z = 5*q + 30, 21 = -4*q + 3*z - 2*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose m = x + x. Let c be x\/((-1 + 3)*1). Solve c = -k + 5*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2\/(-2)*(-394)\/3940.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - 4*f**2 - 894 - 8*f**2 + 2*f - 7*f**2 + 904 in the form i*f + r + c*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -74, -69, -62, -53?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/54 + (-448)\/24. Put -3, b, 218 in ascending order.\nAnswer: b, -3, 218","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 + -7 - 6 - (6 - 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52883431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*2628.\nAnswer: -3416.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 6. Let i = 46 - 48. Let b be n(i). Let q(u) = u + 11. Determine q(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*j**2 - 1 + 69*j + 37*j - 106*j as g*j + a + l*j**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208342 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: 177178173 divided by 19\nAnswer: 9325167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 5 (c) -4 (d) -4083 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, r: 4, p: 4, b: 6}. Give prob of picking 2 r and 2 x.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 10 = a, a - 7 = 4*x. Let p be 15*2\/10*x. Let c be 3\/p + 2\/3. What is the nearest to 0.1 in c, 1\/5, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100111011?\nAnswer: 100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -598 + 603. Put -3, a, 3\/19 in decreasing order.\nAnswer: a, 3\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + 622\/6. Let g = 63 + s. List the prime factors of g.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 3. Let y(w) be the second derivative of -w**3\/3 - 3*w**2\/2 + 109*w + 3. Give 5*n(o) + 6*y(o).\nAnswer: -7*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.23 + -3.91. Let l = 6.44 + f. Put -5, 0, l, -2\/13 in ascending order.\nAnswer: -5, -2\/13, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295413, 590826, 886239, 1181652, 1477065, 1772478?\nAnswer: 2067891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + 315\/28. Suppose 5*p + 5*f - 9 = q, 4*p + 2*f = 18. Suppose -p*j = -5*z - 110, 0*z - 2*z = j - 37. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppapvnpnvo. What is prob of picking 1 v and 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 5 + 13\/1. Let z be (-6)\/p - 110\/(-25). Suppose 0*h + u = -z*h + 6, 0 = 5*h - u - 12. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15.5. Let r = -784 + 11756\/15. Let t = 1\/15 - r. What is the third biggest value in t, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20974750 by -3.\nAnswer: 20974750\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - h + 11*h**2 - 17*h**2 + 4*h**2 + 0*h**3 to the form b*h**2 + z + m*h**3 + g*h and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(2\/9))\/v**(-4\/3))\/(v**(2\/7)\/(v**(-2\/5)\/v))*(((v*v**(-1\/6)*v)\/v)\/(v*v**(2\/15)))**(-13\/5) assuming v is positive.\nAnswer: v**(8347\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13) - sqrt(13)*5) + 4 + -5.\nAnswer: -3*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26806 divided by -303.\nAnswer: 26806\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 99*o**4\/8 + 10191*o**3 - 25433*o**2 - 27676*o - 4130 = 0.\nAnswer: -826, -2\/3, -2\/11, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 - 3 - (-48 + 77 - 38)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 - 37*o - 119. What is the remainder when 79 is divided by y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**2 + 0*p**2 - 12*p**2 + 17*p**3 + 2*p**2 wrt p?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 3, -63\/166, -3.1 in ascending order.\nAnswer: -3.1, -3, -0.5, -63\/166, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 7243 = -509. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -49*2*(-3)\/(-6). Is -49 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2853ba (base 15) to base 14\nAnswer: 38776b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45063, 51462, 57861, 64260?\n\"Answer: 6399*m + 38664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 17 - 15 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 2*i**3 - 2*i**2 + (-1 + 1 + 2*i)*(708*i - 23*i**2 - 708*i) to b*i**2 + w*i**3 + p + v*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 632142 and 627298?\nAnswer: 163724778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*z + 29, -87 = 3*l - z - 71. Put -2, l, -1, -10 in increasing order.\nAnswer: -10, l, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 16*p + 118. Let q be j(-7). Solve -5*m + 15 = 0, m + 1 = z + q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4532 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = 5*i - 5*d, i = 2*d + 12. Suppose -p = -4*g + 7, -3*g + 5*p - 1 = -2. Suppose -5*o - 5*q = 0, o = g*o - q - i. Let f(a) = a. Calculate f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1219 (base 15) to base 14\nAnswer: -158d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 950 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 15 + 3, f - 191 = 3*b. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-108))\/(19\/171*(-18)\/6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-18)*27\/(-24))\/(3\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**2 - 4*q. Suppose -4*d + 7*d = 4*l - 4, 8*l = -2*d + 40. Let u(i) = -21*i**2 + 9*i. Determine d*u(k) + 9*c(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*j + 16, c + j = 6*j + 24. Solve -4*b = -c - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2. Let w(s) be the third derivative of s**7\/5040 - 3*s**5\/20 + 7*s**2. Let p(q) be the third derivative of w(q). What is p(b(y))?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -9 + 93. Is r less than -141\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*o + 13, -r + 3*o = 5 + 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1330\/34221 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 145, 313, 557, 883, 1297?\n\"Answer: l**3 + 29*l**2 + 4*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(320) + 5 - (sqrt(320)*-6 + 1).\nAnswer: 4 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14710259567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 9 + 2)*(-c**4 - 2*c**3 + 2*c**3) in the form s*c**2 + a*c**4 + i*c + u + g*c**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -587.7, -1\/6, -5, -559?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(102)*-1)\/sqrt(2)*-6)\/(-3*4*sqrt(12)) + -5)*-6.\nAnswer: 3*sqrt(17)\/2 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7261\/3 - 2416. Suppose 3*q - 5*q = -2*j + 558, -q + 5*j = 263. Let y = 1157\/4 + q. Calculate the common denominator of d and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 10*r + 3. Let j be (-14)\/(-77) + (-108)\/(-11). Let g be p(j). Let q(h) = -3*h**2 + 3*h**g - 3 + 2*h**2 - h - 4*h**3. What is q(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 + 7*v + 5. Let p be l(-7). Let k = -4 - -8. Solve -d = -3*j - p, d - 8*j + k*j - 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {a: 2, s: 1, d: 4, y: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4, -128, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**3\/3 - 9*f - 1. Let x be k(0). Let j = 6 - x. What is the greatest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y - y + 6*y**2 - 352*y**4 + 351*y**4 - 4*y - 16*y**5 wrt y.\nAnswer: -960*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -102, 0.1, 217, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61902 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156)*-1*-1 + sqrt(156))*-1)\/(-4*2*(sqrt(108)*-1 - sqrt(108))).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 509\/(316089\/828)*2\/((-52)\/(-3))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2\/17, -4\/3, 0.0354, 4 in increasing order.\nAnswer: -5, -4\/3, -2\/17, 0.0354, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.055 + 161.055. Let b = -161.0000142 + k. Round b to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5712816181?\nAnswer: 199, 28707619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.91574 or 1\/8?\nAnswer: -2.91574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 26*b - 9*b**2 - 18398 - 3*b**2 + 18394 = 0.\nAnswer: 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 27. Let n = 32 - k. Let z(f) = n + 11 - 21 - 2*f. Let j(t) = 8*t**2. What is j(z(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 76, 101, 122?\n\"Answer: -2*x**2 + 35*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 12*q - 8. Let k(p) = p. Let t(v) = k(v) + x(v). Let g be t(-10). Factor -1\/2*d**3 + 1\/2*d - 1\/2 + 1\/2*d**g.\nAnswer: -(d - 1)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/18 + 240557\/(-207). Let f be 38315\/(-33) + 2\/6. Let y = f - k. Calculate the common denominator of y and 9\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*n, 55*v = -3*n + 52*v - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3065 + 3220?\nAnswer: 6315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10677?\nAnswer: 3, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 372770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27\/7 in 10, -3, -59\/7, 3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = -22*z - 325. Solve 0 = 28*t - z*t + 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Let x = 655.6 + -655.9. Let j = -0.08 - 3.92. Which is the smallest value? (a) 6 (b) x (c) z (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113403, 453681, 1020811, 1814793, 2835627, 4083313, 5557851?\n\"Answer: 113426*c**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 91\/39*(7 - 1). Let z = t + 39. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138458707 rounded to 4 dps?\nAnswer: -0.1385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 5. Suppose -w*s + 103 = 3*m, 2*s = -2*m - m + 43. What is the smallest common multiple of 93 + (-1)\/(18\/(-306)) and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/8 - 110\/(-88). Let p(k) = -11*k - 2*k - 4 + a - 23. What are the prime factors of p(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 3, e: 3}. Give prob of sequence eo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5.9. Let x = 0.4 + v. What is the third biggest value in x, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*g = 19, 2 = -4*f - 2*g + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177539455 and 10?\nAnswer: 355078910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 318*c**2 - 26*c - 621. Is q(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (22 + 2701\/296)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2489*d - 161553. Determine k(-65).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 1601 in ascending order.\nAnswer: 4, 6, 1601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2249 - 1319. Suppose 17*o = 5214 - f. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2816833 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 2, j: 3, s: 4}. What is prob of sequence ssns?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -432.6 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81.6 - -84.6. What is the second biggest value in 15, -4, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122.644 - -2.944. Let h = -355 + 235. Let r = h - o. What is the third biggest value in 1, 8\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 3*j**2 + 2*j**2 + (-3*j - 3 + 3)*(j - 9*j + 3*j) to x*j**2 + k*j + z and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2779*j = 2794*j - 570. What is the remainder when 8625 is divided by j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/145653 (c) 5 (d) -106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/4))\/(z\/(z*z**(1\/5))) assuming z is positive.\nAnswer: z**(19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309382.\nAnswer: 2, 154691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43028*y**3 + 86045*y**3 - 43023*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390 - 1561\/4. Which is the third biggest value? (a) 2\/13 (b) -4 (c) k (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2) + (176\/16 - 8). Suppose -37 = -3*u + 4*j, 5*j + 6 = -0*u - h*u. Solve -3*m = -8 - u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224451 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: Evaluate (40\/(-24))\/(-5) - 14\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -2.06 (c) -0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7653266.\nAnswer: 2, 907, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 295?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70638, -71040, -71704, -72630?\n\"Answer: -131*c**2 - 9*c - 70498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -70. Calculate the greatest common divisor of f and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*t + 0 + (-2*t + 2*t + 2*t)*(0 + 0 - 2) + 3*t + 3*t - 3*t)*(4*t - 4*t - t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (42\/(-19))\/(-2) - (-54)\/(-513). Let s(q) = 49*q - 2. Determine s(f).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1719, -945, -169, 609, 1389, 2171, 2955?\n\"Answer: k**2 + 771*k - 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -8\/73 (c) -7.5 (d) 0.5 (e) -5 (f) 5 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 10*m - 6. What is j(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 + 4*n**2 - 6*n. Let b(c) = 6*c**3 + 4*c**2 - 7*c - 1. Let y(i) = 6*b(i) - 7*t(i). Let h be y(5). Solve 3 = 4*x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5255470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42, 308, 1214, 3138, 6458?\n\"Answer: 63*l**3 - 58*l**2 - l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1459892688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -40. Let j be 3 - (-2)\/(b\/45). What is the remainder when 23 is divided by j\/66 + (-90)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*u**3*z + u**2*z**3 - 501*u**2*z + 4*u*z - 6*z**3 - 1123*z**2 + 5*z wrt u?\nAnswer: -870*u*z + 2*z**3 - 1002*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*f + 5*i - 23 = -123*f, 2*i - 12 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:27 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*q = 2587, 4*q - 5*q = 2*m - 1726. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Let d = -0.21 + 0.11. Let g be 2\/(-15) + (-1037)\/(-2040). What is the nearest to d in r, g, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 + -5 - (7 - 1). Let c(s) = -s**2 - s - 1. Let j(b) = 10*b**2 + 11*b + 11. Let k(a) = q*j(a) - 22*c(a). Let d(x) = -5*x**2. Give d(k(o)).\nAnswer: -20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2427687.3606904 + -225485.6004394. Let y = 2202198 - t. Let f = -3.76 - y. Round f to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -77.3 times 12965?\nAnswer: -1002194.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00708554 rounded to four decimal places?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 9*s**2 - 11*s + 6. Let j be x(-10). Differentiate j*v - 64*v**2 + 51 - 38*v + 22*v with respect to v.\nAnswer: -128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - sqrt(70)*1))*3)\/sqrt(10) - (sqrt(448) + sqrt(448) + sqrt(448) + -5*(sqrt(448) - (-1 + sqrt(448)))).\nAnswer: -21*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from hnehbuqeennqhhhqqh.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 159*k + 100. Let r(q) = q**3 - 2*q - 1. Let m be r(2). Does 15 divide n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnndnnnnndqn. Give prob of picking 1 n and 1 q.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 78.34. Let s = 328202 - 328201.6600004. Let v = w - s. What is v rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f**4 - 2256*f**3 + 1134*f**2 - 142*f = 0. Calculate f.\nAnswer: -71, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 + 3*f - 3. Let a be o(4). Let x = a + -27. Let b be (-10799)\/(-4) - x\/8. Round b to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -279*r. Let j(q) = -199*q + 1. Give o(j(z)).\nAnswer: 55521*z - 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i - 9*i + 5*i**2 - 9*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from biuiouaoubaii.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318 + 9541\/30. Let w = 1\/10 + p. Put w, 4, -1\/2 in increasing order.\nAnswer: -1\/2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b. Let f(t) = -t + 15. Let w be (-2)\/3*(-156)\/8. Let a be f(w). Are b and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-2\/5))*x)**(-43)*(x**(-3\/7)\/x*x)\/x*x**(-3\/7)*(x*(x*x\/x**(-1\/7)*x*x)\/x*x**(-6))**(1\/21) assuming x is positive.\nAnswer: x**(-20393\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 382965 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(sqrt(1300) - (sqrt(1300) - (sqrt(1300)*-1)**2)))*-6.\nAnswer: 7800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 14 - 9)*(-o**2 + 0*o**2 + 3*o**2)*(3 + 1 - 1)*(o + o - 3*o).\nAnswer: -42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7776 rounded to the nearest 100?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/8 (c) -19\/4 (d) 556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 119 + 6 = j, -4*j = -4*u - 380. Let a be 340\/j + (-4)\/10. Solve 15\/4*q**4 + 6*q**a + 3*q**2 + 0 + 3\/4*q**5 + 0*q = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -4*a**4\/3 - 2*a**3\/3 - a**2 - 636*a. Give h(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 69.14947cm?\nAnswer: 691.4947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 6. Let c(q) = 2*q + 7. Suppose 12*x + 42 - 18 = 0. Give x*c(m) + 3*t(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -90, -74, -38, 24, 118, 250?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 5*q + 6. Let u be o(-3). Suppose -3*s + 706 + 167 = u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -10. Suppose 31 + 8 = j - p, 3*j + x*p - 141 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1749, -1738, -1727?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 - -145. Solve -3*x - 9 = -3*m - 2*m, -5*x - m = r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccmy when four letters picked without replacement from myywlycyc.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 3*g, 4*g + 5*z - 7 = -22. Suppose 4*j + g*j = 52. Suppose -23 - j = -4*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-10) - 11\/(-2). Let p(u) = 2*u - 8. Let k be p(v). Suppose -k*z + 2*d + 4279384 = -5720616, d = 0. What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 83313426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 4, 247 in descending order.\nAnswer: 247, 4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -445*q**3 + 79*q + 35. Is s(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/21)\/((-32)\/(-448)). Solve -2 = -j, 14 = -4*y + 2*y + i*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/35))**(-5\/4)\/((v\/(v*v\/v**(-10)*v))\/(v*v\/(v\/(v*v\/v**13)))) assuming v is positive.\nAnswer: v**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -6. Let o = 59975 + -59975.2. What is the nearest to 1\/2 in -0.1, -8, o, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**8\/120 - 25*b**4\/24 - 19*b**3\/6 + 11*b. Let m(k) be the second derivative of d(k). Differentiate m(a) wrt a.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j**2. Let i(q) = 132949*q. Determine i(x(f)).\nAnswer: 1329490*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -84, -108, -148, -210, -300?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(800)*2 - (2 + sqrt(800) + -4))*-2*-3)**2.\nAnswer: 8640*sqrt(2) + 259344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -569180 (base 12) to base 14\nAnswer: -280716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = 148*j - 836 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 5, -22, -85, -196?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let v(a) be the first derivative of 1\/2*a**2 + 0*a + 2. Determine j(v(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*1*2. Let a(n) = -3*n + 2 - 2*n + n**2 - 5. Let s be a(6). Solve 0 = s*q - b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -5. Let x = -0.037792 - 0.162208. Let t = -0.48 - -0.4. What is the biggest value in x, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + m = -789 - 107, 3*x = 4*m + 524. Let a be (-1)\/(-3) + (-78)\/x. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -60. Which is the smallest value? (a) 5\/2 (b) 3 (c) o (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -44440.\nAnswer: -44434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, 181, 4, 3, 5 in descending order.\nAnswer: 181, 5, 4, 3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 5 = 6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 6. Let i be r(4). Suppose 0 = y + i*y. Let t = y - 0. Are t and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -397, 5, -17, 13 in decreasing order.\nAnswer: 13, 5, -3, -4, -17, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215 - -217. Let n = -0.4 - -6.4. Let b = 1 - n. What is the closest to o in b, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/222 and -31\/1036368?\nAnswer: 38345616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*a - 140, 0 = 2*a - 5*a - 5*m + 125. Let p = 86 - 68. What is the units digit of a\/6 - (-12)\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Let i(n) = -n**2 - 2*n + 4. Let r be i(-3). Let p(k) = 3*k**2 - r - 3*k + 0*k + k**2 - k**3. Determine p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 58*x - 77. Let k be l(11). Let t(o) = -58*o. Let f be t(-6). Let s = k - f. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5375430, -5375432, -5375436, -5375442?\n\"Answer: -x**2 + x - 5375430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 10) to base 16\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 - 2*g. Let q(d) = 14*d**2 + 11*d. Let m be (-61 + 63)\/(1 - (-13)\/(-11)). Give m*l(v) - 2*q(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1670*o + 1515. What is the ten thousands digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3 + 430475*l**2 + 9267373115*l + 83371493205 = 0.\nAnswer: -43043, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4 and -155556129 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28589 is divided by 304.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -9. Let p = w + -6. Which is the closest to 1\/3? (a) p (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*g + 2, 3*g = -5*y - 2 + 29. Let i(p) be the third derivative of -p**5\/60 + 5*p**4\/24 + 8*p**2. What is i(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, f: 6}. Give prob of sequence fcf.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -254?\nAnswer: -24e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4004 - -0.0004. Which is the nearest to -1? (a) -2\/9 (b) -55\/12 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1324749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011010111100101111100 - -101?\nAnswer: 111011010111100110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*v**6*w + 229*v**4*w - 5*v**2*w + 7*v**2 + 4*v*w + 32*v wrt v.\nAnswer: 3840*v**3*w + 5496*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1597, 6968, 16049, 28948, 45773?\nAnswer: 66632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y*y\/y**(-1\/2)))**(1\/4)\/((y**(-8\/3)\/y)\/y**(2\/21)))\/((y\/(y\/(y*y**(-2\/7))))**(7\/13)*(y\/(((y**(-1\/4)\/y)\/y)\/y))**(-48)) assuming y is positive.\nAnswer: y**(453185\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 99 = -33. Let c = 31 - w. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*t + 7621 = -66794. What is the greatest common factor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -162 in 4, -1\/3, -1\/4, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3721 - 3721 - 3721 - 3552*h**2 + 11163.\nAnswer: -3552*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04667 - 0.046. Round z to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.743 to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144 - -147. Suppose 5*y = 2*q - m*q + 7056, -3*y + 4229 = -4*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-544)\/12*((-5091)\/12 - 8\/2)?\nAnswer: 2, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 210237307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1409363*a**5 - 290*a - 8606 wrt a.\nAnswer: -28187260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a. Let l(y) = -606072*y - 2. Give l(c(v)).\nAnswer: 1212144*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 i when three letters picked without replacement from iiaiixieaijaraixaiai?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 19*v**2 + 11*v + 41. Suppose -j - 7 = -5*k, -4*k + 15 = -j - 3*k. What are the prime factors of u(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -53*x**3 - 172*x**3 - 400*x + 4*x**4 - 204*x**3 - 8*x**4 - 804*x**2 + 21*x**3.\nAnswer: -4*x*(x + 1)**2*(x + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10*c + 11*c - 13 = 0, 4*z - c = 5. Suppose 0 = b - 3*l - 567, -3*b - 2*l + 1701 = l. Suppose -m - z*n + b = -0*n, -n + 562 = m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((8\/156)\/(-1)). Solve -15 = -3*d, p = 2*m + 4*d + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8476*i - 8676*i = -7600 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46\/25 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13051212 (base 6) in base 16?\nAnswer: -682b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1685704*x**2 + 60457*x + 4.\nAnswer: 3371408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 3\/5, 1086, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68.2 + -67.7. Let f be (1 - 12\/20)*-5. Which is the nearest to 0? (a) j (b) 9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000355161 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(90\/(-48))*1\/1\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-111 + 111 - 17*v**2)*(-3*v + 4*v - 4*v) - v**3 + v**3 - 2*v**3 in the form t*v + h*v**3 + z + c*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Let s = 3.8 + -4. What is the third biggest value in s, 3, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 + 21 = 0. Sort -1, b, -4.\nAnswer: b, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -4 (c) -3 (d) -6\/7 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 16) in base 15?\nAnswer: e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1208804 and 165197.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from auaudea.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5984786653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6283 - 6210. Solve t*j = 84*j - 88 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 - 2.6096111.\nAnswer: -6.4096111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 - 269. Let u = -1 - 0. Put f, u, -5, 3\/2 in increasing order.\nAnswer: -5, u, f, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -20, -59, -136, -263, -452, -715, -1064?\n\"Answer: -2*b**3 - b**2 + 4*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84272562 a multiple of 3078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4 + w + w**3 + 0*w + 3 - 2*w**2. Let c = 12 - 9. List the prime factors of h(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-854 + 854 - 4384*o)*(o**2 + 3*o**2 - 2*o**2)*(2*o + 0*o - 4*o) as n*o**4 + m*o + g + q*o**2 + s*o**3 and give n.\nAnswer: 17536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1416215442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2392*w**3 + 979*w**3 - 6*w**3 + 322*w**3.\nAnswer: -1097*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1364*u - 278*u + 76*u + 1281*u as i*u + w and give i.\nAnswer: 2443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2192*u - 13846 + 42342 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 7, a: 2}. What is prob of sequence rggr?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*w - 60159 = -343*w + 666*w + 950*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 299048.8 centuries?\nAnswer: 29904880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27458460 <= -27458464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -43. Calculate the common denominator of 425\/40 - 3\/1 and (-1)\/n*(-11 - -149).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 549, 25, 0 in decreasing order.\nAnswer: 549, 25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.79 rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.93, 3\/2, -2\/17, 4, -1 in increasing order.\nAnswer: -1, -0.93, -2\/17, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*1 + (-756)\/63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 + ((-1364)\/(-99) - 5). Sort -6, 5, w in decreasing order.\nAnswer: 5, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 66*f - 2007. Calculate w(30).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/36*-2522 + (-2)\/(-4). What is b rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5 + 2529*n**4\/4 + 10669*n**3 + 148479*n**2\/4 + 40603*n + 7995 = 0.\nAnswer: -615, -13, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + 0 + -2 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -17*n + 64*n - 1. Let k be (-3)\/((-15)\/4 + 0). Find m such that n*m + 0 - 16\/5*m**4 + 0*m**3 - k*m**5 + 0*m**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 42*u**2 - 2. Let g(z) = z**2. Give g(m(f)).\nAnswer: 1764*f**4 - 168*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:11 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.499 + 123783.\nAnswer: 123766.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t*t**1\/t)**(-2\/27) assuming t is positive.\nAnswer: t**(22\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f. Let t(u) = -2*u - 6*u + 6*u. Calculate z(t(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 112525*g**3 + 4*g**2 + 112534*g**3 - 2*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42440111 is divided by 458?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13366 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j*p - 2*j*v**3 + 217*j*v + 23613*p*v**2 wrt v?\nAnswer: -12*j*v + 47226*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:12 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1377, -5499, -12369, -21987, -34353?\n\"Answer: -1374*h**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 2*y + 2*y + (-4*y + 3*y + 0*y)*(79 + 17*y - 79).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 7*u**2 - u + 1. Let n(p) = p**3 - p + 1. Let w(y) = -l(y) + n(y). Find the third derivative of w(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515418169.\nAnswer: 7, 907, 81181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5670 and 4050?\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4611*s - 4606*s = 49, 4*s + 21 = -g - 2*g + s for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*p - 10 + 1, 5*u - 4*p + 40 = 0. Let a(c) = -4 + 2 + 0*c + c + c. Let h be a(3). What is the smallest value in h, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 6:53 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:22 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2382879 is divided by 794291.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/11 + 238*b**4 - 39570*b**3\/11 + 198350*b**2\/11 - 331000*b\/11 = 0. What is b?\nAnswer: -1324, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 11739430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 7*c**2 - 36*c - 18 + 36*c.\nAnswer: -14*c**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, i: 2, f: 5}. Give prob of picking 2 f.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from zzznzzznznzzzzzzznnz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4554, 17876, 40072, 71136, 111062, 159844, 217476, 283952?\nAnswer: 359266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*v + v - 74, 4*i + 180 = 2*v. Suppose v*j - 108 = 91*j. Sort 0, -3\/4, j.\nAnswer: j, -3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 571, 854, 1137?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - 2 - -23) + -33 + 91 + -69\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363, -822, -1579, -2628, -3963, -5578, -7467?\nAnswer: -9624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97882920455517*r**2 + 97882920455517*r**2 + 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 379 + -313. Calculate the lowest common multiple of 78 and x.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 9. Let i be a(-6). Suppose -2*l + 3*g + 15 = -25, 4*l + i*g = 62. Suppose 2*n - 10 + 0 = 0. Solve k = -3*v - 3*k - 9, -l = -n*v + 4*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17141 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 15. Let k = v + -14. What is the nearest to k in -3\/2, 0.4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*w - 155*w + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 565425 and 5775?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -702 - -1325. List the prime factors of q.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3495 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15575.67 millilitres to litres.\nAnswer: 15.57567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-63)*(-93)\/(-217).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4362 = -y - 33669, -9504 = -u + y. Let t = 15490 - u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z**2 - 27 + 27 to b*z**2 + v*z + a and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 428 in -0.5, -1.2, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 4941 + 1681 = 442*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:28 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1164 - 2?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(-4 + 1 + 1)*(-2*k**2 + 0*k**2 + 0*k**2 + (-5*k - 2*k + 4*k)*(-2*k + 3*k - 3*k)).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 - 21. Calculate the remainder when 101 is divided by g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120595 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 - 52440*a**5 + 2*a**4 - 2*a**2 + 209*a - 297?\nAnswer: 240*a**3 - 3146400*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-49)\/14 - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1002014043 - 3?\nAnswer: -1002014050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 85)\/(49 - 58). Let y be (-2)\/(-10) - 196\/(-20). Does y = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let b(f) = 3*f - 1. Determine b(t(r)).\nAnswer: 6*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptjpejjpbpbejjpjutpb. What is prob of picking 1 e, 1 t, and 1 u?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2\/2 + 20*o + 16. Let u(r) = r + 4. Let p be u(-4). List the prime factors of i(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r. Let f(s) = -8*s**2 - 2*s. Let g(a) = f(a) + 2*x(a). Let q(n) = 39*n. What is q(g(i))?\nAnswer: -234*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-8 + -21 - -34).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + y)*(2 + 1 - 6 + (-2 + 0 + 1)*(-1 + 1 - 2) - 3 + 4 + 1 + 2 - 3 + 3 - 5 + 5 - 2 + 5 + 3 - 4 + 1 + 1 + 0) to the form t + j*y and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1854*t = 105439 - 350167 for t.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 27*z - 235. Determine h(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + -5 + 1 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(64) - (sqrt(64) - (sqrt(64) + -2*sqrt(64)) - sqrt(64))))\/sqrt(2))**2 + (6*(-1 + sqrt(2178)))**2.\nAnswer: -2376*sqrt(2) + 78444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 10*s**2 - 182*s + 3335. Let x be f(14). What is a in 0 + 8\/3*a**4 + 0*a**2 + 0*a - 4*a**x - 1\/3*a**5 = 0?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 3*z + z + (-3 + 1 + 4)*(5*z - 3*z - 4*z) + (2 - 3 + 4)*(z - 3 + 3) - z - 4*z + 4*z to the form t + d*z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j + 202. Calculate z(20).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-94)\/(-2) + (74\/74)\/(2\/10) and 548.\nAnswer: 7124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-17 - (-12 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 5*a + 3776*a**2 - 7*a**4 - 3776*a**2 + (3*a**2 + 2*a**2 - 3*a**2)*(2*a**2 - 4 + 4).\nAnswer: -3*a**4 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00148 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 9*f - 10. Which is smaller: f or 2\/409?\nAnswer: 2\/409","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1860 and 9367332.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43 times -12.5\nAnswer: 537.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*k**4 + k**3 - k**3)*(-1 - 1 + 4) - 52*k**4 + 11*k**4 + 11*k - 10*k.\nAnswer: -37*k**4 + k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*a - 10 = 0, -2*p + 0*p - 6 = 5*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/2)*z*z*z))**(-6)*(z**(1\/2)*z)\/(z**(-2)\/z)*(((z*z**0\/z*z)\/z)\/z)**14*(z**(-2\/5))**21 assuming z is positive.\nAnswer: z**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*g = 11, -4*q = -54*g + 53*g + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 33 = -9. Is (-4)\/14 - (z - 38831\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/224 + (-200)\/1600\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 1120477 + 1120477 - 13*y**2.\nAnswer: -13*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/6 in 5, -73, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4516, -1758, 1014, 3806, 6624, 9474, 12362?\n\"Answer: x**3 + x**2 + 2748*x - 7266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-385)\/(-616)*-10)\/((-1)\/8*5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 416 = -13*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 18. Let n = 2225 - 2216. What is the remainder when m is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 66527586 - 66527586.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40632361, -81264729, -121897097, -162529465, -203161833, -243794201?\nAnswer: -284426569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*j + 7*j - 6 = 0, j = 0. Suppose -n + 4*m + 3765 = 0, -4*m - 7329 - 3958 = -k*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2060812383 to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/224*(-7)\/6)\/(1\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2108 and 24366?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2. Let i(a) be the second derivative of 3*a**4\/2 + 38*a. What is n(i(v))?\nAnswer: 1296*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 3*i**2 - 5*i**2)*(-5*i + 2*i + 5*i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 + 87*s - 34. Let g be w(12). Let b(y) be the first derivative of 0*y**3 + 23 + 0*y + 1\/4*y**4 + 0*y**g. Factor b(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 68. Let l(f) = -f**3 + 4*f**2 + 7*f + 1. Let a be l(v). Suppose -a*k + 515 = -1135. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14344, 13816, -1.\nAnswer: -14344, -1, 13816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595 != 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*w**2 + 62*w**2 + 85*w**3)*(31 - 29*w - 31).\nAnswer: -2465*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2. Let f(n) = 2*n**2 + 13*n - 13*n - 4*n**2. Give f(y(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 6) to base 4\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 784311 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: Round -0.04253 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-8) + (-2)\/(-8). Suppose -l*y = d - 12, -2*y + 8 = -d + y. Suppose 0 = -3*h + 30 - 18. Solve -h*z - 2*w + d*w - 6 = 0, 0 = -3*z + 2*w - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75960714\/29 + -2619735. Let c = g + 400. Which is bigger: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g - 4. Let n = -151 - -153. Give b(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g - 8 = -48. Let v(r) = -6 - 5*r**2 + r**2 + g*r**2 - 34*r + 39*r. Determine v(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by -44374\nAnswer: -81\/22187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -253 + 247. Let z be (2\/(-3))\/((-3)\/(-18)). Let c be (3\/z)\/(3\/12). Put -1, c, j in descending order.\nAnswer: -1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 574 + -587 - (-2 + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3 - 34*j**2*l + 20*j**2 - 1894*j + 2*l wrt j?\nAnswer: 6*j - 68*l + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3147570*k**2 - 22*k. Let i(b) = -2*b. Determine x(i(p)).\nAnswer: -12590280*p**2 + 44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -126, -567, -1460, -2955, -5202, -8351?\nAnswer: -12552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5779902453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1660*((-97)\/36 - -2). Let o = b + 1156. Calculate the common denominator of o and -50\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2122535 * 0.081.\nAnswer: -171925.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w. Let d(h) = -8*h + 97. What is a(d(u))?\nAnswer: -8*u + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*h + 535 = -276*h - 830 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1128 - 123. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 + 240*u + 3445200 = 0. Calculate u.\nAnswer: -1740, 1980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6877980 rounded to the nearest 10000?\nAnswer: -6880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1782211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6721921 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.459 - -223.259. Let b = -175 + j. Let u = 47 - b. Is u > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -19*h + 23*h. Let d be h\/13 - (-14 - (0 + 1)). Differentiate -2*o + d*o + 5*o - 8 - o with respect to o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*v + 973*v - 4 + 872*v + 55*v.\nAnswer: 2393*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(3*m**3 + m**3 - 6*m**3 - m**2).\nAnswer: -4*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14074 - -14070. What is the closest to -1\/2 in -2\/7, n, -3.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668322 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211 - 539 + 332 - 6*m**2.\nAnswer: -6*m**2 - 418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3127, 147, -5 in ascending order.\nAnswer: -5, 147, 3127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 0.110258.\nAnswer: -1.10258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 384.000000145 + -384. Round r to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*o - 10. Let t(d) = -d**2 - 25. Let c be t(0). Let h = 10 - c. What is the highest common factor of h and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -71*y - 897. Determine q(-15).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -54.1. Let u = 3.5 + -3. Let r = u + m. Sort 0, r, 2.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -549 and 60.9553056.\nAnswer: -488.0446944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 7. Let b be s(4). Let y(w) = -w**3 + 4*w**2 - w - 4. Let v be y(b). Suppose 0 = 3*o - v*o - 6. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-300)*945\/(-252).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487897 to the power of 1\/2, to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.5112964\nAnswer: 1.0225928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 - 4*m - 1. Let v be z(3). Suppose 2*s - 4 = -i, 4*s - v*s + 2 = -i. Solve -s*h + 24 = 2*t - 6*h, -18 = t + 4*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - 0 - -2) - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 11, x: 1, b: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -20. Let t(o) = o**2 - 51 + 105 + 2*o - d. Calculate t(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5051 in 2.53, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {v: 5, w: 2, u: 3, l: 1, m: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112100322 (base 4) to base 3.\nAnswer: 11122002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 + 4*x**2 + 30 + x**2 + 9. Let j be 3 + (2 - (0 - -5)). Is n(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 30*q**2 - 30*q - 27. Let m be h(31). Let p = 182\/3 - 60. What is the smallest value in p, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*n = 10, -n - 3 = -4. Let s = -4006 + 4009. Solve -3*z + 3*h + 14 - 38 = 0, s*h + 6 = -i*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -2.254?\nAnswer: 1.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1))*z**(-11)*z)\/(z*z\/(z\/(z*(z**(4\/7)*z)\/z*z)*z)*(z**(-6)*z)\/z) assuming z is positive.\nAnswer: z**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31735342 divided by -6\nAnswer: -15867671\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 41. Let n be (-7)\/(-98)*(-2 + -2 + g). Which is the second smallest value? (a) n (b) -8\/7 (c) 2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.257 - 22.4. Let v = 0.767 - x. What is v rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 16 - 5. Suppose -5*q + 5*d - 19 = 21, -32 = 4*q - 2*d. Let b = q - m. Solve -3*y - 1 - 5 = -2*r, 5*r + b*y = -27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*n - 184 - 136 = 0, -3*n + 192 = 3*a. Calculate the lowest common multiple of 56 and a.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b + 10. Suppose -4*x = -x. Let o be t(x). Suppose -9*s - 36 = -o*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 3\/7 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**4 - 125*v + 6*v**2 - 38*v**2 + 125*v wrt v.\nAnswer: 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 = -5*x, -2*x - 11 = -3*r + 1. Suppose d - 4 = -4*u + 14, 0 = d - u + r. Differentiate -6*f**4 - 1 + d*f - 14 - 2*f wrt f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*n*v*y - 7*f**2*n*y - f**2*v*y + 4*f**2*y + 4*f*v*y - 13*n*v + 7*n*y - 2*v wrt f?\nAnswer: 2*n*v*y - 14*n*y - 2*v*y + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41929 and 211462?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 + 24. Suppose 0 = -5*r + f - 21. Let x be r\/(-2)*(-7 + 6). Solve 2*j - 1 = x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700) + sqrt(700) + sqrt(448)\/sqrt(4) - 2*sqrt(21)\/(sqrt(3)*1).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 188575 - 188575.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 6225 = 133*q + 63*q + 69*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 22*t**2 + t - 66. Let w be v(23). Let n(g) = g**2 - 971*g + w*g - 24 + 484*g. Determine n(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 4*a**2 - 5*a + 2. Let k be p(5). Suppose 0 = -k*f - f + 27. Calculate the highest common factor of f and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {r: 4, v: 3, w: 13}?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8213\/2 - 4106. Which is smaller: 2\/115 or u?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 0 + 27)*(-w - 3 + 3) to l*w + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7*p)\/p)\/p*p**(-15)*p assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/8 - (2 + -6). Which is the third smallest value? (a) 2 (b) 13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 17*c - 32. Calculate the remainder when r(6) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f0 + -fe0?\nAnswer: -17d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -65*t**3 + 184*t**2 - 191*t + 7. Give w(1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w - 1. Let s(p) = -3*p**3 + 6*p**2 - 7*p + 4. Determine -6*g(c) - s(c).\nAnswer: 3*c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -19 (c) 1504 (d) -2 (e) -3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 j when four letters picked without replacement from jnravvnjjjnrvjvnvrr.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 30 = 0. Is f <= 16\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*p = 16, c + 10 = -0*c + 4*p. Suppose w - c*w = 0. Suppose q + 2 = w, -7*r + 14 = -2*r + 3*q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 10) in base 7?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1002120112122?\nAnswer: 1002120112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/694 and (-2951)\/(-9716) - (-297 + 284 - 93\/(-7)).\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131452 and 1298.\nAnswer: 1445972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -13*l + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**8\/840 - v**6\/360 + 5*v**4\/6 + 7*v. Let g(n) be the third derivative of u(n). Find the second derivative of g(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7342465, -7342455, -7342431, -7342387, -7342317, -7342215, -7342075?\nAnswer: -7341891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31271 + 15625 + 2596*p + 15646 to a*p + o and give a.\nAnswer: 2596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 39 = -5*v, 118*v - 113*v = 4*p - 31 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1266 + -49396\/39. Find the common denominator of l and -39\/2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 32 = 5*m. Let v = 0.86 - 0.16. Let w = 5.7 - v. Which is the nearest to -1? (a) m (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.4885465 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-20))\/(10164\/(-3465))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 - (-41)\/(-15). Let z(d) = 2*d**2 - 12*d - 786. Let u be z(23). Is u <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -4)*(-2)\/20. Let z = -5\/3 - -59\/39. Put b, 1, z in descending order.\nAnswer: 1, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3 + 4236*a**2 + 8460*a + 4228 = 0.\nAnswer: -1057, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m - 6, 4*a - m = 1782. Suppose 0*t = -5*t + a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 4, 39, 1, 16214.\nAnswer: 1, 4, 39, 40, 16214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 h when four letters picked without replacement from {c: 4, d: 2, y: 1, l: 3, h: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 390*v**2 - 6*v - 5. Let s be y(-3). Suppose 340 = -3*l + s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:27 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1263743833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 w when three letters picked without replacement from {j: 5, b: 3, w: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 3*2\/14. Let q = -24 - -19. What is the nearest to -1 in 0.1, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -142, -496, -1198, -2368, -4126, -6592, -9886?\nAnswer: -14128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 1\/119 (c) -0.2 (d) -11.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6596394 divided by -17.\nAnswer: -6596394\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143891 + 143886. Let w = -1 + 0. Put 4, w, 3, d in descending order.\nAnswer: 4, 3, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*6*-1*(-3)\/18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 101. Let k = o - 114. Let d = 46.95 + k. What is d rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2*p**2 - 9*p**2 + (-4 + 1 + 0)*(0*p**2 - 2*p**2 + 0*p**2) - 4*p**2 + 5*p**2 + 0*p**2 + (p + 3*p - 2*p)*(2 - 2*p - 2) + 4*p**2 - p**2 - 4*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 7*i - 74. Calculate the remainder when 394 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 9*s**2 - 17*s + 7. Let x be p(-10). Suppose 3*h - x = -61. What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 335 - 330. Suppose 7*b - 3*b = v*j + 24, 4*j + 36 = -b. Let q(w) = -11*w - 17. Let r(t) = -4*t - 6. Calculate j*r(p) + 3*q(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-178444)\/(-4) - (-1 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2201 - -2902. Is 69 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39\/8? (a) 1049 (b) -0.1 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 569098 * 4.3\nAnswer: 2447121.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 30 - (-6 + -4 + -10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/24 and -85\/618.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (2*sqrt(2))**2 - (sqrt(2) - (sqrt(2) + (sqrt(2)*2*6)**2))) - (sqrt(162) + (sqrt(162)*2 - sqrt(162)) + 4 + 3).\nAnswer: -18*sqrt(2) + 1473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -28*f**2 + 18*f - 66. Let t(o) = 17*o**2 - 11*o + 34. What is 5*t(k) + 3*z(k)?\nAnswer: k**2 - k - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -4, -2.6, -3, -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3274*j - 506*j - 6808*j + 402 - 402 as r*j + s and give r.\nAnswer: -10588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 533 = 11*i - 4*i, 0 = -4*r + 2*i + 434. Calculate the highest common factor of 675 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -584*i + 1782. Calculate k(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6101742519 - -0.5?\nAnswer: -1.1101742519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92828, 92827, 92826, 92825, 92824, 92823?\nAnswer: 92822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 5*o**2 + 5*o + 2. Let q be w(-3). Let m(c) be the third derivative of c**5\/60 - 7*c**4\/24 + c**3 - 6*c**2. Give m(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 15 - 10*u + 6*u. Let j be o(9). Let t(h) = 170332*h - 4. Let v be t(j). What is v rounded to the nearest 10000?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q - 1. Let x(a) = -2*a**2 - 5*a - 10. Determine -6*b(i) + x(i).\nAnswer: 4*i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r. Let o(f) = -176*f**4 + 6*f**2 + 53*f + 3. Let t(i) = -6*h(i) + o(i). Find the second derivative of t(z) wrt z.\nAnswer: -2112*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(3 + (-18)\/9). Let l(t) be the second derivative of t**3\/2 + 2*t**2 - t. Determine l(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhohoohhohhhhhhhhh. Give prob of picking 3 h and 1 o.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1 + 1)*(-16)\/(-32))\/2. Suppose 3*y - 53 = -b + 1409, 4*b - y - 5822 = m. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + (-111)\/15. Suppose 21*y + 25*y = 55*y - 17*y. Sort y, -1, 2, z in ascending order.\nAnswer: z, -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1\/9, 5, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 6. Let l = 2309\/3 - 11536\/15. Sort -1\/5, v, l in decreasing order.\nAnswer: l, v, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + h = -3*r + 4, 2*h + 4 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 76\/8 + 1\/(-2). Solve 0 = -2*k - 4, k + c*k + 23 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60994334 is divided by 1208.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 17. Let t be l(-8). Let n = 3 + t. What is the second derivative of -2*a**2 + 0*a**n - 11*a + 5*a + 3*a wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - x**3 + x**3 + 8*x**3 + 20 - 20 - x**3 + 0 + 0 + (-2*x**2 + 0*x**2 + 3*x**2)*(-3*x + x + x) to the form z + r*x + h*x**3 + a*x**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 476089 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 5*x - 47 to the form g*x + h and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 417 and 11.\nAnswer: 4587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14716 - 14715.8. What is the second smallest value in a, 1.18, -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.71 - -1.3823.\nAnswer: 25.0923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - b + 28, -2*b + 3*b + 2 = t. Let r(v) be the second derivative of -v**5\/20 + v**4\/2 + 5*v**3\/6 + 3*v**2 - 2*v - 7. Give r(t).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1437404029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(252)*2 - sqrt(252))\/sqrt(12))\/(((sqrt(14) - (sqrt(224) - sqrt(14)))*-5)\/sqrt(2))*3.\nAnswer: -9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1344 + 8098. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/8*j**2 + 723\/8 - 363\/4*j = 0.\nAnswer: 1, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 16.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6480)*-3)\/(sqrt(36) - (sqrt(108) - (sqrt(108) - (sqrt(108) - (sqrt(108) + (sqrt(108)*-1 - sqrt(108))))))\/sqrt(3)).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (13 + -5) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 81. Calculate n(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5564 divided by -13?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, n: 4}. What is prob of picking 1 n and 2 d?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051104122 (base 6) in base 8?\nAnswer: -53774662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 25*p. Let m(a) = 4*a - 13*a + 11*a. Determine m(i(d)).\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwww when four letters picked without replacement from ppppwwppwwpw?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0777 + -0.5777. Let i = -34 + 101\/3. Which is the second smallest value? (a) 3\/7 (b) 0.3 (c) i (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4153 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13688423*z**5 + 2*z**4 - 129584123*z wrt z.\nAnswer: -273768460*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13745 + -13679. Calculate the greatest common divisor of 176 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3592 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*c + 69 - 150 + 72 = 0, -52*w = -3*c + 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by 410195\nAnswer: 224\/410195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 18840286?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1679, -1668, -1657, -1646, -1635?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13557, 13558, 13559, 13560, 13561?\nAnswer: 13562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 47 - 35. Calculate the greatest common factor of f and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13079 or 8873?\nAnswer: 8873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:45 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*i**2*j**3 + 4664735*i**2*j - 1016*i*j**2 - 2*j**2 wrt j.\nAnswer: 1092*i**2*j - 2032*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 66*n**2 - 136*n + 18. Let s be q(68). Solve s*g + 130 = 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12916 + 13048 = -12*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y - 5. What is the remainder when z(4) is divided by -1 + 9 - 5\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 3*m - m)*(-277*m - 244*m + 413*m)*(122 + 43*m - 122) as i*m + f*m**2 + y + h*m**3 and give h.\nAnswer: 4644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5687 + 5710. Suppose j - 3*j = 602. Let u = -117 - j. Calculate the highest common divisor of u and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 7896?\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 6*r + 17. Determine k(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 39*j + 2. Calculate v(23).\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 2\/23 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 51+12.5\nAnswer: 63.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 1:55 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f = -25*f + 3960. Let b = f - -1446. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3664016820.\nAnswer: 2, 3, 5, 59, 345011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 24 + 4 = 0. Let i = -136 - -136.3. Put i, -1, -4\/9, q in decreasing order.\nAnswer: i, -4\/9, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/4 - -6) + 0\/(-7). Let b = l + 2. Solve -3*d - 5 + 0 = 4*s, 0 = -b*s + d - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1886 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136316 is divided by 9082.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2 - 2 - 53*r**2 + 3 + 60*r**2. Is v(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-9)\/(-168))\/(2\/16)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 90 = 4*s. Suppose -s*g - 8*g + 201467 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6060752 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**2\/9 + 34922662*d\/3 + 8730666.\nAnswer: -2*(d - 13095999)*(4*d + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = 5. Calculate the least common multiple of 4\/(-10)*(-22 + 2) and d - (0 + 1 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3*b - 30 = 0. Calculate the common denominator of (3\/16)\/(b\/(-92)) and 41\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:40 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1255, 1257, 1259, 1261, 1263, 1265?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 3*x**2 - 8*x**2)*(-7 + 0 + 1 + (-2 - 3 + 6)*(0 - 2 + 1)).\nAnswer: 70*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/140 - 5*d**4\/7 + 24*d**3 - 224*d**2 - 65*d + 2. Factor m(v).\nAnswer: (v - 28)**2*(v - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.1. Let v be (-10)\/(-10) - (-5)\/(-7). Which is the closest to y? (a) -2 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001100111 (base 2) in base 9?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 16. Suppose 0 = -21*l + 20*l. Suppose 3*z + l*z = 4*z. Solve z = g*a - 6 - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = 8. Sort -1, -5, i, -2 in descending order.\nAnswer: -1, -2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3117 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-21 + 8 - 8) - 0.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 48. Let b be 1*p\/(-2 - -4). Does 16 divide (119 - 6) + 2 + b\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(50)*1)\/(-2*sqrt(360)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 8. Suppose m = -m + x. Let o be (-2 - m\/(-6))*-2. Let h(w) = 4*w + 2. Give h(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 44. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*f + 11 = 0, -2*k - 9 = -4*k - 3*f. What is the smallest common multiple of ((-4)\/6)\/((-8)\/576) and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((i**2 + i - i)*(-5*i - 3 + 3) - 2*i**3 - 2*i**3 + i**3 + (-i - 3 + 3)*(i**2 + 3 - 3))*(-i - 2*i + 4*i).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 224, 85 in descending order.\nAnswer: 224, 85, 10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 2*o + 47, -10*q + 9*q + 4*o = -27 - 28 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.51364 to two decimal places.\nAnswer: -2.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236786 is divided by 381.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:58 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11265*b - 5418*b - 14457 = 5664*b for b.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7899.1302 - 7898. Let p = 1.242 - g. What is p rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 1, c: 4, y: 1, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162756 and 7634?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238176 to the power of 1\/2, to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1\/(r*(r**(-7)*r*r)\/r*r)*(r\/((((r*r**(-3\/4))\/r)\/r)\/r))\/(r*r**(-8))*(r*r**8*r)\/(r**(-2\/11)\/r)*r**(-3)\/r**(2\/9) assuming r is positive.\nAnswer: r**(9389\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 363 - 360. Suppose -4*u = -3*q + 24, 6*u = 8*u + o*q - 6. Which is smaller: -15\/8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -61. Solve 3*q - z = -t, -5*t - 3*q - q + 35 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 3*m - 7*m - 7. Let d be v(-3). Suppose -5*g = -q - d*q - 2, -3 = -3*g. Which is bigger: q or 5\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/((v*v*v*v**9*v)\/v))\/v)\/v)**(-32) assuming v is positive.\nAnswer: v**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/(-84)*63\/(-72)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q = -25, -4*x = -2*q - 34. What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -985.51 from -995050.\nAnswer: -994064.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-48*p - 2240 + 2240).\nAnswer: -96*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2078 is divided by (-27)\/(-90)*10 + 24?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1885, -3589, -5319, -7087, -8905, -10785, -12739?\n\"Answer: -2*o**3 - o**2 - 1687*o - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (6 - (-1 - -5)) - (44 + -87).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 8:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.86705 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 470 - 458. Solve u = 7*u - f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20794173 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**3 - 70*o**2 + 200*o = 0?\nAnswer: 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52819848.\nAnswer: 2, 3, 19, 38611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*5*24\/(-2200). Let t = -38 + 38.5. Put -2, t, 2, n in increasing order.\nAnswer: -2, n, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -148*n**5\/3 - 808*n**4\/3 - 208*n**3 + 1496*n**2\/3 + 2372*n\/3 + 304 = 0. What is n?\nAnswer: -4, -1, 57\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2472481cm to meters.\nAnswer: 0.002472481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1940, -9, 2224 in descending order.\nAnswer: 2224, 5, -9, -1940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:48 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -1021244.\nAnswer: 46\/255311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 83*z + 10. Let n be p(-4). Let o = 619 + n. What is the highest common factor of 33 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - -44. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0.055, -0.1 in decreasing order.\nAnswer: 3, 0.055, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -45. Let c be y + (1 - (3 + -6)). Suppose g = -g + 2*w + 34, c*g - w = 34. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 + 4*m + 1. Suppose -46*f = -10754 + 10478. Let w(z) = -z**3 - 17*z**2 - 9*z - 2. Calculate f*w(t) + 13*p(t).\nAnswer: 7*t**3 + 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6799186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 167692976 and 377309196?\nAnswer: 1509236784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-68)\/6)\/((-2)\/3). Let g(j) be the first derivative of -2*j**3 + 7*j**2 + 1. Let p(v) = -2*v**2 + 5*v. Let l = 13 + -19. Give l*g(c) + w*p(c).\nAnswer: 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**5\/15 + d**4\/4 + 5*d**3\/3 - 2*d. Let u(s) be the second derivative of y(s). What is the first derivative of u(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534 = 857*y - 273*y + 1802 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31007 (base 8) in base 4?\nAnswer: 3020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i**2 - 4*i**2 + 4*i**2)*(820 + 410 + 41) as v*i**2 + w*i + s and give v.\nAnswer: 3813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 146479\/33 + -4440. What is the common denominator of j and 44\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*3\/(21\/(-7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/21 - (-2055)\/35 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2155850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 1. Let t(i) = -2*i**2 + 10*i. Let p(w) = -4*f(w) + t(w). Suppose p(o) = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/6 - (-4)\/12)*47 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ndnddnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 9*d - 10. Let s be w(-7). Suppose 3*t = -3*g - 116 + 596, 0 = -5*t + g + 824. Let b(n) = 1 - 82*n**2 - 86*n**2 + n**3 + t*n**2. Give b(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*a = -4, v - 4*a - 5 = -3*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -405? (a) -5 (b) -0.1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - -0.2. Which is the nearest to -0.1? (a) -4 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25878, -51835, -77800, -103773, -129754, -155743, -181740?\n\"Answer: -4*d**2 - 25945*d + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + 10. Suppose -2*h + 4*h = x. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394 (base 12) to base 13\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + 0*r**3 + 0*r**3 + (196*r**5 - 224*r**5 + 728*r**5)*(1 + 0 - 3).\nAnswer: -1401*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 400294443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/8)\/(29\/(-16) + 2). What is the second derivative of d - 14*q**5 + 2*q + 773*q**4 - 773*q**4 wrt q?\nAnswer: -280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0 = 3*b - 7, 0 = -4*b + 16. Let h(s) be the third derivative of -s**4\/4 - s**2. Determine h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -372, -1066, -2114, -3516?\nAnswer: -5272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, q: 1}. What is prob of sequence qk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/54*-2 + 308\/(-9). Let y(k) = k**2 + 3*k + 3. Let z(w) = 5*w**2 + 17*w + 17. Determine p*y(n) + 6*z(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 47. Let c = k + -31.5. Round c to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m + 2020976*m**3 + m - 226*m**4 - 3*m - 10613*m**2 - 2020995*m**3 wrt m.\nAnswer: -5424*m - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2940 + 2908 - 5848 + 8*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 1539173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 396329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2 + 11. Let a(g) = -24*g**2 + 2. Determine l(a(k)).\nAnswer: 48*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -1) + 10\/8. Let v = 1\/214 - -421\/1498. Let h = 13 + -8. What is the third biggest value in h, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4\/3 + 3*p**2\/2 - 57*p + 4. Let s(o) = -9*o**2. What is t(s(h))?\nAnswer: 324*h**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110000001101011 + -1?\nAnswer: -10000110000001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**3 - 2*s**2 + 1. Let w(r) = 677*r**4 + 16*r**3 - 4*r**2 + 684. Let p(o) = -2*m(o) + w(o). What is the first derivative of p(l) wrt l?\nAnswer: 2708*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 857 - 853. Solve 36 = -s*m + 5*x, 6*m = 2*m - 2*x - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j + 74. Let q(w) = -24*w - 117. Let o(u) = 5*n(u) + 3*q(u). Determine o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:34 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + 1\/(-2). Let a = 24 + -13. Let p(h) = a*h**2 + 3 + 3 - 10*h**2 + 1. What is p(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155049478 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (15 - 12) + (0 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -13, -18, -13, 8?\n\"Answer: f**3 - 4*f**2 - 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -2\/15, 4, -124, -4\/7 in decreasing order.\nAnswer: 4, -2\/15, -4\/7, -65, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-90)*(-42)\/28.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2315*n**2 - 1710*n**2 + 4976*n**2.\nAnswer: 951*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 169189063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-265)\/(-10) - 3)*((-56)\/280)\/((-3)\/30)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*(sqrt(1375) - sqrt(55)))\/sqrt(11) + 0)*-2 + 5.\nAnswer: 5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (-16 + (23 - 11) - -4) + 4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 743182739*h - 2 + 2 - 743182687*h.\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 849\/74 + -70461\/6364. Calculate the common denominator of d and 38\/129.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -1, -27 in decreasing order.\nAnswer: 78, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*i*r**4 - 200*i*r + 6596*i wrt r?\nAnswer: -132*i*r**3 - 200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05 and 7.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 56*c**2 + 339*c - 28. What is the hundreds digit of p(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 + 459 = 7*j. Suppose -y + 3*s + 355 = s, 2*y = j*s + 705. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 974939*g - 974946*g + 77 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 15833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 1:32 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/4)*(j*j**(-3))\/j)\/((j\/j**(2\/13))\/(j**(2\/11)\/j)))**(8\/15))**(-11\/3) assuming j is positive.\nAnswer: j**(1010\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17*o**2 + 4*o - 20. Let v(c) = -35*c**2 + 7*c - 40. Let a(w) = -7*h(w) + 4*v(w). Differentiate a(d) with respect to d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213873650.\nAnswer: 2, 5, 31, 137983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2988\/13 - -230. Which is the nearest to -0.2? (a) -5 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 8*i + i)*(-3*i + 3*i - 2*i**2) + 26*i**3 - 20*i**3 + 29*i**3 to the form d*i**2 + m*i + c + q*i**3 and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r + k - 210 + 215, -k - 5 = -0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 14 + 12 = 0. Calculate the least common multiple of 25 and 12*(-2 - -4) - n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.421 - -247.421. Are 1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15 - (5\/3 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23652016.5 rounded to the nearest 10000?\nAnswer: -23650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 333873793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 4259*x + 18. What is d(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**6\/10 + 29*w**5\/60 + 12*w**2. What is the third derivative of f(t) wrt t?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.046 times -421\nAnswer: -861.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 5*a**2 - 8*a**2 + 6*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -32 - (0 + -5 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38758*x**3 + 3585*x**3 - 126594 + 126594.\nAnswer: 42343*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1004*t**2\/7 + 110568*t\/7 + 1512064\/7.\nAnswer: 4*(t + 16)*(251*t + 23626)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 512 = 807*v - 800*v for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 52 - 10*m)*(-1 + 2 + 1).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.43, -26, -1, -0.04, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13846\/(-989))\/((-14)\/60)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200305 minus 1.2?\nAnswer: 200303.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 601.9072849 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i + 4*i - i)*(-4*i + 3*i + 3*i) + (i - i - 2*i)*(-2*i + 5*i - i))*(25*i - 74*i - 20*i)*(2 + 0 - 3).\nAnswer: 138*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, e: 3, o: 9, n: 1}. What is prob of picking 1 q and 1 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0.1, -7\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -0*a + 30 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 7*c**2 + 9*c + 16. Determine b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*c + 72 = 83*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -194, -659, -1580, -3113, -5414, -8639, -12944?\n\"Answer: -26*u**3 + 6*u**2 - u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -623, -2485, -5609, -10013, -15715, -22733?\nAnswer: -31085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.1 - 5. What is the closest to i in 0.1, 3, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -33. Let z = -5 - s. Let f = 20 - z. Calculate the remainder when f is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**3 - 3*p**2 - 5*p + 2. Let n = 5009 + -5006. What is i(n)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303 (base 5) to base 3.\nAnswer: -21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-54)*8\/10)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/8064 and 113\/7488.\nAnswer: 104832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -2627317.\nAnswer: -30\/2627317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 5*q - 9. Let g = -9 - -15. Is s(g) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**2*v**4 + 207*k**2*v**2 + 15*k*v**5 + 2*v**2 wrt v?\nAnswer: -120*k**2*v + 900*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 - 758*c + 385*c + 371*c.\nAnswer: -2*c - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 35, 2\/3, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -46*a**3 + 4*a**2 + 23*a + 42. What is x(-2)?\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1361, 1313, 1265?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*d + 95623 + 419, 21*q - 504170 = -d. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*l - 3*m, 5*l - m = l - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3896.722us in nanoseconds?\nAnswer: 3896722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + 3*k**2 + 2*k - 4. Let h be x(-3). Let r = h + 137. List the prime factors of r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 12 = -4*l, -l = l + 3*s - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(8\/(-12)))\/(-3). Let d be (0 + r)\/(0 + -1). Let b be (-1800004)\/(-2) - (d - -3). What is b rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9938625, 9938606, 9938571, 9938514, 9938429, 9938310?\n\"Answer: -c**3 - 2*c**2 - 6*c + 9938634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/39 - 4)\/(552\/(-3588))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4179656502?\nAnswer: 2, 3, 7, 43, 771439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1)\/((-6)\/((-84)\/7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 304 - -250. Let q = -553.9999977 + g. What is q rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126683.6658*-0.3.\nAnswer: 38005.09974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let w be ((-6)\/(-8))\/(q\/40). Suppose 5*u - w = 5. Solve -u*m = -5*o - 0*m + 26, -2*m = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -2057?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6139?\nAnswer: 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*o*y*z + 252*a*y + 2*o*y + 48*o*z - 5*y*z wrt a?\nAnswer: -o*y*z + 252*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4110499, 8220925, 12331351, 16441777?\nAnswer: 20552203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 166.\nAnswer: 13446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 298\/455 - 24\/65. What is the fourth biggest value in m, 1\/3, -2.5, -1\/4?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 2*w + 0*w)*(-68*w + 10906*w**2 - 3693*w**2 - 77*w + 145*w) to the form k*w**2 + g*w + p*w**3 + i and give p.\nAnswer: -14426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 316054653 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 429, 599, 733, 825, 869, 859?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1636*s + 748. Let h(y) = 1635*y - 748. Let u(g) = 7*h(g) + 6*t(g). Differentiate u(f) with respect to f.\nAnswer: 1629","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(-1\/2)))*s)\/s)**(7\/11)*s*s**(-2)*s*s*s**(3\/2)\/s)**11 assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6419, -6455, -6491, -6527, -6563, -6599?\n\"Answer: -36*c - 6383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Suppose 167 = 4*p - 141. Let w be ((-198)\/p)\/(3\/(-14)). Solve -3*o - 9 = 0, w = -s*m - 0*o + o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -11 - (-5 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*x + 32*x - 155*x to the form u + l*x and give l.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12831 and 378303?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*y**4*z**2 - y**4 - 59*y**2 + 12*y*z**2 - 3*z**2 wrt y?\nAnswer: 168*y**2*z**2 - 12*y**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -126*h. Let i(m) = 252*m. Calculate -2*i(u) - 5*t(u).\nAnswer: 126*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(17) + -5 - sqrt(17))*3 + ((sqrt(17) + 0)*5 - (sqrt(1377) + (sqrt(1377) + -1 - sqrt(1377) - sqrt(1377)))**2).\nAnswer: -18 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 + 5 + j**3 + 7*j - j**2 + 0. Suppose -5*b + 5*y + 15 = 0, 3*b - 10 = -5*y + 31. What is the units digit of g(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/51 (b) 0 (c) 17 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4\/24 - 7*k**3\/6 - 34*k**2. Determine f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.00523um in meters?\nAnswer: 0.00008000523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-50)*15*(-2)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*g = -380*g + 621*g + 4144 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + r**2)*(-12*r - 22*r + 45*r).\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20378, -40712, -61046, -81380, -101714, -122048?\nAnswer: -142382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673581 is divided by 1582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.92161 + 0.07839. Let z = 0.1 + 3.9. Which is the nearest to 8? (a) r (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10518 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: Is 336 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13*o - 2. Let w = -26 - -23. Let r be 1\/(w*(-4)\/(-12)). What is the least common multiple of 9 and y(r)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 381 = -3*i, -5*i + 678 = 4*m + 168. Determine y so that 28*y**5 + 125*y - m*y - 48*y**2 + 36*y**4 - 160*y**3 = 0.\nAnswer: -3, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2869 and 1812.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1279*u**2 + 11*u. Let t(q) = -256*q**2 + 2*q. Determine 2*i(d) - 11*t(d).\nAnswer: 258*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (4010448\/1040)\/((-3)\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 501 + 0 + (11 - 8). Suppose -7*u + x + 49 = 0. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/r**8)**(-49) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 9*a - 119 = 0, 5*m + 215 = -12070*a + 12072*a for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 422 = -26. Let z be n + (4 - (-4 - -10)). Suppose 4*t = 293 - z. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 8*j + 3. Let i be r(-8). Let q = i - -2. Suppose -4*s = q*c - 36, 5*c - s - s - 42 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.54992cm to kilometers.\nAnswer: 0.0005954992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 717115616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 18*s + 2. Let l be k(-9). Suppose -3*h - 2*h = -3*u - 13, l*u = 3*h - 8. Let o(i) = -193*i - 2. Is o(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.251 - -0.25099853. What is v rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -630603*j - 149189?\nAnswer: -630603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -10 - (-5 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.0005 - -2.7428. Let j = z - -0.0577. Which is the nearest to -0.1? (a) j (b) 5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*y + 11. Let r(l) = -2*l + 3. Is r(y) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/110)\/(((-84)\/(-66))\/7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -3)\/((-4)\/(-28)). Let a(l) = -3*l - 8. Let h be a(x). Calculate the highest common factor of h and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**4 + 2*c**3 - 51*c**2 - 2*c - 2. Let a(n) = -n**4 + n**2 + n + 1. Let w(g) = -2*a(g) - z(g). What is the third derivative of w(m) wrt m?\nAnswer: -168*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -911 (c) -7 (d) 3 (e) -103 (f) 0.5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 28.\nAnswer: -2, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (0 + (-92)\/(-12)). Which is the biggest value? (a) -0.1 (b) 0.05 (c) -10 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307951533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10113042112 (base 5) in base 6?\nAnswer: 1004231132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 578211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + 2044 - 4446 + 2067 in the form h*y + a and give a.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 87*x**2 - 4*x + 5. Let k be p(2). Suppose 0 = -5*r + 2*r + k. Let v = r - 79. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 + 33 + 0)*(624 - 159*w - 624).\nAnswer: -318*w**2 - 5247*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*h - 21 = 0, 3*f - 5*h + 2674 = 2709 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*o + 163*o - 291*o as c*o + w and give c.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*s + 107 + 11262, -2*o = 3*s + 17064. Let b = s - -91019\/16. What is the common denominator of (658\/(-84) - -8)\/3*219 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z**2 + 173*z**2 - 31*z**2 - 38*z**2 - 40*z**2 - 23*z**2 - 7*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-9)\/x)\/x**(-5\/3))\/(x**(-4)\/x*x**9\/x)*(x**8\/(x\/(x\/x**2*x)))\/((x\/(x**(-1\/2)\/x)*x*x)\/x)**43 assuming x is positive.\nAnswer: x**(-923\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(13\/4)*h)\/h**(-11))**30 assuming h is positive.\nAnswer: h**(915\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-360))\/(6\/8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-19 - -4)*-25 + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 2. Let x be b(-2). Suppose 489009 = 3*r - 3*t, x*r = r + 3*t + 815009. What is r rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543572?\nAnswer: 2, 135893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 5*u - 3. Let v be ((-24)\/(-10))\/(8\/20). Give k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -534*q + 4. Let p be o(-7). Let x = 22315\/6 - p. What is the common denominator of x and 69\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - 4) + 17 + -15 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1748.1 - -323333.\nAnswer: 321584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010001010110 (base 2) in base 9?\nAnswer: -161330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/5*(-1)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - (-105 + 55 + -28 - -40)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7731?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 1336*d**2\/7 + 3396*d\/7 + 1080\/7.\nAnswer: 4*(d - 45)*(d - 3)*(7*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*i - 152 = 0, -36 - 76 = -2*u + 4*i. Let b = 52 - u. Suppose 4*r**5 + 3*r + 8*r**2 - 11*r**4 - 16*r**3 + b*r + 5*r + 3*r**4 = 0. Calculate r.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8857 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -8*d + 13*d - 20, 3*d = 4*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, c: 2, j: 4, r: 3, k: 1, u: 1}. Give prob of sequence jkcc.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 8*c + 15*c)*(0*c - 2*c + 0*c) + (3*c + 0*c - 2*c)*(0*c + c + c) - 3*c**2 - c**2 + 3*c**2 in the form b + o*c**2 + n*c and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 28*d**2 + 32*d - 42. Let s be j(29). Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2 + 13*f. Let p(d) = 17*d**2 - 25*d. Let a(k) = 5*j(k) + 3*p(k). What is the second derivative of a(i) wrt i?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*(m*m**(-2\/9))\/m))\/m*m**(-2\/9))**49*((m*m**(-2))**17)**(-1\/4) assuming m is positive.\nAnswer: m**(-179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -628, -1255, -1882?\nAnswer: -2509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*1394673\nAnswer: -27893.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 1 + -2)*-1. Let p = t - -12. Calculate the least common multiple of p and 14\/(-77) + ((-200)\/(-11) - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 5281 + 45 = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 11*l**2 - 2*l. Let n = 103 + -98. Suppose n*u - 56 = 54. What is the smallest common multiple of y(-11) and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -196 - 5b1?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 153 = 7*z. Suppose -5*k + 4*c + 23 + z = 0, k - 7 = 5*c. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from wrhwrrwyhwr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(6\/9)\/((-760)\/(-30))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 + 224 - (-2820)\/80?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 + 25*u**2)*(2*u**2 - 2*u**2 - u**2) + 0*u**4 - 2*u**4 + 5*u**4.\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 265, -6\/7, -3, -4\/19, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1258 (base 9) to base 10.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 9*k**2 - 1893*k - 21062. Calculate f(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 - 3 + 3)*(-4 + 1 + 2) - 4*g**2 + 4*g**2 - 2*g**4 - 33*g**4 - 211*g**4 + 17*g - 15*g.\nAnswer: -247*g**4 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -986657?\nAnswer: -3\/986657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*l + 38, 3*l - 11 = -5*s + 42. Suppose 4*v - 2*g - 4 = 0, -181*v + 5*g + 10 = -177*v. Solve 2*x - s = -v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sussusszsusquzquuuu. Give prob of picking 1 s and 2 q.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*o - 7 = o, 2*o + 16 = 5*f. Suppose -f*x + 14 = x + 4*d, 0 = 2*d - 10. List the prime factors of (-1)\/(-2)*x + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {u: 2, q: 2, p: 1, c: 4, l: 1, x: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.190953 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -14)*4\/(-10). Let y(b) = 5*b + 7*b - 3*b + c. Let h be 29 - (-28 - -52) - 2. Let t(q) = -5*q - 3. Determine h*y(d) + 5*t(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*f = i - 260, -4*f = -3*i + 152. Let j be (i\/(-245))\/(3\/15*-2). What is the closest to 1 in j, 1\/4, 2\/7, -30?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = 3*p - 367. Let c be -1 + 394\/p + 0. Let o = 4\/37 - c. Is o bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 2:29 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1712095*a**2 - 1. Let c(n) = 217*n. What is m(c(t))?\nAnswer: -80620841455*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, l: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11033 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = o + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwggggwwwwggwqggwfw. What is prob of sequence fg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 77*p = -284 - 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1864, -3753, -5644, -7537, -9432, -11329?\n\"Answer: -h**2 - 1886*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 4*v**2 - 27*v**3 + 45*v**3 - 20*v**3 - 15*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - (-4)\/(-14). Let y be -3*(-21)\/(-9) + 11. Suppose -4*h = -h - y*g - 324, -2*g = z. Is h a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 + 7 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -536, -132, 272?\n\"Answer: 404*y - 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-1036)*((-7)\/16)\/(3\/12).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*n + 6149 = 291*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167698196*o**2 + 147722470.\nAnswer: -335396392*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w + 125. Give g(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1. Let s(a) = 2*a + 4. Let c(i) = 4*j(i) - s(i). Let r(n) = 2 - 2 - 2*n. Calculate r(c(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -11*i**2 + 2\/35*i**7 + 0*i - 1\/24*i**4 + 0*i**3 + 0*i**5 + 0*i**6 + 0. What is the second derivative of r(x) wrt x?\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 9. Suppose -5*a + 2 = -7*a, a = j*b - 4031. List the prime factors of b.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16925?\nAnswer: 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 3*m**5 - m**5 + (-2*m**4 + 3*m**4 + 2*m**4)*(-8 + 8 - 2*m).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11654287 >= 11654289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 4\/9, 69, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 52184 and 52185 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 9. Let p = -6 - -8. Let k(o) = p - 2*o + o - 2*o. Give k(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + y + 3 = -0*y - 11, 7*y + 14 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44879.2 and -2.\nAnswer: -89758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**2*u**4 - t**2*u**2 + 428*t**2 + 18*t*u**3 + u**5 - u**2 wrt u.\nAnswer: 72*t**2*u + 108*t + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t - 33*t + 14*t)*(1 - 1 - t**2) + 10*t**3 + 12*t**3 - t**3.\nAnswer: 49*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.799728 millilitres?\nAnswer: 0.006799728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/3 - (2208\/272 + -13). Put 3, c, -1\/40 in decreasing order.\nAnswer: 3, -1\/40, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/14 + 2 + (-32)\/14. Suppose -31 = -a*y + m, -3*m + m + 22 = y. Is (1 + 369\/y)*12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 38. Let b be j(-17). Let z be 9\/5 - 2\/(-10). Suppose -b*c - 164 = z*v - 4*v, -2*v - 2*c = -134. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 470953, 470980, 471007?\n\"Answer: 27*o + 470926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1032330 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7)*294\/(-100)*(-6050)\/(-16940)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/21*6\/(-4). Let f be m\/3 - (-58)\/6. Suppose -3*s + f = -30. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) -0.2 (c) 3\/2 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28633 - 14550 - 14083 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 1. Let d(v) = -v**3 - 7*v**2 + 3*v + 10. Let u(z) = d(z) - 6*o(z). Let x be (0 - 3)*-1*-1. Calculate the remainder when u(x) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79488639 > 397443192\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000537594 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 10*i + 2*l + 8, 2*i - l = 4. Suppose i = -n, m - 3*m + 3*n = -10. Solve s + 4*s - 5*y = 50, m*s + 2*y - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-132)\/18 - -6 - 2261632\/24. What is z rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/47))**(-14)\/(u**4*u)**(4\/19) assuming u is positive.\nAnswer: u**(-1472\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3*j**2*l - 5*h**3*j**2 + 14*h**3*j*l - 18*h**2*j**2*l + 9*h**2*j**2 + h**2*l wrt h?\nAnswer: 18*j**2*l - 30*j**2 + 84*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + -32. Let t = -131.8 - f. What is t rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 4*w**2 + 0*w**2 - w**2 - 2*w**2 + 1. Let k(a) = -a**3 - 3*a**2 + 4*a - 4. What is k(g) + 4*l(g)?\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44854 is divided by 11123?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -6, -10, -14?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, t: 1, q: 2, h: 5, b: 3}. Give prob of sequence hbt.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -25*x**2 - 24*x - 48. Let i(p) = -9*p**2 - 8*p - 17. Let j(r) = 14*i(r) - 5*w(r). Determine j(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.7499837 + 12.75. What is g rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let w = 197.3 + -197. Which is the nearest to -4\/5? (a) -4 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/242)\/((-180)\/(-660)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(-355 - 16*u + 355)*(8 - 2*u - 8).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = 3*m - 20, 5*m + 3*r - 16 = 0. Suppose 2*l = -m*v + 22 + 2, v = -3*l + 10. Solve -l*p + 9 = p + q, 2*q + 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2 + 16*o + 9. Calculate h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64479 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - q + 20407 = -7*z, -2*q + 4 = 0. Let p = z + 44922\/11. Let o = 249 + -793\/3. What is the common denominator of o and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 56*c**2 - 663*c - 225. Give q(-66).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*a - 276 = 0, -x + 148 = x + 4*a. Let j be ((-14)\/x)\/((-2)\/10). Calculate the highest common divisor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - k + 4 = 0, -28*r + 26*r + k = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2012 + -5965. Let q = -1450 - k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 - 6*x - 35)*(-1116393*x**2 + 106 + x**3 + 1116393*x**2) to h + z*x**2 + o*x + q*x**4 + r*x**3 and give o.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49580 divided by -268.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 25*w**2 + 145*w + 525.\nAnswer: -5*(w - 5)*(w + 3)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v + 3*p + 324, -2*v = 3*p - 201. Suppose m - v = g, -m + g = 3*m - 405. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -c - 3*c. Let t be 6\/c - 39\/60. Is 1 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27501, -45550, -63603, -81660?\nAnswer: -99721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-31 - (8 - 15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 5240520*l - 3 + 14.\nAnswer: -5240520*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 282 and 10?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -0.08621.\nAnswer: -0.11379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from {n: 7, l: 3, f: 5, q: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 886*a**3 + 86464*a**2 + 733984*a + 1496064.\nAnswer: -(a - 96)*(a + 4)**2*(a + 974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.658896, 1, -2 in ascending order.\nAnswer: -12.658896, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16122 + 42041. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0948 rounded to two dps?\nAnswer: 3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 831 = 13*o - 6020. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**(1\/2))**1\/((z*z**0)**(-2\/3)*z**(1\/3)\/z**(1\/4)) assuming z is positive.\nAnswer: z**(47\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -37*h**2 - 5*h - 24. Let y be x(-10). Let u = y - -7845. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2. Let o(r) = -68*r. Give f(o(n)).\nAnswer: -32368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Let r = -0.028 + 3.028. Sort 2\/11, g, r.\nAnswer: g, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4298 by 7.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 812\/12581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3381*z + 699887. Determine g(207).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5978883836 to the nearest integer?\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.260584 to 0 decimal places.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4026.112g to micrograms.\nAnswer: 4026112000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*a - 64 = 0, 3*x + 2*a + 2*a + 55 = 0. Let d = x + 10. Is (d - 50)\/((-2)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382906739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274971 is divided by 112?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22795234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*r = -4, 0*r - 3*r = -k + 16. Suppose -2*n + 3*y + 11 = 0, 0 = 2*n + 3*n + 5*y + 35. Let d be (1 - 2)\/(n*(-2)\/(-8)). Solve -4 - k = -d*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 82. Suppose -5*w = -q*l - 90, -4*w + 72 = -3*l - 2*l. Suppose -2*i + 167 = 27. What is the remainder when i is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -601 - 2?\nAnswer: -603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -1. Is 1\/(1*y\/(-68)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75017, -300832, -677199, -1204124, -1881613, -2709672, -3688307, -4817524?\n\"Answer: -a**3 - 75270*a**2 + 2*a + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 5. Let u = 10.5 + q. Put 1\/3, -4, u in decreasing order.\nAnswer: 1\/3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 v when four letters picked without replacement from vdddvdvvvvdvdvvmddv?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22 - 0 - (10 + -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1057939\/56 - 18891. Calculate the common denominator of 9\/(-42)*(0 + 64\/(-9)) and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205978 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 10)\/((-1)\/(-970)). Are -970 and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1648044 and 2563624.\nAnswer: 23072616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 460.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 58. Let n = m - -46. Calculate the remainder when 31 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -0.134858?\nAnswer: -0.334858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.23 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + z + 1. Let u(y) = 15*y**2 + 9*y + 3. Give -5*t(p) + u(p).\nAnswer: 25*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -146.6. Which is the smallest value? (a) f (b) 2 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-22)\/40)*36\/(-450)*10\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*1960\/112 - 39?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b9 (base 14) in base 11?\nAnswer: -14a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 2. Let g be f(-2). Let c(a) = -a**2 + a + 16. Let w be c(4). Suppose -w*t + 2*k + 16 = 0, 2*k + 1 = -t - 0*k. Solve 9 + g = t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:28 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5083179061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 - 131. Calculate the remainder when 6 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 82. Suppose x*t + 5*w - 665 = t, -5*t + 641 = -w. Let r = t + 40. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307285.\nAnswer: 5, 11, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**2 + 3*y + 14. Let b(t) = -5*t**2 + 3*t + 6. Calculate -4*a(p) + 9*b(p).\nAnswer: -9*p**2 + 15*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 102 - 20136?\nAnswer: -20034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2 + 4*r + 4. Let f(c) = 4*c**2 - 3*c - 3. Let z = -17 - -21. Let g(n) = z*f(n) + 3*d(n). Let i(y) = y**2. Determine g(i(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/45*3*3\/(-2). Suppose -66 = -22*m - 0*m. Sort m, 4, -13, i in decreasing order.\nAnswer: 4, m, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, a: 1}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 73*t**2 - 219*t + 677. Determine c(-76).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 - 3*q**2 - 6*q - 11. Let i = -159 - -157. Let w be x(i). Solve -4*s + 2 - 4 = 5*b, 5*s - 3*b = -w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1004674, -2009312, -3013948, -4018582, -5023214, -6027844, -7032472?\nAnswer: -8037098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is e2 (base 16) in base 12?\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-2 + -2))\/((-2)\/44). Suppose -p*s - 8 = -26*s. Factor 0 + 4\/5*i - 6\/5*i**s + 2\/5*i**3.\nAnswer: 2*i*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 1:32 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (144482 + 3*g - 71134 - 71879)*(2*g**3 - 3*g**3 + 2*g**3) + 2*g**4 + g**4 - 2*g**4 as s*g**3 + r*g**2 + q*g + m*g**4 + x and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -204 and -202 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31376154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by 6.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -21 (b) -1\/39 (c) -1\/12 (d) -0.4 (e) 2 (f) 0 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8\/36*27\/(-36).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**3 + 5*a**2 + 6734*a + 31327?\nAnswer: -9*a**2 + 10*a + 6734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**3 - 22105592*w**2 + 30541074854404*w = 0. What is w?\nAnswer: 0, 2763199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l + 3. Let t be (-216)\/(-28) + l\/7. Let p be -8 + t - (0 + 0). What is p rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y + 33*y = 62. Let t = y - -18. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2018, 7732, 17254, 30584, 47722, 68668?\n\"Answer: 1904*h**2 + 2*h + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 214592\/(-2395)*10\/12*(-12)\/(-8).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017\/6*(-64)\/(-24) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12462.066 months to years.\nAnswer: 1038.5055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*c + 5*i, 4*i + 48 - 28 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j. Let i be -2*4*((-570)\/40 + 14). Let y(l) be the second derivative of 0*l**3 + 0*l**i + 7*l + 1\/12*l**4 + 0. Calculate y(z(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -e7 (base 15) in base 10?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-4 + 9 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(245) + (sqrt(245)*1 - sqrt(245)) + -1*(sqrt(5) + -1)))**2.\nAnswer: 300*sqrt(5) + 4520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/390 + (-359)\/156.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/9 + 34*g**4\/9 - 26*g**3\/3 - 394*g**2\/9 + 608*g\/9 + 520\/3 = 0. Calculate g.\nAnswer: -2, 3, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(4 - 4 + 6)*(-8*t - 3*t**2 + 8*t)*(4 - 5 - 4)*(0 + 14*t - 3 - 17*t).\nAnswer: 270*t**3 + 270*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhkh. What is prob of sequence hkh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 5*q + 24. Let k be t(-8). Let i be (2 + k)*21\/14. Let h(b) = -b. Let z be h(-2). Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k**2 - 118452 + 118452 + k**3 + 47*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqfqffffqfff. What is prob of picking 1 q and 2 f?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/238 and ((-5)\/4)\/(20\/(-140))?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100001110001101111011 (base 2) to base 8.\nAnswer: -64161573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)*18\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26531 - 4*r + 26531.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o - 5 - 718*o**2 + 3 + 719*o**2 + 2.\nAnswer: o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1617 divide 14847294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 72, -0.3, 4, -37, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - (-7)\/3. Find the third derivative of -c**s - 3*c**4 - c**4 + 0*c**2 wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -10. Let h = f + 10. Let x = h - 1. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -325 - -186. Let n = w + 140. Let s be (1\/(-3))\/(1\/4). Which is the closest to n? (a) s (b) 3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q - 7\/24*q**4 + 0 - 1\/6*q**3 - 7*q**2. Differentiate w(i) with respect to i.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162710 rounded to the nearest one thousand?\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -5, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -46)\/(-6*(-5)\/(-100))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/718 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 - 0.01. Suppose -5*i - 20 = 0, b - 3 = -0*b + i. Sort b, a, -0.4 in ascending order.\nAnswer: b, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i. Let b be k(5). Suppose t = 4, 83*t - 81*t = -4*h - 24. Let n be 1391\/52 + (22\/h - -3). What is the greatest common factor of n and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15275*x - 73670 - 73669 + 147339 in the form d + g*x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 y when three letters picked without replacement from aiyuiaiyjye.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*s - 919*s + 210*s - 138*s - 680*s + (-4*s + 5*s + s)*(0 + 3 - 1) + 2*s - 3*s + 3*s.\nAnswer: -1390*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1142, -131, -1, -2 in increasing order.\nAnswer: -131, -2, -1, 1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:45 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (173 - (35 + 8)) + -4 + 0 + -3\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1508 + 237*v**3 - 698 + 1117 - 1123*v**3 wrt v?\nAnswer: -2658*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:27 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + 4) - (-26 + (-18 - -33))) + 54?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 p when three letters picked without replacement from ddddpdddddppdddd?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:13 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121604531507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 62. Solve 0 = 2*l + m*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5101 + -5100.7. Let z = -0.9 + -0.3. Let m = z + 0.2. Which is the nearest to 3? (a) 0.1 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 5) + 9 + -5 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-99) - ((-172)\/(-36) - 5)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92049.98 grams to milligrams.\nAnswer: 92049980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c. Let f(g) = -21*g + 22. What is q(f(i))?\nAnswer: 63*i - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.036 + 163.964. Let a = 168 - x. Let b = -0.7 - 0.3. Sort b, a, -1\/7, 1\/8 in decreasing order.\nAnswer: a, 1\/8, -1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -421421 and -421765 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - 1010?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1404 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 708 = -4*w. Is w at most as big as -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-615)\/(-28) + (-16)\/(-56) and 81\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1474 - 1472. Which is the closest to 0.7? (a) 0.14 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/3 + 32*p**2\/3 + 107*p\/3 - 140\/3 = 0.\nAnswer: -28, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 + 36 = -119*b + 99*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-200)\/(-12))\/(((-56)\/(-21))\/8). Suppose n - 3*m + 53 = 0, -6 - 4 = -5*m. Let z = n + j. Solve h - 2 = -0*h + z*u, 0 = -2*h - 4*u + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*-4*(sqrt(147) + -1 + -2 - (sqrt(147) + (5 + (sqrt(147)*1 - sqrt(147)) - sqrt(147))))**2.\nAnswer: -8440 + 4480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -50 + -5 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 32*a**4\/7 - 214224*a**3\/7 + 2672594*a**2\/7 + 196638*a + 173732\/7 = 0.\nAnswer: -1\/4, 13, 6682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -7 - 81. Let z = 3 - 13. What is the smallest common multiple of 2 - 144\/60*z\/3 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 3552.\nAnswer: -1420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -240373\nAnswer: -8\/240373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 794 = 2204. What are the prime factors of y?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345884960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.19 + 0.01. Let w = i + -2.3. Which is the third smallest value? (a) -4 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/3)*l)**(1\/8)*(l**(-1\/2))**23 assuming l is positive.\nAnswer: l**(-269\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 567632398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j - 20. Let u(p) = -p - 4. Let k(d) = 5*u(d) - v(d). Let l(m) be the second derivative of m**4\/12 + m. Give k(l(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(7\/(-2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 902, 1353, 1804?\nAnswer: 2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 846 + -845.9. Sort 0.287, v, 0, 0.5 in ascending order.\nAnswer: 0, v, 0.287, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3189*u = 9978 + 22523 - 3800 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 1\/20*w**5 + 80*w**2 - 33\/10*w**4 + 64*w**3 - 206*w + 0. What is l in d(l) = 0?\nAnswer: -2\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -128*t - 14. Let q(g) = -85*g - 9. Calculate -8*q(y) + 5*u(y).\nAnswer: 40*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101111000001110001110 - -101?\nAnswer: 10001101111000001110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 0*t**2 + 5*t**2 + (-2*t**2 - t**2 + t**2)*(0 - 3 + 1).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 175872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2322*k = 39*k + 47943 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 12:45 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1. Let p = -3 - -5. Suppose -k + 4*c - 6 = 0, -5*c = 3*k + 1 - 17. Let t(x) = -7 + p*x**2 + x**2 - k*x**2. Determine t(h) - 6*v(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 100021220022120 (base 3) in base 6?\nAnswer: 253503153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/16612218 and 23\/13843515.\nAnswer: 83061090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 378038.95608224 from 0.5.\nAnswer: -378038.45608224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8168 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 28\/24)\/(98\/(-272743212)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 4*w + 3. Let g be v(2). Let y(l) = g + 7*l + 4*l**2 - 3*l**2 - 2*l**2. Let z be y(7). Is 7 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = 18 + 32. Put 3, -39, -3, b in descending order.\nAnswer: 3, -3, b, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2480 is divided by 208?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**5 + 508*l**4 + l**3 - 1425*l**2 - l - 19 wrt l?\nAnswer: -600*l**2 + 12192*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uviuawiarairiivriw. Give prob of sequence rur.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14 and 2 + (-3513)\/1377 + 120\/270?\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saal when four letters picked without replacement from {x: 2, t: 2, s: 4, l: 1, a: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(539))*6 - sqrt(539)) + -3)**2.\nAnswer: -630*sqrt(11) + 13556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 8. Let z be o(6). Let d(v) = v - 2*v - v + z*v. Calculate d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10982\/161 - 1582\/23. Is l > -0.0116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954229 is divided by 55835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:19 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -85. Is -3*p\/54 - 236\/(-9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 543*v**2 + 8191*v - 8191*v to d*v + b*v**2 + z and give b.\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34\/5 of a minute?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2084377 rounded to 1 decimal place?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-1206)\/48 - (-6 - -1)) + (-507)\/1352)\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 13. Let r = j + 8.45. Round r to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 330, 351, 386, 441, 522?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - ((5 - 3 - 12) + -157 + 160)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 589790*l**2*m - 2*m + 61523 wrt l?\nAnswer: 1179580*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + 369\/(-15). Let y = -31061\/95 - -5760\/19. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) - (-68)\/18 - -24. Let w = -7 + j. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276 - -278. Let o(w) = -w**3 - 21*w**2 - 18*w + 40. Let n be o(-20). Solve -6*s - f*s + 24 = n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-32)\/((128\/5968)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9415 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 15872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*15 - (1 - -35 - (-21960)\/360)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32360657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007018433 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -148 - 101689?\nAnswer: -101837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 15. Let k(t) = -1 - 6 - n*t - 3. Let u(a) = 912*a - 7289. Let r be u(8). Let i(j) = 3*j + 3. Determine r*i(q) + 2*k(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(315) - (sqrt(315)*1 + sqrt(315))))\/(sqrt(80)\/sqrt(4) + 2*sqrt(5)*6).\nAnswer: 15*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (501\/(-15) - -1)*4*75\/(-90). Solve -101 - 331 = -t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let s be v(-8). Let o be 6\/s + (-8)\/(-6). Solve 0 = -4*u - 3*g + 2 - 1, -5*u = -o*g + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195100 and 146325.\nAnswer: 585300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by -2792?\nAnswer: 49\/1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -47*r**2 - 16*r - 6. Let t(j) = -41*j**2 - 15*j - 5. Determine -5*l(y) + 6*t(y).\nAnswer: -11*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 37 = -5*n, -26899*m = -26898*m + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 + -9 - 9) + 81 + -8.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 14. Calculate the least common multiple of 20 and g(8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 159, 27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46453 = 16*y + 11589. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 - 1 = 0. Let y be b\/(-4)*(-12 - -2). Let h = y + -10. Solve -2*v + 0*v + h*i = -6, 2*v = -4*i + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h - 295 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:23 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddls when four letters picked without replacement from {s: 1, l: 1, a: 1, e: 1, y: 6, d: 6}?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2388 - v**2 - 2369 + 4*v**2.\nAnswer: 3*v**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16761 + -35501. Round u to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/8)\/((-1)\/68). Suppose -5*c + 136 = 4*f, 0*c + f = 3*c - n. Calculate the remainder when c is divided by 20\/(-4)*1*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 27951?\nAnswer: 83853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z = 3*t - 43*z + 35, 10*t - 5*z - 35 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8070973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 221.375\nAnswer: 221.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da3567 (base 14) to base 6.\nAnswer: -422142343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-39))\/((28\/(-4))\/7)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4583.20742 rounded to 0 dps?\nAnswer: 4583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(sqrt(7) + (6*sqrt(49)\/sqrt(7) + sqrt(7) - sqrt(7))))**2.\nAnswer: 56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from iihh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/4 + k**3\/3 + 2*k**2 - 3*k - 234. What is l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -932*r**7\/7 + 122*r**3 - 1125. Find the third derivative of p(z) wrt z.\nAnswer: -111840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 6*b + 12. What is u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -27*w + 86. Let y be l(3). Suppose 0 = -4*n + 2*n + 40. Calculate the highest common factor of y and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6990425 millimeters in centimeters?\nAnswer: 0.06990425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8944*f**4 - 7019 wrt f.\nAnswer: -35776*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32136\/54 - 10\/90. Let s = 1003 - f. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/73834 and 23\/828704?\nAnswer: 55523168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145218431.\nAnswer: 4013, 36187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 2885*x**3\/2 - 520562*x**2 - 519841*x\/2.\nAnswer: -x*(x + 721)**2*(2*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 10) to base 14.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*s - 40 = 0. What are the prime factors of 259 + (1 + -1 - s)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 - 6*z**2 + 4*z**2 + (0*z + 2*z - 7*z)*(-2 - 2 + 6)*(-z - 8*z - 6*z).\nAnswer: 151*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36745*z + 183 + 22*z**3 - 21*z**3 - 36745*z.\nAnswer: z**3 + 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3986*w + 15937. Determine c(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47 + 47 - k + (3*k + 139 - 139)*(0 + 4 - 3).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1010 + -1005. What is the remainder when 115 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**3 - 17*x**2 - 4*x - 4. Let v(h) = h**3 - h**2 - h - 1. Let p(m) = -r(m) + 4*v(m). What is the third derivative of p(i) wrt i?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*x**2 + 31*x + 3*x**4 - 85*x**2 + 15*x - 6*x wrt x.\nAnswer: 36*x**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -45 - -20 - -25.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Let x be 23346\/675 + -33 - (-4)\/50. Let v(o) be the first derivative of 0*o**2 - x*o**3 + 0*o - 6. What is v(s(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 12, -3*u + 4*f = 2*f - 12. Let o(s) = -1. Let v(k) = -k + 1. What is u*v(r) + 4*o(r)?\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -167. Suppose -2 = -q + 4*y, 0*y = s*q + 3*y - 4. Solve -4*i - q*h - 9 = -7*h, 5*h - 4 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 13*t + 22. Let j be y(11). Suppose 4*s = -j*s. Is -1\/3 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264\/763 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 572 and 1.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-20))\/((-66)\/(-924)). Let s(v) = v**2 + 0 - 3 + 6*v - 5. Let l be s(-7). Which is the second smallest value? (a) l (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21414 + 184237. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/4 - 677*m\/4 - 22092 = 0. Calculate m.\nAnswer: -112, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016381 rounded to four decimal places?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 20*m**2 + 22*m + 16. Give f(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(1573) + 1 + -2 - 2*(sqrt(1573) + -1 + sqrt(1573)*-4))**2 + -3.\nAnswer: 924*sqrt(13) + 77107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:13 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + ((-3)\/9)\/(13\/(-195)). What is the tens digit of 7\/(2766\/1380 - (m - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98941773, -98941775, -98941777, -98941779, -98941781, -98941783?\nAnswer: -98941785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 6*d + 0*d + 2*d**4 + d**2 + 2*d**2 as r*d**3 + v*d**4 + x + h*d**2 + t*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -68. Let w = t + 13. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + -35*690\/(-1050)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (2 - 3) + -8. Suppose 0 = -5*k - 18*k. Calculate the remainder when 70 is divided by 2*3*(k - p).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k - 5*s - 7, 4*s - 1 = -3*k. Suppose 0 = -k*d - 0 - 3. Suppose -3*q + q = 8. Sort 4, d, q in descending order.\nAnswer: 4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/50129 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4121, 7, 8.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 2485623393?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26443951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2224804, -2224803, -2224802, -2224801, -2224800, -2224799?\nAnswer: -2224798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2404*v - 2379*v = 400 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2240 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 5*x - 3. Suppose 4*z + 6 = 2*o, -3*o = -4*z - 14 - 3. Let i = o + -15. What is the units digit of w(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + (-5 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207 or -93?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*k**3*n**3 + 3*k**3*n - k + 12*n**3 + 6*n wrt k.\nAnswer: -120*k*n**3 + 18*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8148, -25, -3, 22 in ascending order.\nAnswer: -25, -3, 22, 8148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 41. What is i(-21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18153 - -0.94?\nAnswer: -18152.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-80104)*-76*-697.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k + 1)*(7*k**4 - 17*k**4 - 15*k**4).\nAnswer: 50*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 0.091664.\nAnswer: -0.5, 0.091664, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(-l + 4*l - l) - 3 + 9 + 2383*l - 2338*l)*(0*l**4 - 2*l**4 + 0*l**4).\nAnswer: -98*l**5 - 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 32. Let c be -10 + 8\/(-6)*27\/(-18). Let k be g(c). What are the prime factors of -4 - (k - -3)*2?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86*(2860\/104)\/(-55)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1437 = -p + 466, -5*v + 15 = 0. Suppose -448 - p = -4*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 80. Solve 2 = 3*s - r + 6, -q*s + 2*r = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 4703, -5\/4?\nAnswer: 4703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*c - 254*c - 3452650 = 0. Round c to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1706, -3415, -5124, -6833?\n\"Answer: -1709*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1098.14 - 1098. Let y = 245.86 - 248. Let k = h + y. Sort k, -0.03, 2\/3 in ascending order.\nAnswer: k, -0.03, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s - 37. Calculate c(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 12 (c) -8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169 - 173. Suppose 9 - 3 = 3*w. Let l = 1 - w. Which is the second smallest value? (a) 2 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 488*w**2 + 1708*w + 55811. What is r(-247)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 50 = 16. Let d be 4 + 14\/(-4) + h\/4. Let y(s) = 2*s + 1. Let b be y(1). Sort 0, d, b, -2 in decreasing order.\nAnswer: b, d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3 + (4 - 3 + 1)*(0 + 0 + 1) - 1 - 4 + 2)*(177*y**2 + 174*y**2 - 524*y**2).\nAnswer: -346*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:51 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3 - 5*m - 23 + 14*m**2 + 5. Let s(f) = -5*f**2 + 2*f + 7. Let x(h) = -6*n(h) - 17*s(h). Let u be x(3). Solve -4 - 4 = u*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-120))\/((-16)\/(-30)) - (-21 + (-861)\/(-42)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.01806.\nAnswer: 0.05418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 5*s, -5*s = 5*f - 10*s + 20. Let g(a) = -a**3 - 7*a**2 + 3*a - 10. What is g(f)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3\/7, -8.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/7 + 1416*s**2 + 19818*s\/7 + 9908\/7 = 0. Calculate s.\nAnswer: -4954, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (0 + -2)\/(-2). Let g(t) be the third derivative of 9*t - 1\/12*t**4 + 17*t**2 - 2\/3*t**3 + 0. Determine g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 187*o - 192 = -35, -4*s + 2*o + 3368 = 3346 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2710058044 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111400652119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 7*q + 8. Let u be t(8). Calculate the remainder when 128 is divided by 0 - (u\/(-3) + -33).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/27*(-5538)\/(-35997)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*-3*(-22524)\/(-810). Let u = 213\/5 - b. Calculate the common denominator of 23\/2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -53*k - 11. Let g(t) = 80*t + 16. Give 5*g(v) + 7*n(v).\nAnswer: 29*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -38 - 26) + (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4987 + -4986.5. Put 42.5, w, -4, -3, 0 in ascending order.\nAnswer: -4, -3, 0, w, 42.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 4*u**2 - 2*u + 5. Determine k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 at least as big as 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 - 1821*r + 167.\nAnswer: -1821*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6586155 (base 9) in base 5?\nAnswer: 1401302014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/15 - (-10)\/(-25). Suppose -g = -q*g - 3*y - 2351, 2*g = 4*y - 4732. Let o = g + 3447. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-160*s - 164 + 164)*(0*s**2 + 10*s**2 + 5*s**2) + s**3 - s**3 - 4*s**3 in the form m*s + l + h*s**3 + a*s**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85815.49kg to grams.\nAnswer: 85815490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84f23 (base 16) to base 13.\nAnswer: -160b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400 + 259. Let a = y + 419\/3. Let b(o) = 133*o + 1207. Let s be b(-9). Is a smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*f**4 - 246*f**2?\nAnswer: -1896*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/26 - 6048\/(-104)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-8)*f)\/f)\/f)\/f**11)\/(((f**(-13\/2)\/f)\/f)\/(f*(f**(-5\/4)\/f)\/f*f)) assuming f is positive.\nAnswer: f**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*j - 1335 + 1740 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -69*l**6\/2 - l**5\/5 - 334*l**2 + 842. What is the second derivative of w(i) wrt i?\nAnswer: -4140*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 6*d - 6. Let c be p(5). Let b = 2.8 + -3. Let t = 0.2 + b. What is the second smallest value in c, -5, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/3)\/(4\/(-6)). Let b = z + 10. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2205\/4410)\/((-1)\/(-72)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.48596717 rounded to 2 dps?\nAnswer: -16.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-30) + (16\/(-10))\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 20*t - 59. Calculate d(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -1\/10511?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 512 divided by -128\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1872)*1 - (5 + sqrt(1053) + 1)) + -5)**2.\nAnswer: -594*sqrt(13) + 9598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9737, 39032, 87851, 156188, 244037, 351392, 478247, 624596?\n\"Answer: -s**3 + 9768*s**2 - 2*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21280 is divided by 10372?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 153150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 4:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/60 + 7*q**4\/24 - q**3\/6 + q**2. Suppose -8*r = 71 - 15. Let s be u(r). Which is greater: -2\/5 or s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 - 4*s - 2. Let i be q(4). Let n = i + -76. Solve 5*z + 3*v - n = 2*v, -5*v + 10 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*v - 16, -12*v + 13*v - 3 = 0. What is the least common multiple of 4 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-0.5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p**(-4\/5)*p)\/((p*p*((p**14*p)\/p)\/p)\/(p*p**(-11\/4))) assuming p is positive.\nAnswer: p**(-251\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15619 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -304 (b) 1 (c) -0.3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g - 3. Let c be i(-2). Let w = -3 - -6. Suppose 3*s - w = 3. Solve -20 = -4*h, -s*x - 9 = -c*x - h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66389, -66129, -65403, -63971, -61593?\n\"Answer: 40*m**3 - 7*m**2 + m - 66423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 2*b**2 + b - 2. Let r be w(-3). Suppose -40 = -0*i - r*i. What are the prime factors of 776\/40 + (-4)\/i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3056394 divided by 92618.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 32.85, -1, 3, -48?\nAnswer: 32.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*z + 22, -36*l + 6 = 2*z + 36 + 68 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 42, 67, 92, 117, 142?\n\"Answer: 25*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -17)\/((-1)\/2). Let k = -1003 + 1011. What is the highest common factor of k and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118052 to the nearest one thousand.\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23052981, 23052951, 23052903, 23052837, 23052753?\nAnswer: 23052651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 71*u + 11 - 70*u + 3. Determine s(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*s + 306*s + 165*s + 130*s - 19359 = 0 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 396 + -398. What is the closest to 0.1 in -4, 12, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940396953 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: Let r = -6 - -5.7. Let o = 1.9 - 0.9. Let u = -927.8 - -928. What is the nearest to o in r, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 2. Let c = 4 + -4. Let k be b(c). Solve -4*r + 2*r = k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283991.4 nanoseconds to weeks.\nAnswer: 0.0000000004695625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 29655991875*u**2 - 9544800*u + 768 = 0.\nAnswer: 16\/99425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.167 + -0.823. Let k = i + 12. Let g = 0.51 - k. What is the third smallest value in 4\/9, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253 - 402 + 257)*(-3*u**4 - 8*u**2 + 8*u**2).\nAnswer: -324*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.49 - 0.49. Let u = w + -33.06. Let z = u - -4.06. Which is the nearest to -1\/2? (a) 2\/13 (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 32. Let o be f(-3). Suppose 120 = 4*v + o. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-123483)\/(-4) - (-3060)\/1360 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 2*u**2 + 3*u - 2. Let q be y(-4). Let z(h) = 32*h**2 - q*h**2 - 28*h**2. Let x(r) = r. What is z(x(d))?\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**5 - 627*t**4*w - 4*t**2*w - 39*t**2 - 3*w wrt t?\nAnswer: -180*t**2 - 15048*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -33 - (2 - 2 - -3)) + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/15 - (12\/3 + -3). Which is the nearest to 0? (a) h (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 12*g - 4. Suppose g*j - 80 = -j. What is the smallest common multiple of j and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1 + sqrt(144))\/sqrt(6))\/((-1*sqrt(36))\/sqrt(3)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -58. Let r = -62 - w. List the prime factors of r\/(-9) + (-3)\/9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32224)\/(-20140))\/((-4)\/245).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1990 = 5*z - 1130, -z - 5*p + 597 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2545150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 15 = -a, -3*a - 10 = -h - 2*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -246, -200, -116, 12, 190?\n\"Answer: a**3 + 13*a**2 - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-9)*g)\/g)\/g)**(5\/3) assuming g is positive.\nAnswer: g**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:26 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -6*x**4 + 124*x**3\/5 + 6*x**2\/5 - 84*x\/5 - 16\/5 = 0.\nAnswer: -2\/3, -1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2337317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose -r + 2*a + 20 = a, 0 = -d*r + a + 86. Calculate the remainder when r is divided by (-1)\/((-125)\/30 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Solve 4*m = 14 + h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -206*w**5\/5 + 364*w - 508. Find the first derivative of f(s) wrt s.\nAnswer: -824*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6)*7\/(-1) + -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -18.3 (b) -1 (c) -11.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1602 - 986. Calculate the remainder when 45 is divided by p\/52 - -1 - (-6)\/39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*d = -210 + 248, 4*b = 7*d - d + 146 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 192, 240, 206, 72, -180?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822.4244 micrometers to kilometers.\nAnswer: 0.0000008224244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from pgvpfvdddfdp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/3 + 1858*h**2 + 11166*h + 16758 = 0. Calculate h.\nAnswer: -3, 2793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1760 = 2*d, -13*d - 1056 = -3*q - 10*d. What is the remainder when q is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.43433ml to litres.\nAnswer: 0.01043433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**3 + 1836*a**2 - 842724*a = 0.\nAnswer: 0, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i*o**4 - 5*i*o**3 + 265231*i + 15956*o**4 + 2*o**3 + o**2 wrt o.\nAnswer: -48*i*o - 30*i + 382944*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 47*l**2 - 167*l + 166. Give f(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14112247 + -0.1.\nAnswer: 14112246.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2 + 13 - 3 + 25 - p. Let r(k) = 2*k. Determine o(r(h)).\nAnswer: -2*h + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439 = -17*l - 160 - 126 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 2*c**2 - 2*c**2 + 2*c - 2*c + 2*c**2 + (5*c**2 - 3*c**2 - 3*c**2)*(0 - 3 + 1) - 4*c**2 + 2*c**2 + c**2 + 2*c**2 + 0*c**2 + 4*c**2 + 2*c.\nAnswer: 7*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45 + 44)\/((-1)\/223). Let z = t - 102. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -712 - -1402. Let v = 659 + t. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 25*a**4 + 30*a**3 - 11*a**2 - 12*a + 4 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(176)\/sqrt(4))**2 + -5*sqrt(11)*3 + (sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*2))*-3 + sqrt(99))\/(sqrt(27)\/(sqrt(12)\/sqrt(4))).\nAnswer: -7*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 225\/(-10) - (-3)\/2. Let m = -6 - v. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 106206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 6) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/70 - 3726\/(-10)?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - m**2 + 4*m. Let d(w) = -w**3 + 2*w. Calculate -3*a(v) + 5*d(v).\nAnswer: v**3 + 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 9 - 34 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398208452 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/p)\/p)**(-5)*(p**0)**(-30)*(p*p**(-1\/2)*p)**47*(p\/(p*p\/(p**(-2\/9)\/p)))**(2\/7) assuming p is positive.\nAnswer: p**(4874\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (598\/(-138))\/(-13)*18\/40?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*b**4 - 93 + 7*b**4 - 3*b - 322*b**3 + 5*b**4 - 2*b**4 + b wrt b.\nAnswer: -60*b**2 - 1932*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 15*i**2 + 43*i + 36. Give h(12).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -1 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 5*l**2 - 3*l + 6. Suppose 17*y - 45 = 8*y. Give g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 588 (b) -4 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108723893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-14 + 6 - -16 - 4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 15 = -b, 5*y - 267*b + 270*b = -11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (3 - 1 - 2)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 11. Let n(q) = -4*q - 10. Is n(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f + 5*f + (3 - 2 - 2)*(f - 3*f + f) - 379 + 379 - 26*f)*(0 - 5 + 4)*(4*f + 2*f - f).\nAnswer: 115*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 21*y**3 - y**2 + y - 1. Let w be r(1). Let k = -18 + w. Which is smaller: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.92917 - 0.07083. Which is the nearest to g? (a) -19 (b) -1\/6 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6963)\/(-7174)*14\/231?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/30 + -5 + (-1788)\/(-90). Let j(u) be the first derivative of 2\/3*u**3 - g + u**2 - 12*u. Determine o so that j(o) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 50, 144, 326, 626, 1074, 1700, 2534?\n\"Answer: 5*b**3 - b**2 + 4*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.04 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379680400 rounded to the nearest one million?\nAnswer: -1380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g + 2 - 1154 = 0. What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 163.08, -55.\nAnswer: -55, 2\/3, 163.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 148*k**3 - 194758*k**2 + 63674160*k + 262231200 = 0.\nAnswer: -301\/74, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4217 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482.3142 milliseconds to seconds.\nAnswer: 0.4823142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5 - 22*g**4 - 13*g**3 + 180*g**2 + 252*g = 0 for g.\nAnswer: -21, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 2235*a + 22448. Determine d(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**3 - 9*d**2 + 3*d + 1. Let i(a) = -64*a**3 + 87*a**2 - 26*a - 10. Give 19*h(n) + 2*i(n).\nAnswer: 5*n**3 + 3*n**2 + 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngngngnnnnngn. Give prob of picking 3 n.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3956 and 1253880.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -157658832 divided by 8?\nAnswer: -19707354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/54794 or 1?\nAnswer: 101\/54794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*(-15)\/(-1)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (0 + 4*sqrt(2000))*-6 + 5 + -3)**2.\nAnswer: 5760*sqrt(5) + 6912006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5332, 5452, 5660, 5962, 6364, 6872, 7492?\nAnswer: 8230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -47, -79, -129, -203, -307, -447?\n\"Answer: -f**3 - 13*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 420*k - 7*k.\nAnswer: -414*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199 (base 13) to base 11.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 divided by -3.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4284 - 3716. Calculate the smallest common multiple of p and 96.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55288841?\nAnswer: 19, 31, 37, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 425344909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1271 = -7*i + 3154. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/14*364\/(-104). Which is the closest to 2? (a) -3\/5 (b) i (c) 0.4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -791 + 5540 = 125*v - 1552 - 2574 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21560)\/(-91))\/22 + -11 + (-15)\/(-741).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122805431 is divided by 235711.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {y: 8, r: 2, o: 2, u: 1, k: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -0.05225 (c) 40.77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29)\/(-9) - 6\/27. Suppose -51 = 3*a + 4*t - 266, -4*a + 2*t = -316. Suppose 2*h - 71 = -f*o, 2*h + 14 + a = 3*o. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 11. Let i be r(-12). Sort -4, i, 4 in descending order.\nAnswer: 4, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 6*k - 115 = 4*k, 5*k = -4*g - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -97243, -2, 30 in ascending order.\nAnswer: -97243, -2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15394 - -21579. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45 + (-2 - 0\/(-2)). Let m = 6528 + -6484. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 30 = k, 0*j + 2*j + 3*k - 25 = 0. Suppose 0 = -3*r + r + x + 2998, j*r = -5*x + 7465. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (-20 - -52) - (3 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*52\/(-4) + 2. Let r = 11 + q. Suppose r = 5*h - 0*h + 20. Put 0, -3, h in increasing order.\nAnswer: h, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9583496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + z**2 - z. Let s(k) = -5*k**3 + 5*k**2 - 3*k - 4. Let b(n) = -4*q(n) + s(n). Let w be b(0). Sort 3, -3, w, -1.\nAnswer: w, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27298 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050384 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3422607 and 851589.8.\nAnswer: 4274196.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + a = 6, -h = 4*a - 9 - 1. Let g be (h - 5)\/((-3)\/(-10)). What is the units digit of (32\/(-20))\/(4\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 7. Let p(w) be the first derivative of w + 267. Let y(z) = 2*z**3 - 27*z**2 + 14*z - 12. Let c be y(13). Calculate c*q(d) + 6*p(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112221010 + -2002222?\nAnswer: -122001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/456*(-6)\/(-140)*(10\/5)\/4?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11283384*y**2 - 4*y - 11283384*y**2 + 16*y**3.\nAnswer: 16*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22246 by 1665.\nAnswer: 22246\/1665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -12, -36, -70?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 5*v = -14*f - 19, -20 = -2*f - 4*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -71*t. Let q(b) = 4*b**2 - 46*b. Determine q(c(d)).\nAnswer: 20164*d**2 + 3266*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -1, 0.088, -0.4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -4, 1, 10, 23, 40, 61?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3697952571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/652 - -1301\/1956. Find g, given that y*g**5 + 0*g**4 + 0*g + 0 - 2\/3*g**3 + 0*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5152 and -149\/552?\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 7. Let c be b(-7). Let n(k) = 7 + 696*k**2 - 699*k**2 - 2 - k**3. Let i be n(-2). Solve 0 = o - c*o + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2337 divided by 57\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 1. Suppose -4*l - 3 - 1 = 0. Let q be v(l). Find the first derivative of -2 - 3 - c**q - 16*c**2 + 16*c**2 wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3853 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 225822 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456012 by 76002.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -62000*d**2 + 2. Let i be f(5). What is i rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6*0.37.\nAnswer: -2.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 36 = 108. Solve -10 + k = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309600 by -77400.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2730447 and 5112.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -533 + 43. Let x = 493 + r. Solve 0 = -x*m + 7*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*z = 78*z + 48035. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4 - 9\/(-2). Suppose -3*z - 21*z - 168 = 0. Let i(t) = 3*t - 5. Let k(j) = 2*j - 3. Give y*i(u) + z*k(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108236776.4 take away -1.4977?\nAnswer: -1108236774.9023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and 22.26.\nAnswer: -912.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 11*d**2 + 14*d + 7. Give n(-7).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let n(h) = -1194 + 640*h**2 + 389 + 411 + 394. Calculate s(n(o)).\nAnswer: -640*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 + 0.06. What is the third smallest value in -5, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + h**3 + 4*h + 0*h**3 + 6*h**3 + 1570.\nAnswer: 7*h**3 + h + 1570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v**3 - 2*v**2 - 2*v + 1. Let r be s(-1). Let z(q) = q**3 + 12*q**2 + 4*q - 11. Let c be z(r). What is the highest common factor of 71 and c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 12. Let u = x + -12. Suppose u = -v + 4*v + 246. What is v rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + 2*(sqrt(1700) + 4) - (0 + sqrt(1700) + sqrt(1700) + 1 + sqrt(1700))*4*2)**2.\nAnswer: 4400*sqrt(17) + 822900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36499674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*s = 4*r + 12, 2*s = 3*r + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3)*o)**(-16)\/(o**(-2\/5))**(-42))\/(((o**1\/o)\/o*o**(-2))\/((o\/o**6*o)\/(o*o\/(o\/o**8)))) assuming o is positive.\nAnswer: o**(-482\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5043.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 49\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l + 52. Let n(x) = -16*x + 51. Let j(p) = -3*n(p) + 2*r(p). Is 6 a factor of j(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3 + 9*v**2 - 81*v + 135 = 0?\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 - -88. Solve -3*k - j*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m - 8 + 8.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -81. What is the remainder when r is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkq when three letters picked without replacement from wkqkkhwwkwkwhqwkiwk?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -512*a**3 - a + 292*a**3 + 286*a**3 + (-3 + 0 + 4)*(2*a**3 + 3 - 3) as i*a + x*a**2 + l + u*a**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 0*v**5 + 4*v**5 - v**5 - 2*v + 2*v + (-3 - 1 + 1)*(5*v**5 + 4*v**5 - 5*v**5) - 248*v**3 + 19*v**5 + 248*v**3.\nAnswer: 8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -623725 rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**3 - u**2 + 1. Let h be s(1). Let l = -5 - h. Calculate the remainder when 43 is divided by l*(0\/1 + 3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 4*s**3\/3 + 4*s - 6. Differentiate j(a) with respect to a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12691 divided by 799?\nAnswer: 12691\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 98. Let q be (1 - 100\/16)\/(9\/s). Calculate the highest common factor of 35 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/35 - (3 - (-37592)\/(-56)) is divided by 276?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 23103210?\nAnswer: 23103220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.7? (a) 1.5 (b) 12 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 1050*m.\nAnswer: 3*m*(m - 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1335?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*d = -720*d + 30 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 79 + 5 = 0. Calculate the remainder when 68 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171879470 to the nearest integer?\nAnswer: 13110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) 0.46 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 48, 131, 212, 291, 368, 443?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5 + 386*m**4 + 14746*m**3 - 103202*m**2 - 14748*m + 102816 = 0.\nAnswer: -136, -63, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17596 - 17591. Let v(f) be the second derivative of -f**6\/144 + 7*f**5\/120 + f**4\/12 + f. Let d(y) be the third derivative of v(y). Determine d(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 21632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(4\/(-4) + 0). Let p be ((-10)\/(-25))\/(m\/270). What is the highest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 >= 338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110001022 (base 3) in base 15?\nAnswer: -4c8be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i - 10. Suppose 3*j = -6, -4*q + 0 = i*j + 2. Suppose 0*g + 77999996 = 5*g + n, -q*n + 15599992 = g. Round g to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Suppose 2*t - 3 - 1 = w, a = 2*t + 2*w - 16. Solve 0 = 5*y - 3*r - 4, -t*y + 4*r + r + 11 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 12, o: 5}. What is prob of picking 1 o, 1 t, and 1 w?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.5537593 rounded to two decimal places?\nAnswer: 143.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 16. Calculate a(8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4346.051397 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 2192*k + 1 + 742*k**2 - 712*k wrt k.\nAnswer: 1484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/360 - 39*t**5\/20 - 59*t**4\/3 - 710*t**3\/9 + t**2 + 206. Factor g(b).\nAnswer: (b - 355)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7))**(19\/3))**22 assuming m is positive.\nAnswer: m**(-836\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*r**2 + 10*r**2 + 9*r**2)*(-26 - 2*r + 26 + (-2 + 5 - 2)*(-2*r - 3 + 3)).\nAnswer: -152*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m**2 - 6*m**3 - 153*m**3 + 1282 - 1282.\nAnswer: -159*m**3 + 57*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 391719 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33365 + -16656. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7721\/(-22060) - (-1)\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 13) to base 3.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-248)\/(-10) - 2)\/((-4)\/(-10)). Suppose d + k = 377. Suppose -a = 4*a - d. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2384*s**3 - 3*s**2 - 2*s - 6.\nAnswer: 14304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 16*l**3 - l**3 - 12*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.008 - -3.008. What is the fifth smallest value in 1, 15, 3\/2, -0.4, o?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(190))\/(6*sqrt(10)*2).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + u + 13 = f, 4*f + 4*u - 28 = 0. Suppose l = m + 3*l - 17, -5*l + f = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + l + 40. Let i be m(-7). Let x be (4\/(i\/6))\/((-2)\/4). Solve -2*r - x = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50.999828 + -51. Round w to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15307029.22359 and -5.\nAnswer: 15307024.22359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80525\/5059846 + 1\/30481. Find the common denominator of 131\/330 and p.\nAnswer: 27390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 6. Let r be f(-8). Suppose 15 = -3*w - r*w. Let j(b) = -b**3 + 2*b**2 + 4*b + 3. Is 36 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 121 + 101*z - 61 as a + s*z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = -186. Let g = -159 + l. Let q be 4\/22 + 144\/g. Which is the nearest to 1\/3? (a) -2\/11 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j**(2\/5)*(j**1)**(3\/47))**(-9\/11) assuming j is positive.\nAnswer: j**(-11556\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (-2*(-125)\/(-2))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(126\/(-12))*3\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657193204?\nAnswer: 2, 19, 257, 33647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -1200*p + 1204*p, 5*n - 2*p + 3 = 44 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*-6*(-720)\/(-45).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/10078 and -17\/20?\nAnswer: 100780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-2*v**4 - v**4 + 4*v**4) - 5*v**4 + v**4 + 5*v**4.\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = j - 12, 0 = -5*o - 10. Suppose -2*v + 28 = 3*y + 2*y, 0 = -2*v + 4*y - j. Solve 3*k + c = 6 - 4, -v*k - 19 = -3*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202 + -112022211102121?\nAnswer: -112022211121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4909\/930 + -53\/10. Which is the fourth smallest value? (a) 1\/3 (b) -3\/5 (c) o (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:58 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q - 153 = -109 - 629 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**3 + 19758*i**2 - 1330959 wrt i?\nAnswer: 6*i**2 + 39516*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 15*i**2 + 17*i - 2. Let y be z(7). Suppose -4*w + 752 = -y. What are the prime factors of w?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*x**2 + 25*x**2 + 59*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 156, 340, 524?\n\"Answer: 184*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*b + 5, -2*x + 35 = 5*b. Suppose -4*m - 3*c = m - 1, 2*c = m + x. Is m at least 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + (-19)\/(10 - 67). Suppose 25 = 3*x - x - 5*i, 0 = -3*x - 2*i - 10. Suppose -5*g + 3*g + x*g = r. Is g < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191.2 + -185.2. Let k = 10 - 8. What is the fourth biggest value in c, -5, -4, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -2)*13\/(-2). Let d(n) = n**2 - n + 1. Let p be d(-3). What is the greatest common divisor of z and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -2632?\nAnswer: 526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9092199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 3650, -9, 0.4 in increasing order.\nAnswer: -9, 0.4, 0.6, 3650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*l**2 - 130*l**2 + 18*l**2)*(3 - l - 3).\nAnswer: 49*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + q**2 + q. Let c(r) = 7 - 7 - 2*r - 3*r**3 + 7*r**2 - 6*r**2. What is c(t) - 2*v(t)?\nAnswer: -t**3 - t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*t + 15, 3*i - 5*t = 2*i + 15. Suppose u - 7 + 1 = i. Let w be (8\/(-12))\/((-1)\/u). Put w, -4, -5 in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2160774278 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141.141 - -6757.\nAnswer: 6898.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) -4\/17 (c) -3 (d) 4\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 942 and 586866.\nAnswer: 586866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*(-13)\/(-273)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(17\/(765\/10)). Let u(r) = r. Let q(z) = 2*z**2 - 4*z - 1. Determine n*u(v) - q(v).\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 27*z**5\/5 + 9*z**2\/2 - 7. Find the second derivative of r(p) wrt p.\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11700 and 121738.\nAnswer: 712167300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 127 - 72)*(-1 + 1 - 2*d)*(-5*d**2 + 3*d**2 - d**2) + 81*d**3 - 128*d**3 + 72*d**3.\nAnswer: 499*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -5*w - 8, 28 = 4*u + 2*w. Solve 5*m - u = -4*a, m - a + 12 = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Calculate the lowest common multiple of -3 - (-16 - 2)\/v and (14\/6)\/(3\/9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v + 8096164 = 290*v. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-342)\/(-133))\/3)\/(2\/(-14)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226780 divided by 288.\nAnswer: -56695\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 131210?\nAnswer: 131221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56178.5112 microseconds to weeks.\nAnswer: 0.00000009288775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-32)*(i\/(i*i**47)*i)\/i*i*i**9*i**29*i assuming i is positive.\nAnswer: i**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 3799.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6076 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = j + 4*j. Let i(d) = 0*d + j*d**2 + 0*d. Let o(x) = -3*x**2 + 4*x**2 + 3*x**2. What is i(o(m))?\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 46854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 17}. What is prob of picking 2 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2418*i**3 + 23*i**2 + i?\nAnswer: 14508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1\/6 (c) -2\/11 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.17, 19, -5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 282 + 33 = 0. What is the highest common divisor of 189 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.5, -6\/5, 318.2, 32 in decreasing order.\nAnswer: 318.2, 32, 14, -0.5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 25 - 60 = -5*p, 35 = 5*p - 2*u. Let a be ((-2)\/6)\/((-43)\/(-516)). Let w = a + p. Solve -w*s - 11 = -5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 5*o. Let k(h) = -6*h**2 + 8*h. Let m(c) = -5*k(c) - 8*v(c). Let w = 1 + 1. Let d(a) = 6*a**2 - a**2 - 4*a**2 + 6*a**w. What is d(m(z))?\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.493957 to 3 dps.\nAnswer: -0.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 1. Let y(k) = -4*k + 1. Let l(i) = 6*h(i) - 5*y(i). Determine l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 907?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-69)\/(-322)*(-12)\/(-60)*1\/3\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 24, 7, -28, -87, -176, -301, -468?\n\"Answer: -i**3 + 2*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5 + 38\/95. Let j(h) = -h**2 + 4*h - 2. Let n be j(2). Suppose -5*r + n*d + 44 = -r, u = -3*d + 6. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/18 - (-195)\/(-18). Let f = 20 + l. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3 - 1444\/2094. Let u = w - -12977\/2792. Calculate the common denominator of u and 2 + 0 + (-136)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 23045 - 96825 = -10*z. What are the prime factors of z?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 12*c + 11 - 4 - 79077*c**2.\nAnswer: -79077*c**2 - 3*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70754, 70633, 70538, 70475, 70450?\nAnswer: 70469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*f**2 - 2*f - 3*f - f**2 + 4*f to s + x*f + y*f**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - -317915?\nAnswer: 317900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -329*y + 2866 + 4358 = -200*y for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*r + 1 = 5, 0 = 4*r - 12. Let a(o) = -o - 1. Let u be a(y). Let w be 1\/(-2 - -4 - u). What is the biggest value in 2, w, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1112 and 245084522?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139043 + 1531207\/11. Let q = 1009106 - 77713564\/77. Let k = q + u. What is the common denominator of k and -7\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -18*n + 38. Solve 4*a - 1 = -n*s + 6*a, 4*s = 4*a + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d - 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416011 (base 7) in base 11?\nAnswer: 49958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 1 - 56\/64?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -10. Let q(d) = -2 - 4*d - 9*d - d - d**2 + 8*d. What is the units digit of q(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -8 + 7 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71999866 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.502 to one dp.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r**2. Let m(w) = 603*w**2. Determine z(m(h)).\nAnswer: 4363308*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqllql. Give prob of picking 1 q and 3 l.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-477398)\/154824 + 1*-2. Let m = d - -1\/6451. Calculate the common denominator of ((-4)\/(-20)*-3)\/(110\/775) and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 24 = 22 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 5137?\nAnswer: 9\/5137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126220831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(3\/(-279)). Let g(z) = z**3 + 11*z**2 + 11*z + 6. Let k be g(-10). Let i = c - k. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppenze. Give prob of picking 1 p and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301616 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 - 20*r**2 - 6*r + 4. Is w(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**10)\/(s\/(((s*s*((s*s**(-5\/4))\/s)\/s)\/s*s)\/s))*(s\/(s\/s**(-3)))\/(s*(s\/(s\/s**(-12)))\/s) assuming s is positive.\nAnswer: s**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72000408 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*a - 257559 = 0, 4*z + 22*a = 18*a + 1030172. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 9*m**2 - 22*m - 3. Determine n(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 2343630.\nAnswer: 2343629.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:58 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*m - 6 = 0, 166*z + 5*m - 26 = 155*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36089, 72190, 108293, 144398, 180505?\nAnswer: 216614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 2, c: 7, m: 2}. Give prob of picking 1 m and 1 j.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 711898184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305101798 - 305101799.181000591. Let u = -1.181 - s. Round u to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 - 15*q - 69 + 0*q + 127 to a*q + m and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4 = 248. Suppose r*n = 39*n + 204. Calculate the greatest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (1 - (-9 - 4)) + 21 - 64\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1947522 or 1947487?\nAnswer: 1947487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 68 - 72 - 806*n - 69.\nAnswer: -806*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/45 + 4416\/(-17595). What is the closest to -0.1 in 2, -2, -4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 216*k**2.\nAnswer: k**2*(k + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 37643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5 + 810\/(-75) + -12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21799*h**2 + 21739*h**2 + 32*h - 10*h**4 + h**5 + 37*h**3 + 4*h = 0. What is h?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 37 - 41. Let s be 109950*((-64)\/72)\/(n\/(-1500)). What is s rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2440)\/(-11) - (-1 - (-90)\/110). Calculate the greatest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -24475?\nAnswer: 1\/4895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*h*j**2 - 11*j**2 + 3 wrt h?\nAnswer: 83*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.24 - 4.24. Let g = -1.6 + 2.5. Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**4\/24 + 4*l**3 + 3*l**2. Let j(h) = h**3 - 2*h**2 + 2*h - 1. Let a be j(1). List the prime factors of z(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 217*u + 302. Suppose -2*f + 26 = -34. Calculate the remainder when f is divided by v(-71).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 minutes after 9:06 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1542 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*z + 2*z - 4, -4*z + x = 52. Are -12 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:49 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*1*(-1 + 2). Suppose 2*z + c = -z. Suppose 5*b - 3*l + 17 = 0, -3*b - 2*l + 4 = b. Is b < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12998*s - 2618. Let l be o(1). Calculate the greatest common factor of 180 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11213 divided by -2932\nAnswer: -11213\/2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 7*x - 1 - 2 + 0 - 3 - 7*x**3. Let h(b) = 15*b**3 + 31*b + 3*b**3 + 9*b**2 + 2*b**3 + 17 - 51*b. Determine 6*h(v) + 17*s(v).\nAnswer: v**3 + 3*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -963*k**3 - 2*k**2 - 8*k - 6. What are the prime factors of z(-1)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -11*f + 3. Let a(r) = -85*r**2. Give a(o(v)).\nAnswer: -10285*v**2 + 5610*v - 765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33002 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132449*y**4 - 380*y**2 - 2*y - 25520295?\nAnswer: 1589388*y**2 - 760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4686 and 781?\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621175174?\nAnswer: 2, 41, 7575307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*h - 3294*h**3 + 3293*h**3 + 5*h wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 355916469?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 68*u - 605. Let t be g(-76). Put -5, 114, t in descending order.\nAnswer: 114, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*p - 51300 = -108*p. List the prime factors of p.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00226093534 to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -12 - 5 - -6 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 = f, -y - 8 = -f + 7. Suppose -n = f*n - 89968. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -5541.\nAnswer: -2216.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*z - 870, -5*v - 224 = -z + 48. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-196))\/((-4)\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.892203 nanograms in grams?\nAnswer: 0.000000005892203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2526 and 589400.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(-4 + sqrt(832) + 0 - (sqrt(832) + 0 + sqrt(832) + sqrt(832) + 2 - sqrt(832))))**2.\nAnswer: 1536*sqrt(13) + 13886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 8 - (46 - (45 + 47))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25484.37 years to decades.\nAnswer: 2548.437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*(103 + 0). Let d = b + -58. Let y be ((-6912)\/(-40))\/12 + -3 + 108\/30. Calculate the highest common factor of y and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 100*n**2 + 19*n + 44. What is the hundreds digit of z(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -0.3, 64, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.93 - 0.93. Let s = t + -104. Let c = s - -86. Which is greater: c or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - a + 22. Let o be k(7). Let t be o\/51 - 1\/(-3). What is the smallest value in t, 2\/3, 1, -2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/7 + 172*y**4\/7 - 1390*y**3\/7 - 8184*y**2\/7 = 0. Calculate y.\nAnswer: -93, -4, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 344f970?\nAnswer: 344f974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((((-33)\/(-2))\/(-11))\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 148. Is x a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((-4620)\/(-238)) - ((-9)\/(-3) + -4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2327582 = -3*v - 5*g, -3*v = -2*g - 2327617. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*12\/9 - -23. Suppose -4*s + m = -l + s, l + 5*s - 11 = 0. Let q = 5.6 - 6. What is the biggest value in l, q, -4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005047908 rounded to 6 dps?\nAnswer: -0.005048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 2*c**2 + 2*c. Let l(t) = -5*t. Let q be l(-4). Let h(y) = -6*y**3 + 35*y - q*y - 20*y + 6*y**2. Calculate -3*h(r) - 8*i(r).\nAnswer: 2*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17310950 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -3, 3, -56, 4, 1.\nAnswer: -56, -3, 1, 3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x - 30. What is the tens digit of h(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 60*t + 373. Determine d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*v + 24, 3*v = 5*k - 75 + 13. Suppose k*d + 29 = 14*d. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.09381?\nAnswer: 0.30619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 1310790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263 + -126. Let g(k) = k**3 - 9*k**2 + 3*k + 8. What is the remainder when y is divided by g(9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/3*-360*(-217)\/(-986265)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r - 20. Give g(-6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {a: 4, k: 6, f: 4}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 - -1.81024. Let m = -0.237 - -0.227. Let y = m + h. Round y to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {p: 2, m: 1, v: 2, l: 2, y: 2, u: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 17*o + 136. Let x be v(-8). Let d(m) be the second derivative of x + 19*m - 2\/3*m**3 + 11*m**2. Differentiate d(a) with respect to a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*o - 4*u + 15, -2*u - 40 = -2*o. Let x = 40 - o. Let h(r) = 10*r**2 - 1. What is the remainder when x is divided by h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207*z**5 - 2*z**2 - 3*z.\nAnswer: 12420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxb when three letters picked without replacement from {x: 6, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/613 (b) -4 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 33*l + 1. Let j be 4 + 0 + -6 + -2. What is the remainder when r(1) is divided by j\/8*24*(1 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.105 + -0.005. Let m = 6 + -10. Put -3, 1\/6, r, m in increasing order.\nAnswer: m, -3, r, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t - 82. Calculate m(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17473*u**6 + 6039*u**4 + 475447484*u**2?\nAnswer: -2096760*u**3 + 144936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -930a5 (base 13) in base 3?\nAnswer: -111101211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekwwwaikigi. Give prob of picking 1 k, 2 i, and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {h: 12, n: 1, b: 5}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l + 2*k - 360, -4*l = -5*k - 747. Suppose -l*c = -191*c. What is the fourth smallest value in 3, -0.3, 0.7, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9108137 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 355270028 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + f = -22, 4*g - 5*f + 9 = -26. Calculate the remainder when 558 is divided by (2\/g)\/((-68)\/3400).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/((-176)\/55) - (1 + -2346)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 18. Let m be ((-1)\/f)\/((-4)\/8). Factor 0 - 2\/9*j**2 - 4\/9*j + m*j**3.\nAnswer: 2*j*(j - 2)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 - 5*s + 5. Calculate f(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 639940449 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9164 is divided by 451?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1992 by 302.\nAnswer: -996\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203422*t**5 + 466*t + 69 wrt t.\nAnswer: -4068440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -695.53066 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 1. Let m be j(-2). Let g(k) = -k**2 - 3*k. Let v(z) be the second derivative of z**3\/6 - 10*z. Determine m*g(w) + 5*v(w).\nAnswer: -w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172*q + 17 = -3*c - 1176*q, -2*q = -c + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -cb1?\nAnswer: -cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8622.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 14 = 2*u, u - 10*d = -7*d + 17. Find the common denominator of -44\/35 and u\/5 + 4 + 156\/(-165).\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - 3*m**2 + 5*m**2 + (3*m + 2*m - 3*m)*(-1 + 1 - m) + (m + 0*m - 2*m)*(2*m + 2*m + m) - m**2 + 3*m**2 + 0*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vthi when four letters picked without replacement from thfvtiftfftfithf?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -235*o - 8 + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(28)\/sqrt(64))**2 - (-1*sqrt(7) + -1)**2*1) + -4.\nAnswer: -105\/16 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4075, -8152, -12229, -16306, -20383, -24460?\nAnswer: -28537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 + 2*n**3 + 13*n**2\/4 + 3*n\/2.\nAnswer: n*(n + 1)**2*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 1*(3 - (7 - 145))*(-8)\/(-12).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 232*x + 7 - 233*x + 467*x.\nAnswer: 2*x - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -8. Let m = 52 + o. Let d = -31 + m. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7152049621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (-2 + 580\/336) and 79\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 + 28 = -j, 2*f + j + 11 = 0. Sort 7, f, 0, 2 in decreasing order.\nAnswer: 7, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1462, -1490, -1518?\n\"Answer: -28*x - 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 46*m - 692. Calculate o(58).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2 - 1 - 3 - m. Suppose 0 = 4*r + 3*o - 3, r + 4 + 14 = 3*o. Calculate v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*v - 12, -2 + 0 = -v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**5\/20 + 73*q**3\/3 - 115. Let o(m) be the third derivative of t(m). Let r(v) = 11*v. Determine o(r(d)).\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 4579 - 14323 = 0. Suppose -4*p + i - 246 = 0. Is 50 a factor of (-2 + (4 - p))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5325.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -114.32291 and 5584.\nAnswer: 5469.67709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 = -w, 2*w - 3 = -t - 0. Solve 5*q = 3*k + 35, -2*k - 4 + 2 = w*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 25 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 365669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 125 - 25*o**3 + 22*o**3.\nAnswer: -3*o**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6412466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*k**2 + 480*k**2 + 270*k**2.\nAnswer: 931*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1631 + 19*r**2 - 1600 - 4*r**2 + 3*r + r**3 - 2*r**2 + 0*r**3. Give y(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/51 - (-25810)\/34. Suppose d = 3*b - p - 2482, 5413 = 5*b + 4*p. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810725?\nAnswer: 5, 32429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**4 - f**4 - f**2 - f**3 + 2*f + 2*f**4 + 1 in the form d*f**4 + i*f**3 + t*f + u*f**2 + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k. Let q(t) = 3*t**2. Give y(q(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 6*o**5 - 11 + 2 + o**5 - 2 - o**5 + o**2 - o**2 + (-2*o**4 + o**4 + 3*o**4)*(-4 - 2*o + 4) + o**5 - o**5 + o**5.\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/(45\/135)*(-15)\/(-24)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 220 (b) -1 (c) -1\/5 (d) 15\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 1405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 - 1\/1. Suppose -w + 5*v + 4 = -f*v, -3*w = 4*v - 12. Is (-552)\/(-21) + w\/(-14) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 19*x - 36. Suppose 10*m = -4*m + 14. What is the third smallest value in x, -1.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/(-20))\/(-3)*5. Let l be 3\/(r\/21 + 0). Let m = l - 8. What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = -5*l - 6, 0 = -b - 5. Let t be -1*1*(-1 - -5). What is the smallest value in -2\/13, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 - -6.6. Let k = 0 - -0.2. Which is the third biggest value? (a) k (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 8. Let g be j(8). Let x be 7 + 76\/(-8) - 12\/8. Is x bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 498645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432867 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(832))*1)**2 + 0.\nAnswer: 144*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/623 (b) 1\/8 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k + 0*k + (-7*k - 3*k - 6*k)*(-9 + 10 + 25).\nAnswer: -414*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwfwwfwfwwwww.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5 - 3 + 8*j - j. Let b be n(6). Solve -3*v + b = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27260*s + s**2 - 27260*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6663383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/21 + 2*b**4\/3 - 22*b**3\/21 - 38*b**2\/21 + 40*b\/7 - 24\/7 = 0 for b.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 100.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292, -272, -252, -232?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 22. What is the remainder when q is divided by -2*((-123)\/18 - (-1)\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(((i*((i*i**25)\/i)\/i)\/i)\/i)\/i*i)\/(i*i**(1\/7)))\/((i*(i*(i**(-1\/8)\/i)\/i)\/i*i*i*i)\/i*i)**(-9\/8) assuming i is positive.\nAnswer: i**(11633\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 3*u + 8, 14*y = -7*u + 11*u + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 7, d: 3, o: 4}. What is prob of picking 2 d and 1 o?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 6*k - 232. Suppose 0 = 22*x - k*x. What is x rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/24024350 or -1?\nAnswer: -3\/24024350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + (3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y. Let d(t) be the first derivative of 5*t**5\/12 + 8*t**2 + 2*t + 22. Let n(w) be the second derivative of d(w). What is u(n(c))?\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 0. Let w = 1 - u. Let g = 17\/52 - 1\/13. Sort 4, g, w.\nAnswer: w, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 + -2) - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/4, 0, 5, 4, -0.3, -0.166 in increasing order.\nAnswer: -13\/4, -0.3, -0.166, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 3. Let r be c(-3). Let j(m) = m**3 - m**2 - m + 33. Is j(r) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -17. Suppose -2*d = 2*s - 1 + q, -5*d - 10 = -3*s. Suppose -4*m + 1573 - 401 = s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4\/7*28\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10358928 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7 - (1 - 18) - (-28 + -3) is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8018 and 3292928.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 2. Suppose -6*w + 5 = -5*w. What is r(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -83*s - 34. Is 20 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 726229.64 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -47*v**6\/3 - v**2\/2 - 229*v + 148. Find the second derivative of s(i) wrt i.\nAnswer: -1880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -437 - -442. Suppose -4*y - 2 = -j, 3*y = -2*j + y + 4. Suppose j*s = -3*s + 5. Sort m, 0, s.\nAnswer: 0, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/45 + -47*3\/(-27)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340064212.\nAnswer: 2, 7043, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + 4 - -4 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -2*i**4\/3 - 31*i. Let a(h) = 6*h**2. What is a(y(q))?\nAnswer: 384*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 71. Let r be s(-12). Let f be 102\/(-153) + (r\/(-3) - -2). What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/36 and 97\/469220.\nAnswer: 4222980","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -17*j**2 + j. Give n(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(sqrt(245) + (sqrt(245)*-1 + sqrt(245) + 5)**2)*-1 - ((sqrt(245) - -2*(sqrt(245) + (sqrt(245) - 1*sqrt(245))) - 6*sqrt(245)*-2) + 4)**2).\nAnswer: -110232 - 1666*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -24. Let l be (a\/(-12))\/((-2)\/(-48)). Let k(h) = 168*h - 2518. Let f be k(15). Calculate the highest common factor of f and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let l(n) = 2*n**2 - 6*n + 144. Give l(i(m)).\nAnswer: 2*m**2 + 6*m + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -123. Let l = -81 - b. Suppose -c - 2340 = -5*d, -d + l*c = -2*d + 457. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9239.036 seconds to microseconds.\nAnswer: 9239036000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/16 + (-122994)\/(-8). Let b = 26612393\/1731 - z. Let v = 40970\/5193 + b. Calculate the common denominator of v and -67\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5601\/5 - 2615652\/2335. Is m less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8 + 2\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282662819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-32)\/(-4))\/(4 + 2). Factor -b*o**2 + 27*o + 30*o - 33*o - 4*o**3.\nAnswer: -4*o*(o - 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*z - 11090 - 8574 = 0, -24638 = -5*v + z. What is the remainder when v is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*l - 69 + 539, 0 = -2*l + 4*u + 200. Suppose -t + 105 = 5*a, -t - t = -5*a + l. Is 1004*1*5\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) - (-1)\/(-28). Let u(v) = -v**2 - 7*v - 2. Suppose -2*b = -2*g + 12, -5*b = -2*g + 11 + 19. Let o be u(b). Sort n, o, 5 in descending order.\nAnswer: 5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - -3 - -3 - -3. Determine x, given that -v*x**2 - 6 + 4*x - 3*x + 4*x**2 + 0*x = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/(-35))\/((-684)\/1064))\/((-8)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 - w**3 + 63*w?\nAnswer: 24*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/3040)\/(6\/39840*5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -35558501?\nAnswer: -35558485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 8*d. Sort 3, -4, d in ascending order.\nAnswer: -4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 - 1) + (-5333 - -5422).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j**2 + 5*j - 6. Let q(s) = -10*s**2 - 2*s + 3. Let z(d) = -2*p(d) - 5*q(d). Let o(t) = 16*t**2 - 5. Give -3*o(g) + 5*z(g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 40*a - 437. Let y be g(11). Solve 5*t = -4*l + 8, 4*l - y*t + t + 20 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*l + 5*l**2 + 29*l)*(0*l + 12*l + 11*l - 35*l) to the form p*l**3 + k*l + y*l**2 + h and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0 + s**2 - 2*s + 2 + 0. Let k be (-3 + 2)\/(1\/5). Is r(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffwwfwwwfffw. Give prob of sequence fwf.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - 415 = -r, 2*j - 6 = 0. Let p = 418 - r. Calculate the lowest common multiple of 8 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -r + 3*d, 3 = 5*r - 3*d + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 553, 541, 559, 625?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 2102405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - f + 1\/2*f**2.\nAnswer: f*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/841 + 2531\/3364. What is the nearest to 1 in -4, l, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10923, -21650, -32123, -42216, -51803, -60758?\n\"Answer: 21*k**3 + k**2 - 10877*k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, t: 3, y: 2, p: 2, b: 1, h: 1}. Give prob of sequence yhkp.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q**(4\/9)\/q*q))\/q))**(3\/5)*(((q*q**(-20)*q)\/q)\/q)\/(((q\/(q*q*q\/(q*q**(-8))))\/q)\/q) assuming q is positive.\nAnswer: q**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8216 and 27729?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/4*-56*(-11)\/(-110). Calculate the greatest common factor of 590 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63953 - 5?\nAnswer: 63948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 524 and 1240177?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*x**2 - 3248*x**3 - 40*x**2 - 36*x**2.\nAnswer: -3248*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7554411 * 0.02.\nAnswer: -151088.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 277*o**2 - 9. Let l(b) = 137*b**2 - 4. What is -18*l(k) + 8*p(k)?\nAnswer: -250*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away -96360?\nAnswer: 96368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036.664g in milligrams?\nAnswer: 1036664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kksa when four letters picked without replacement from easkasaaksn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 983*z - 720. Is k(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9073 = -4*k + 8835. Suppose 0 = 3*p - k - 2186. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzsszzzzzzz. What is prob of sequence zssz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 12*s - 9*s = -38, -2*c - 71*s - 42 = -58*s for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-6))\/((-6)\/8). Let a be 0*(1 + 1)\/4. Suppose -d - x*d + 12 = a. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (6 - -49) + (1 + -1 - 23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5620*l**2 + 723*l**2 - 4910*l**2 + 2448*l**2.\nAnswer: -7359*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 6:16 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1036818 or -1037069?\nAnswer: -1037069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = h + 4, 2*h - 3 = -3*z. Let c(d) = d + 12. Let f(m) = 4*m + 32. Let p(q) = -11*c(q) + 4*f(q). What is the remainder when z is divided by p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65132726*s**4 + 29*s - 1805868 wrt s.\nAnswer: -781592712*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 35*t**2 - 199*t + 42. Give z(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182787*g**5 - 2*g**4 + 201*g**3 - 5589*g**2 - 385*g - 5 wrt g?\nAnswer: -10967220*g**2 - 48*g + 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -72*o**2 - 66*o - 65. What is j(-1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Let k(o) = o**3 + o**2 + o + 9. What are the prime factors of k(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - -322?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5646 at most 5590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18788428 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**6\/360 - a**5\/30 - a**4\/12 - 4*a**3 + 1. Let h(y) be the third derivative of q(y). Let p be h(4). Sort p, -4, 5.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -807*r - 4033. Let h be o(-5). Solve 3*l = -f, f = 2*l + h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*-4*-3)\/sqrt(3))\/(((sqrt(56)\/sqrt(2))\/sqrt(7))\/sqrt(2)).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-1))\/(-72)*-6*(-2)\/14?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10)*2)\/((-77)\/110).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 1. Let j be d(-2). Let a(t) = -t**2 - 8*t + 11. Let g be a(j). What is the third derivative of -2*y**5 - 7*y + 6*y**g + 7*y - 3*y**2 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/1)\/(-5 + 6). Let a be (-22)\/(-10) - (-1)\/(-5). Suppose -4*j = -5*x - j + 19, 2*j = -z*x - a. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}